Library Guide Grade 6
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Welcome Thank you for purchasing this Accelerated Math Library. Libraries include the objectives for a specific grade level, math subject, state requirements, or textbook. Each library includes enough objectives to cover a complete year of math. Libraries are designed to follow common curriculum guidelines and the content of widely used math textbooks. Libraries are the source of the problems that appear on the assignments and tests you print for your classes. Within each library, closely related problems are grouped by objective. This Library Guide includes the topics covered by the library, the objectives related to each topic, and sample problems from each objective. To install the library, use the instructions you received. You can also find instructions in the Accelerated Math Software Manual. If you have any questions about libraries or installation, please email us at answers@renlearn.com. Contents Topic 1 - Ratios and Proportional Relationships...1 Obj. 1 - Relate a ratio to a diagram...1 Obj. - WP: Determine a ratio using whole numbers less than 0...1 Obj. - WP: Determine the ratio of two whole numbers, at least one of which is larger than 0... Obj. - Determine a ratio relationship between two quantities... Obj. - Determine a unit rate... Obj. 6 - Relate an input-output table to equivalent ratios... Obj. 7 - Find a missing value in a ratio table... Obj. 8 - Determine the graph of the values in a ratio table... Obj. 9 - WP: Compare two ratios using tables...7 Obj. 10 - WP: Determine a unit rate with a whole number value...9 Obj. 11 - WP: Determine a unit rate with a decimal value...9 Obj. 1 - WP: Use a unit rate with a whole number or whole cent value to solve a problem...9 Obj. 1 - Relate a percent of a quantity to a rate per 100...10 Obj. 1 - WP: Determine a percent where a ratio, not in 100ths, is given...10 Obj. 1 - WP: Relate a percent of a quantity to a rate per 100...10 Obj. 16 - Determine the percent less than 100% given a part and a whole...11
Obj. 17 - Determine the part given a whole and a percent less than 100%...11 Obj. 18 - Determine the whole given a part and a percent less than 100%...1 Obj. 19 - Determine the part given a whole and a percent more than 100%...1 Obj. 0 - Determine the whole given a part and a percent more than 100%...1 Obj. 1 - WP: Determine the percent less than 100% given a part and a whole...1 Obj. - WP: Determine the part given a whole and a percent less than 100%...1 Obj. - WP: Determine the whole given a part and a percent less than 100%...1 Obj. - WP: Determine the percent less than 100% given two parts of a whole...1 Obj. - WP: Determine the whole given a part and a percent more than 100%...1 Obj. 6 - Convert measurement units using ratios...1 Obj. 7 - WP: Solve a problem involving measurement conversion...1 Obj. 8 - Convert a rate from one unit to another with a change in one unit...1 Obj. 9 - Convert a rate from one unit to another with a change in both units...1 Topic - The Number System...17 Obj. 0 - Divide a multi-digit whole number by multiples of 100 or 1,000...17 Obj. 1 - Divide a multi-digit whole number of up to seven digits by a - or -digit whole number...17 Obj. - Determine the multiplication expression involving rational numbers that is equivalent to a given division expression...17 Obj. - Divide a fraction by a fraction...17 Obj. - WP: Divide a fraction by a fraction...18 Obj. - Add two or more decimal numbers of differing places to thousandths...19 Obj. 6 - Subtract two decimal numbers of differing places to thousandths...19 Obj. 7 - Multiply two decimal numbers through thousandths...19 Obj. 8 - Divide a whole number or a decimal number through ten thousandths by 0.001...0 Obj. 9 - Divide a 1- to -digit whole number by a decimal number resulting in a quotient that contains thousandths or ten thousandths...0 Obj. 0 - Divide a decimal number through ten thousandths by a 1- or -digit whole number or a decimal number through hundredths...0 Obj. 1 - Find the greatest common factor of two whole numbers less than or equal to 100...1
Obj. - Find the least common multiple of two whole numbers less than or equal to 1...1 Obj. - Apply the distributive property to determine an equivalent expression...1 Obj. - WP: Represent a quantity using a positive or negative number...1 Obj. - Identify or locate an integer on a number line... Obj. 6 - Identify a positive or negative rational number represented by a point on a number line... Obj. 7 - Determine the opposite of an integer given a number line... Obj. 8 - Determine the location of a rational number on a horizontal or vertical number line... Obj. 9 - Determine the location of an ordered pair in any quadrant... Obj. 0 - Relate the locations of two ordered pairs that differ only by signs...6 Obj. 1 - Identify the quadrant for an ordered pair...7 Obj. - Determine the ordered pair of a point in any quadrant...8 Obj. - Compare two integers...9 Obj. - Order positive and negative integers...9 Obj. - Relate a statement of inequality to the relative positions of two rational numbers on a number line...0 Obj. 6 - Compare positive and negative rational numbers...1 Obj. 7 - Order positive and negative rational numbers...1 Obj. 8 - WP: Determine a statement of order for rational numbers in context...1 Obj. 9 - Interpret a statement of order for rational numbers using context... Obj. 60 - Determine the absolute value of a rational number shown on a number line... Obj. 61 - WP: Solve a problem using absolute value to describe magnitude... Obj. 6 - Solve a problem by graphing points in all four quadrants... Topic - Expressions and Equations...7 Obj. 6 - Determine the exponential notation that represents a repeated multiplication...7 Obj. 6 - Evaluate a whole number raised to a whole-number exponent...7 Obj. 6 - Determine an exponential form of a whole number...7 Obj. 66 - Use a numerical expression involving whole-number exponents to represent a multiplication expression...7 Obj. 67 - Evaluate a numerical expression with parentheses and exponents, using order of operations...8 Obj. 68 - Identify parts of an expression using mathematical
terms...8 Obj. 69 - Use an algebraic expression with one operation to represent a verbal expression...8 Obj. 70 - Use an algebraic expression with two operations to represent a verbal expression...8 Obj. 71 - Evaluate an algebraic expression with one variable and two or three operations, using whole-number substitution...9 Obj. 7 - Evaluate an algebraic expression with two variables and two or three operations, using whole-number substitution...9 Obj. 7 - Evaluate an algebraic expression involving whole-number exponents...9 Obj. 7 - WP: Evaluate an algebraic expression or formula with one or two variables involving whole numbers...0 Obj. 7 - WP: Generate a table of paired numbers based on an algebraic expression with two operations...1 Obj. 76 - WP: Evaluate an algebraic expression involving exponents... Obj. 77 - Identify equivalent algebraic expressions... Obj. 78 - Determine solutions to a 1-variable linear inequality... Obj. 79 - WP: Use an algebraic expression with one variable and one operation to represent a situation... Obj. 80 - WP: Use an algebraic expression with one variable and two operations to represent a situation... Obj. 81 - Solve a 1-step equation involving whole numbers... Obj. 8 - Solve a 1-step equation involving fractions... Obj. 8 - WP: Use a 1-variable 1-step equation to represent a situation... Obj. 8 - WP: Solve a 1-step equation involving positive rational numbers... Obj. 8 - WP: Write an inequality of the form x > c or x < c to represent a constraint or condition...6 Obj. 86 - Represent the solution of an inequality on a number line...6 Obj. 87 - Relate coordinates to a graph and a table...7 Obj. 88 - Determine the algebraic expression with one operation for a table of paired numbers...8 Obj. 89 - Determine the graph of a 1-operation linear function...9 Obj. 90 - WP: Identify an algebraic equation with one operation for a table of paired numbers... Obj. 91 - WP: Use an algebraic equation to express one quantity in terms of another... Topic - Geometry... Obj. 9 - Determine the area of a triangle... Obj. 9 - Determine the area of a parallelogram... Obj. 9 - WP: Determine the area of a triangle... Obj. 9 - Find the area of a polygon composed of triangles and rectangles...6
Obj. 96 - WP: Find the area of a polygon composed of triangles and rectangles...7 Obj. 97 - Find the volume of a right rectangular prism with fractional edge lengths using unit fraction cubes...8 Obj. 98 - Relate volume found using unit cubes to multiplication of edge lengths in a right rectangular prism...60 Obj. 99 - Find the volume of a right rectangular prism with fractional edge lengths using a formula...61 Obj. 100 - WP: Find the volume of a right rectangular prism with fractional edge lengths using a formula...6 Obj. 101 - Determine the location of the vertices of a polygon on the Cartesian plane...6 Obj. 10 - Find a side length of a polygon on the coordinate plane...6 Obj. 10 - WP: Find a side length of a polygon on the coordinate plane...67 Obj. 10 - Determine a net of a -dimensional shape...70 Obj. 10 - Determine the surface area of a cube or a rectangular prism given a net...71 Obj. 106 - WP: Find the surface area of an object using a net...7 Topic - Statistics and Probability...7 Obj. 107 - Use a dot plot, histogram, or a box plot to represent data...7 Obj. 108 - Report the number of observations in a data set...77 Obj. 109 - Determine the mean of a data set...77 Obj. 110 - Determine the median of a data set...78 Obj. 111 - Determine the interquartile range of a data set...78 Obj. 11 - Determine the mean absolute deviation for a data set...79 Obj. 11 - Describe overall patterns and deviations within a data set...80
Topic 1 - Ratios and Proportional Relationships Obj. 1 - Relate a ratio to a diagram 1. What is the ratio of the shaded length to the unshaded length? [A] 6:7 [B] 6:1 [C] 1:6 [D] 7:1. The parallelogram below is made up of 6 small triangles. All the small triangles are the same size and shape. What is the ratio of the unshaded area to the shaded area of the parallelogram? [A] : [B] 1: [C] : [D] :1 Obj. - WP: Determine a ratio using whole numbers less than 0. An animal shelter has cats, 0 dogs, and 1 rabbits. The shelter publishes the ratio of cats to dogs in its latest newsletter. What is the ratio of cats to dogs? [A] 9 [B] 9. Hana is making breakfast for her family. The pancake recipe requires 8 tablespoons of butter and eggs. The recipe makes 16 pancakes. What is the ratio of eggs used to pancakes made? [A] 1 to [B] to 1 [C] 1 to [D] 1 to 1 [C] 1 [D] 1 1
Topic 1 - Ratios and Proportional Relationships Obj. - WP: Determine the ratio of two whole numbers, at least one of which is larger than 0. A tea importer is mixing a special blend of tea. The blend uses 80 ounces of Ceylon tea and 10 ounces of Nepalese tea. What is the ratio of Ceylon tea to Nepalese tea? [A] :7 [B] 7: [C] 8:7 [D] :8 6. A restaurant is making a large amount of salad dressing. The recipe uses ounces of vinegar and 60 ounces of oil. What is the ratio of oil to vinegar in the salad dressing? [A] 60 to [B] to [C] to [D] 1 to Obj. - Determine a ratio relationship between two quantities 7. What is the ratio of nickels to quarters in a dollar? [A] :1 [B] :10 [C] : [D] 10:1 8. What is the ratio of seats to wheels in a group of tricycles? [A] to 1 [B] 1 to [C] to [D] 1 to 8 Obj. - Determine a unit rate 9. A leaking faucet drips into a bucket. The faucet drips at a constant rate. The level of water in the bucket rises inches in 8 hours. What was the rate per hour of the water level change? [A] 1 in. hr [B] in. hr [C] 1 in. hr [D] 1 in. hr 10. A robot glued 8 cloth chairs in 6 hours. It glued them at a constant rate. What was the rate per hour at which the robot glued the cloth chairs? [A] 7 chairs hr [B] 0.0 chairs hr [C].0 chairs hr [D] 8 chairs hr
Topic 1 - Ratios and Proportional Relationships Obj. 6 - Relate an input-output table to equivalent ratios 11. A dessert recipe requires flour and sugar in a ratio of to. Which table has been generated using this ratio? [A] Cups of Flour 7 10 Cups of Sugar 6 8 11 [C] Cups of Flour 1 1 Cups of Sugar 1 6 108 [B] Cups of Flour 6 7 Cups of Sugar 0 100 600 [D] Cups of Flour 1 1 Cups of Sugar 9 69 1. Which table has pairs of numbers all in the ratio 7 to 8? [A] Input Output 1 16 8 6 6 18 11 [C] Input Output 16 1 9 6 6 7 6 80 [B] Input Output 1 16 8 6 6 11 18 [D] Input Output 1 16 1 8 8 6 6 11 Obj. 7 - Find a missing value in a ratio table 1. Seven beach balls cost $. Use the table to determine how many beach balls can be bought for $16. Beach Balls 7 1 1? Cost $ $8 $1 $16 $0 [A] [B] 8 [C] 8 [D]
Topic 1 - Ratios and Proportional Relationships 1. What is the missing value of y? [A] [B] 1 [C] [D] x y 6 9 1? 8 1 16 Obj. 8 - Determine the graph of the values in a ratio table 1. Which graph shows the same values as those in the ratio table? x 1 y 6 9 1 [A] y [B] y 1 1 1 1 10 10 8 8 6 6 0 6 8 10 1 1 x 0 6 8 10 1 1 x [C] y [D] y 1 1 1 1 10 10 8 8 6 6 0 6 8 10 1 1 x 0 6 8 10 1 1 x
Topic 1 - Ratios and Proportional Relationships 16. Which graph shows the same values as those in the ratio table? x 10 1 0 y 8 1 16 [A] y 0 18 16 1 1 10 8 6 0 6 8 10 1 1 16 18 0 x [B] y 0 18 16 1 1 10 8 6 0 6 8 10 1 1 16 18 0 x
Topic 1 - Ratios and Proportional Relationships [C] y 0 18 16 1 1 10 8 6 0 6 8 10 1 1 16 18 0 x [D] y 0 18 16 1 1 10 8 6 0 6 8 10 1 1 16 18 0 x (16.) 6
Topic 1 - Ratios and Proportional Relationships Obj. 9 - WP: Compare two ratios using tables 17. Andre and Kelly recorded the amounts of red and yellow paint they mixed to make orange paint. Whose paint has a greater ratio of red to yellow? Andre s Paint Mixture (oz) Kelly s Paint Mixture (oz) Red 10 1 0 Red 6 9 1 1 Yellow 8 1 16 0 Yellow 10 1 0 [A] Andre [B] Kelly [C] The ratios are the same. 18. Steve and Kristen kept a running total of how much water they used. Their results formed ratios presented in the tables below. Who used less water per day? Water Steve Used Water Kristen Used Number of Days 6 7 10 Number of Days 7 9 11 Gallons Used 6 78 91 10 Gallons Used 70 98 16 1 [A] Steve [B] Kristen [C] They used the same amount. 19. Mr. Hodges and Mrs. Malloy recorded the hours and distances they drove. Their results formed ratios presented in the tables below. On average, who drove faster? Mr. Hodges s Trip Time (hr) 1 7 9 Distance (mi) 16 7 8 9 Mrs. Malloy s Trip Time (hr) 6 8 10 Distance (mi) 110 0 0 0 0 [A] Mr. Hodges [B] Mrs. Malloy [C] They both drove the same speed. 7
Topic 1 - Ratios and Proportional Relationships 0. Two restaurants recorded how much cheese they used for each pizza sold. Their results formed ratios presented in the tables below. Which restaurant used more cheese per pizza? Cheese Used by Aaron s Pizza Kitchen Cheese Used (lb) 1 1 8 1 Pizzas Sold 6 8 60 Cheese Used by Grandma Bella s Italian Cafe Cheese Used (lb) 11 1 Pizzas Sold 0 0 60 80 [A] Aaron s Pizza Kitchen [C] They both used the same amount. [B] Grandma Bella s Italian Cafe 1. A scientist records the ratio of weight to water in strawberries and celery. Which food contains a higher ratio of water based on its weight? Water in Strawberries Amount of Water (mg) 18 68 88 Weight of Strawberry (mg) 00 00 600 900 Water in Celery Amount of Water (mg) 80 7 66 760 Weight of Celery (mg) 00 00 700 800 [A] strawberries [B] celery [C] They both have the same ratio of water to weight. 8
Topic 1 - Ratios and Proportional Relationships Obj. 10 - WP: Determine a unit rate with a whole number value. During a computer class, each student completed a typing exercise. Raven typed 8 words in 17 minutes. How many words per minute did Raven type? [A] 66 [B] 9 [C] 0 [D] 8. In May, Carmela did yard work for a total of hours. For all the hours Carmela worked, she earned $. How much money did Carmela make per hour doing yard work? [A] $7/hr [B] $16/hr [C] $9/hr [D] $6/hr Obj. 11 - WP: Determine a unit rate with a decimal value. During a study lasting days, a flock of chickens was fed 1.8 kg of feed. What was the average daily rate at which the flock was fed? [A] 0.9 kg/day [B] 1. kg/day [C] 0.8 kg/day [D] 1. kg/day. A 1-ounce can of store-brand tomato paste costs $1. at a supermarket. The unit price of the sauce is listed on the shelf below the cans. To the nearest tenth of a cent, what should the listing show as the unit price? [A] 11.1 /oz [B] 1.1 /oz [C] 1. /oz [D] 1.1 /oz Obj. 1 - WP: Use a unit rate with a whole number or whole cent value to solve a problem 6. Mei is at the store buying cheese. The cost of the cheese is $0.7 per ounce. She buys 10 ounces of the cheese. How much money does Mei spend on the cheese? [A] $.60 [B] $.70 [C] $7.0 [D] $7.0 7. At the supermarket, a certain brand of plain yogurt comes in three different sizes. The 6-ounce container of yogurt costs $0.60. The 16-ounce container of yogurt costs $1.60. The -ounce container of yogurt costs $0.10 per ounce. Which size costs the least amount per ounce? [A] oz [C] 16 oz [B] 6 oz [D] All three sizes cost the same amount per ounce. 9
Topic 1 - Ratios and Proportional Relationships Obj. 1 - Relate a percent of a quantity to a rate per 100 8. What is 0% of 10? Part Whole? 10 0 100 [A] 8 [B] 0 [C] [D] 9 9. The entire tape represents 6 units. 6 units 1% 100% Which expression represents the shaded part of the tape? [A] 100 1 6 [B] 6 1 [C] 1 10 6 [D] 1 100 6 Obj. 1 - WP: Determine a percent where a ratio, not in 100ths, is given 0. Joel surveyed his classmates on their favorite sports. He discovered that 1 out of every 0 classmates like softball the most. What percent of Joel s classmates like softball the most? [A] 00% [B] 0% [C] 1% [D] % 1. Mrs. Doyle asks her friends if they like country music. She discovers that out of of her friends like country music. What percent is this? [A] 7% [B] 8% [C] 80% [D] 70% Obj. 1 - WP: Relate a percent of a quantity to a rate per 100. Protein is % of the food energy in bananas. A serving of bananas has 00 units of energy. Which expression shows how many units of energy in bananas come from protein? [A] 00 [B] 00 100 [C] + 00 [D] 100 100 00 10
Topic 1 - Ratios and Proportional Relationships. In a sample of cells, 9% are plant cells. There are,000 cells in the sample. Which expression shows how many plant cells are in the sample? [A] 9 100,000 [B],000 100 9 [C] 9 +,000 [D],000 100. Jobs for salespeople are expected to increase by 17% from 010 to 00. There were,61,600 jobs for salespeople in 010. Which expression shows how many more jobs are expected by 00? [A] 17 +,61,600 [B] 17 100,61,600 [C],61,600 100 17 9 [D] 17,61,600 100. Petrov s kitchen counter is made of granite rock. The volume of his kitchen counter is 1, 000 cm. The granite used for the counter is 1% white mineral by volume. Which expression represents the total volume of white mineral in the kitchen counter? [A] F HG F HG I K J 1 1,000 cm [B] 100 I K J F HG b I K J 1 100 1,000 cm [C] 1 1,000 cm [D] 1 1,000 cm 100 6. Nikolai scored % of his team s points in a basketball game. His team scored a total of 0 points. Which expression shows how many points Nikolai scored? [A] 0 100 [B] 0 [C] g 100 0 [D] 0 100 Obj. 16 - Determine the percent less than 100% given a part and a whole 7. What percent of 0 is 18? [A] % [B] 0.% [C].% [D] 7.% 8. What percent of,10 is 1,68? [A] % [B] 0.% [C] % [D] 1% Obj. 17 - Determine the part given a whole and a percent less than 100% 9. What is % of 0? [A] 16 [B] 7 [C] 0.7 [D] 1.6 11
Topic 1 - Ratios and Proportional Relationships 0. What is % of 68? [A] 68.8 [B] 6.88 [C] 7.91 [D].688 Obj. 18 - Determine the whole given a part and a percent less than 100% 1. 6 is 0% of what number? [A] 1 [B] 60 [C] 6 [D]. 7% of what number is 87? [A] 8 [B] 16 [C] 116 [D] 6 Obj. 19 - Determine the part given a whole and a percent more than 100%. What is 190% of 0? [A] 8 [B] 9 [C] 100 [D] 10. What is 16% of 10? [A] 1,000 [B] 16 [C] 6 [D] 76 Obj. 0 - Determine the whole given a part and a percent more than 100%. is 10% of what number? [A] 160 [B] 16 [C] 6 [D] 16 6. 7 is 10% of what number? [A] 18 [B] 1 [C] 0 [D] 180 Obj. 1 - WP: Determine the percent less than 100% given a part and a whole 7. Last month a store sold 00 pairs of shoes. Of those shoes, 10 pairs were children s shoes. What percentage of the shoes sold last month were children s shoes? [A] 0% [B] 0% [C] % [D] 70% 8. A coffee shop sold 1,0 iced coffees in July. In all, the coffee shop sold 6,000 coffees that month. What percent of the coffees sold were iced? [A] % [B] 8% [C] % [D] 18% Obj. - WP: Determine the part given a whole and a percent less than 100% 9. Tanay is planning to buy a computer that costs $70 at an electronics store. If he buys it online, he will save 1%. How much will he save if he buys the computer online? [A] $108 [B] $61 [C] $70 [D] $98 1
Topic 1 - Ratios and Proportional Relationships 0. Science is the favorite subject of 77% of students at a school. There are 600 students at the school. How many of them like science best? [A],60 [B] 6 [C] 78 [D] 779 Obj. - WP: Determine the whole given a part and a percent less than 100% 1. A fun run has 16 male runners. The male runners make up % of all the runners in the fun run. How many people are running in the fun run? [A] 7 [B] 87 [C] [D] 00. Ellie plants peas and tomatoes in her garden. Of the plants in the garden, 6% are pea plants. If she plants 1 pea plants, how many total plants are in the garden? [A] 00 [B] 1 [C] [D] 8 Obj. - WP: Determine the percent less than 100% given two parts of a whole. A clothing store manager is comparing weekend and weekday sales. In the last week, the store sold $,08 worth of clothing on the weekdays. The store sold $,9 worth of clothing over the weekend. What percent of the clothing was sold over the weekend? [A] 9% [B] 9% [C] 96% [D] 1%. A bakery sold 1,0 loaves of whole wheat bread in January. The bakery also sold,680 loaves of other kinds of bread that month. What percent of the loaves sold were whole wheat? [A] 18% [B] 8% [C] % [D] 8% Obj. - WP: Determine the whole given a part and a percent more than 100%. A brand of laundry soap is packaged in a new bottle. The new label claims to have 110% as much as the old bottle. The new bottle contains 11 ounces of soap. How much soap was in the old bottle? [A] 1 oz [B] 1,10 oz [C] 1 oz [D] 110 oz 1
Topic 1 - Ratios and Proportional Relationships 6. The population of a city today is 0,100 people. This is 110% of the population years ago. How many people lived in the city years ago? [A] 91,000 [B],1,100 [C],110 [D],910,000 7. A newspaper article predicts that the price of dairy products will rise 110% in one year. The article says the price of a certain dairy product will be $.7. What is the current price? [A] $0.8 [B] $.0 [C] $0. [D] $.0 8. The goal for this year s softball team fund-raiser is 10% of last year s goal. If this year s goal is $,000, what was last year s goal? [A] $,600 [B] $0,000 [C] $600 [D] $,00 9. This year the attendance at a science fair was up 0% from last year. If the attendance this year was 8,610 people, what was it last year? [A] [B],00 [C] 17,61 [D],10 Obj. 6 - Convert measurement units using ratios 60. There are about.8 L in 1 gallon. About how many gallons equal 1 L? [A] gal [B] 0 gal [C],780 gal [D] 78 gal 61. There are 18 ounces in 1 gallon. How many ounces equal 1 gallons? [A] 1,66 oz [B] 1 oz [C] oz [D] 1,61 oz Obj. 7 - WP: Solve a problem involving measurement conversion 6. Mr. Martin is planning a cycling vacation overseas. He has a map that gives distances in kilometers. Mr. Martin wants to know how far it is between two towns in miles. The map shows the distance as 10 km. To the nearest tenth of a mile, what is the distance between the towns? (Ten km is about 6. miles.) [A].0 mi [B] 167.7 mi [C] 6. mi [D] 6.8 mi 1
Topic 1 - Ratios and Proportional Relationships 6. Mr. Bowen has a -year-old son who is 9 inches tall. Mr. Bowen wants to see if his son s height is above or below average. He has a table of average heights for children. The table shows the average height for a boy of that age is 9. cm. How many centimeters taller is Mr. Bowen s son than the average? (One inch is about. cm.) [A] 6 cm [B] 10 cm [C] cm [D] cm 6. Mrs. Cornsilk is planning a vacation overseas. She knows that fuel is sold in liters in other countries. She wants to become familiar with this measure of volume. Mrs. Cornsilk just purchased 10 gallons of fuel for her car. About how many liters is this? (One gallon is about.8 L.) [A].6 L [B] 8 L [C] 110 L [D] 6. L 6. Peter s dog weighs 8 pounds. The veterinarian says this breed of dog typically weighs about 1 kg. How many kilograms is Peter s dog above the typical weight? (One kg is about. lbs.) [A]. kg [B] 16. kg [C]. kg [D].0 kg 66. A school has a new flag that must be flown at least feet high. The current flagpole is 1. m tall. How many meters taller does the new flagpole need to be? Round to the nearest tenth. (One meter is about.8 feet.) [A].0 m [B] 1.1 m [C] 6. m [D].0 m Obj. 8 - Convert a rate from one unit to another with a change in one unit 67. Convert 0 inches per second to feet per second. [A] 8 ft sec [B] 08. ft sec [C] 0. ft sec [D]. ft sec 68. Convert 19 inches per minute to inches per second. [A] 19. in. sec [B]. 6 in. sec [C] 19. in. sec [D] 6. in. sec Obj. 9 - Convert a rate from one unit to another with a change in both units 69. Convert 19 kg m to grams per centimeter bg cmg. [A] 19, 00 g cm [B] 19. g cm [C] 19 g cm [D] 1, 90 g cm 1
Topic 1 - Ratios and Proportional Relationships b 70. Convert 1 ft s to miles per hour mphg. Round the answer to the nearest tenth, if necessary. [A]. mph [B] 1.1 mph [C],78 mph [D] 0. mph 16
Topic - The Number System Obj. 0 - Divide a multi-digit whole number by multiples of 100 or 1,000 1., 000 00 = [A] 70,00 [B] 69 [C] 70 [D] 6,90. 68, 00 6, 000 = [A] 68 R00 [B] 78 R00 [C] 780 R0 [D] 7 R00 Obj. 1 - Divide a multi-digit whole number of up to seven digits by a - or -digit whole number. 16 198,76 [A] 619 [B] 99 [C] 6 [D] 69. 8,0,90,897 [A] R1 [B] R [C] R [D] R Obj. - Determine the multiplication expression involving rational numbers that is equivalent to a given division expression. Which expression is equal to 1 [A] 1 [B] 1 1? 6. Which expression is equal to? 10 6 [A] 10 [B] 6 [C] 1 1 10 Obj. - Divide a fraction by a fraction 6 [C] 1 [D] 1 [D] 10 6 1 1 6 10 7. = [A] 8 9 [B] 1 [C] [D] 1 1 8 (Simplify the answer if possible.) 17
Topic - The Number System 8. 7 = 8 [A] 1 16 [B] 16 1 [C] 8 [D] 7 1 (Simplify the answer if possible.) Obj. - WP: Divide a fraction by a fraction 9. Cyrus is making scrapbooks for friends. He wants to decorate each scrapbook with 1 6 yard of ribbon. He has a spool with yard of ribbon left on it. He plans to use all of the ribbon on the spool. How many scrapbooks can Cyrus decorate? [A] [B] [C] [D] 7 10. When he wants to go downtown, Mr. Bonnet catches the city bus. He goes 1 10 mile in his wheelchair to travel to the bus stop. Last month, he traveled a total of mile to the bus stop. How many times did he catch the bus last month? [A] 6 [B] 7 [C] 8 [D] 11. Damon is setting up a relay race around the perimeter of a park. The perimeter of the park is 1 1 mile. He wants to place a marker every mile along the course. How many markers 10 will he place along the course? [A] [B] [C] [D] 1 1. Ms. Yu makes control units for electric wheelchairs. Each unit uses a computer chip inch long. At her work station, Ms. Yu has a row of chips inch long. How many 16 control units can she make? [A] [B] [C] 1 [D] 18
Topic - The Number System 1. For breakfast, Ranana adds 8 cup of blackberries to her cereal. She has cup of blackberries in her fridge. How many days can she have breakfast before she runs out of blackberries? [A] 1 [B] [C] [D] 6 Obj. - Add two or more decimal numbers of differing places to thousandths 1.. 01+ 6. = [A].7 [B].07 [C].07 [D] 9.901 1. 9. +. [A] 9.769 [B] 10.669 [C] 9.669 [D] 10.69 16. 8. 887. 7 + 6. [A] 1,988.09 [B] 997.77 [C] 987.77 [D] 998.77 Obj. 6 - Subtract two decimal numbers of differing places to thousandths 17. 8. 91. 8 = [A] 9.791 [B] 0.91 [C] 79.11 [D] 8.6 18. 9. 0 80. [A] 1.8 [B] 1.8 [C] 1.8 [D] 1.9 Obj. 7 - Multiply two decimal numbers through thousandths 19. 0. 90 0. 7 0. 0. 08 0.00 1. 0. 00 96. [A] 0.08 [B].08 [C].08 [D] 0.08 [A] 0.00016 [B] 0.16 [C] 16 [D] 0.016 [A] 0.98 [B] 0.0098 [C].98 [D] 0.098 19
Topic - The Number System. 0. 1 01. = [A] 0.10 [B] 0.009 [C] 1.0 [D] 0.09.. 09 18. = [A] 0.76 [B].76 [C] 188.1 [D] 1.881 Obj. 8 - Divide a whole number or a decimal number through ten thousandths by 0.001. 79 0. 001= [A] 79,000 [B] 7,90,000 [C] 79 [D] 79,00. 818. 0. 001= [A] 818 [B] 8,180 [C] 81,800 [D] 0.818 6. 0. 001. 88 [A],88 [B] 8.8 [C],880 [D] 0.88 Obj. 9 - Divide a 1- to -digit whole number by a decimal number resulting in a quotient that contains thousandths or ten thousandths 7. 7. = [A].187 [B].87 [C] 1.87 [D].87 8. 81 16. = [A] 96. [B] 9.6 [C] 06. [D] 0.6 9. 6. 90 [A] 10.6 [B] 1.06 [C] 0.0711 [D] 0.00711 Obj. 0 - Divide a decimal number through ten thousandths by a 1- or -digit whole number or a decimal number through hundredths 0. 07. 0. 09 = [A] 6.08 [B] 608 [C] 6.088 [D] 0.6088 1. 0. 06 17 = [A] 0.18 [B] 0.007 [C] 0.07 [D] 0.018. 0. 7 6. 9886 (Round the quotient to the nearest thousandth, if necessary.) [A] 0.79 [B] 1.869 [C] 1.768 [D] 1.89. 8 8. 99 (Round the quotient to the nearest thousandth, if necessary.) [A] 1.008 [B] 0.117 [C] 0.107 [D] 10.017 0
Topic - The Number System Obj. 1 - Find the greatest common factor of two whole numbers less than or equal to 100. What is the greatest common factor of and 8? [A] [B] 1 [C] 6 [D] 16. What is the greatest common factor of 99 and 66? [A] 11 [B] [C] [D] 6 Obj. - Find the least common multiple of two whole numbers less than or equal to 1 6. What is the least common multiple of and 6? [A] [B] 60 [C] [D] 0 7. What is the least common multiple of 11 and 8? [A] 88 [B] 77 [C] 176 [D] 80 Obj. - Apply the distributive property to determine an equivalent expression 8. 1 + 18 = [A] 9 + 7 9. 6+ 8 = [A] 7 9 + b g [B] b7 + 9g [C] b + 9g [D] 7b + 9g b g [B] b7 + 9g [C] 7b7 + g [D] 9b7 + g Obj. - WP: Represent a quantity using a positive or negative number 0. A hotel has 1 floors above ground level and floors below ground level. The elevator stops 8 floors above ground level. What number represents this if the ground level is considered to be 0? [A] 8 [B] 8 [C] 16 [D] 16 1. Hina digs a hole 8 inches deep in her garden. The height of the surface of the garden is represented by 0. What number represents the location of the bottom of the hole to the surface? [A] [B] 8 [C] 16 [D] 8 1
Topic - The Number System. The Dead Sea is 1,88 feet below sea level. Sea level is considered to be 0 feet. What number represents this height in feet of the Dead Sea? [A] 1,88 [B],776 [C],776 [D] 1,88. Marcus opens a lemonade stand. The day is unexpectedly cold and rainy. Marcus loses $0. What amount shows this? [A] $0 [B] $1 [C] $0 [D] $60. The maximum temperature on Mercury is 6 C above 0. Which temperature correctly represents this? [A] 90 C [B] 6 C [C] 90 C [D] 6 C Obj. - Identify or locate an integer on a number line. What integer is represented by the point on the number line? 10 10 0 [A] 8 [B] 8 [C] 7 [D] 7 6. Which letter represents the integer? n m p q 10 0 10 [A] p [B] n [C] m [D] q Obj. 6 - Identify a positive or negative rational number represented by a point on a number line 7. Which number is represented by the plotted point on the number line? 1 1 0 [A] 0 [B] 1 [C] 1 [D]
Topic - The Number System 8. Which number is represented by the plotted point on the number line? 1 1 0 [A] 1. [B]. [C]. [D] 1. Obj. 7 - Determine the opposite of an integer given a number line 9. The number line shows a point at. 10 0 10 One of the numbers lines below shows a point at the opposite of. Which number line is it? [A] [B] [C] 10 0 10 10 0 10 10 0 10 0. The number line shows a point at 11. Find its opposite on the number line. What number is it? 0 10 0 10 0 [A] 1 [B] 11 [C] 11
Topic - The Number System Obj. 8 - Determine the location of a rational number on a horizontal or vertical number line 1. One of the number lines shows a point representing 1. Which number line is it? [A] [B] [C] [D] 1 1 0 1 1 0 1 1 0 1 1 0. One of the number lines shows a point that represents 1.1. Which number line is it? [A] [B] [C] 1 1 1 0 0 0 1 1 1
Topic - The Number System Obj. 9 - Determine the location of an ordered pair in any quadrant. One of the points has the coordinates b, g. Which point is it? y B 1 A 1 1 1 x C D [A] A [B] B [C] C [D] D
Topic - The Number System. One of the points has the coordinates b, g. Which point is it? y S T 1 1 1 1 x U R [A] R [B] S [C] T [D] U Obj. 0 - Relate the locations of two ordered pairs that differ only by signs. What transformation moves point 7, 9 [A] A reflection over the x-axis. b g to b 7, 9g? [C] A reflection over both the x-axis and the y-axis. [B] A reflection over the y-axis. 6
Topic - The Number System 6. All the points graphed below are the same distance from the x- and y-axes. The coordinates of point H are 1, 1 G b g. Which point has the coordinates b, g? y F x I H [A] G [B] F [C] I Obj. 1 - Identify the quadrant for an ordered pair 7. In which quadrant is the point b, 6 g? [A] Quadrant I [B] Quadrant II [C] Quadrant III [D] Quadrant IV 8. In which quadrant is the point b 7, 1 g? [A] Quadrant I [B] Quadrant II [C] Quadrant III [D] Quadrant IV 7
Topic - The Number System Obj. - Determine the ordered pair of a point in any quadrant 9. What is the ordered pair for point C? y 1 1 1 1 C x [A], b g [B] b, g [C] b, g [D] b, g 8
Topic - The Number System 60. What is the ordered pair for point B? y 1 1 1 1 x B [A], b g [B] b, g [C] b, g [D] b, g Obj. - Compare two integers 61. Which statement is true? [A] 10 > 8 [B] 8 < 6 [C] 10 > 6 6. Which statement is true? [A] 98 > 6 [B] 98 > 7 [C] 7 < 6 Obj. - Order positive and negative integers 6. Which list is ordered from greatest to least? [A], 7, 1, 19 [B], 7, 19, 1 [C], 1, 7, 19 [D] 19, 1, 7, 6. Which list is ordered from greatest to least? [A] 10, 7,, [B] 10,, 7, [C], 7, 10, [D], 7,, 10 9
Topic - The Number System Obj. - Relate a statement of inequality to the relative positions of two rational numbers on a number line 6. One of the number lines correctly shows 17. < 1. Which number line is it? [A] 0 1 1.7 [B] 0 [C] 0 1.7 1 1 1.7 [D] 0 1.7 1 66. One of the number lines correctly shows 1 >.. Which number line is it? [A] 0. 1 [B] 0. 1 [C] 0 1. [D] 0 1. 0
Topic - The Number System Obj. 6 - Compare positive and negative rational numbers 67. Which statement is true? [A]. > 0. [B] 0. <. [C]. <. 68. Which statement is true? [A]. 1 < [B]. Obj. 7 - Order positive and negative rational numbers 69. Which list of numbers is in order from least to greatest? [A].8, 1.6, 1.1,.6 [B] 1.6, 1.1,.6,.8 [C].6, 1.1, 1.6,.8 [D].8,.6, 1.6, 1.1 70. Which list of numbers is in order from greatest to least? 1 > [C]. [A] 1 1.,,, 1 [B] 1 1 7 8 8, 7,, 1. [C] 1 1 8 7 1,,., [D] 1.,, 1, 1 7 8 Obj. 8 - WP: Determine a statement of order for rational numbers in context 1 = 71. A newspaper reported temperatures in four cities. Which list shows these cities in order from the coldest temperature to the warmest temperature? Minneapolis 1 F Anchorage 6 F Philadelphia F Denver 9 F [A] Philadelphia, Anchorage, Denver, Minneapolis [B] Minneapolis, Denver, Anchorage, Philadelphia [C] Minneapolis, Anchorage, Denver, Philadelphia [D] Denver, Anchorage, Minneapolis, Philadelphia 1
Topic - The Number System 7. While scuba diving, Mr. McGregor found some rare coins. They were feet underwater. The next week, he found more coins feet underwater. Which comparison between the depths of the coins is true? [A] < [B] > [C] = 7. A Mars rover digs a hole inches below the surface of Mars. The rover takes a sample from the bottom of the hole. The rover digs down more inches and takes a second sample. Which comparison between the depths of the samples is true? [A] < 9 [B] > 9 [C] = 9 7. A ladder in a manhole has 17 rungs below the surface of the street. Mr. Jalili stops on the 1th rung from the surface. Mr. Salgado stops on the th rung from the surface. Which statement correctly compares their locations in the manhole? [A] 1 < [B] 1 > [C] 1 = 7. A school provides an expense account for each school club. The French club s account has a balance of $8.7. The glee club s account has a balance of $.7. The chess club s account has a balance of $.00. Which list shows the clubs in order of their balances from least to greatest? [A] glee, French, chess [B] French, glee, chess [C] chess, glee, French
Topic - The Number System Obj. 9 - Interpret a statement of order for rational numbers using context 76. Five locations and their elevations are shown in the table below. Which statement is true? Location Elevation (m) Lake Assal 1 Death Valley 86 Salton Sea 69 Lake Eyre 1 Lake Champlain 9 [A] Lake Assal is higher than the Salton Sea. [B] Lake Assal is higher than Death Valley. [C] Lake Champlain is lower than the Salton Sea. [D] The Salton Sea is lower than Lake Eyre. 77. The table below shows the low temperature in five cities on a winter day. Which statement is true? City Windsor Gilroy Billings Burley Hibbing Temperature ( C) 9. 0. 0 6. 6. 9 17. 8 [A] It is colder in Burley than in Gilroy. [C] It is warmer in Billings than in Gilroy. [D] It is colder in Burley than in Hibbing. [B] It is warmer in Gilroy than in Windsor.
Topic - The Number System Obj. 60 - Determine the absolute value of a rational number shown on a number line 78. What is the absolute value of the point shown on the number line? 0 10 0 10 0 [A] 1 [B] 19 [C] 1 [D] 19 79. What is the absolute value of the point shown on the number line? 1 1 0 [A] 1 [B] 1 [C] 1 [D] 1 Obj. 61 - WP: Solve a problem using absolute value to describe magnitude 80. Long ago, many volcanic eruptions in the ocean made an island. It was,00 m above sea level. After years of erosion, it sank to 00 m below sea level. Which expression represents the difference in elevations? [A],00 + 00 [B],00 00 [C] 00,00 [D],00 00 81. Bena had $7 in her checking account. A month later, her checking account balance was $. Which expression represents the difference between the two checking account balances? [A] 7 [B] 7 [C] 7 [D] 7 + 8. A plane takes off at 60 degrees latitude. It flies directly south and lands at 1 degrees latitude. Which expression represents the difference in latitude? [A] 60 + 1 [B] 60 1 [C] 1 60 [D] 60 1
Topic - The Number System 8. Lauren woke up one morning and saw frost on the windows. It was 8 C outside. Later in the day, the frost melted. At p.m. it was 1 C outside. Which expression represents the difference between the two temperatures? [A] 8 1 [B] 1 8 [C] 1 8 [D] 1 8 8. Alexandra and Tamir applied to the same college. They looked up the average SAT score of students admitted to that college. Alexandra s SAT score was 10 points above the average score. Tamir s SAT score was 0 points below the average score. Which expression represents the difference in their scores? [A] 10 0 [B] 10 0 [C] 10 0 [D] 0 10 Obj. 6 - Solve a problem by graphing points in all four quadrants 8. Point A is located at., 1. between point A and point B? y 1 b g. Point B is located at b., 0. g. What is the distance 1 1 1 x [A] 1 unit [B]. units [C] units [D] 6 units
Topic - The Number System F HG 86. Point A is located at 1,. Point B is located at, between point A and point B? y 1 I K J F HG I K J. What is the distance 1 1 1 x [A] 7 units [B] units [C] 1 unit [D] 1 unit 6
Topic - Expressions and Equations Obj. 6 - Determine the exponential notation that represents a repeated multiplication 1. Which expression is equivalent to? [A] [B] [C] [D]. Which expression is equivalent to? [A] 9 [B] 8 [C] 8 [D] 8 Obj. 6 - Evaluate a whole number raised to a whole-number exponent. = [A] 6 [B] 6 [C] 1,0 [D] 0. 10 = [A] 100 [B] 1 [C] 10 [D] 1,000 Obj. 6 - Determine an exponential form of a whole number. 1, 96 = [A] 6 [B] 6 [C] 6 [D] 6 6. 16 = [A] [B] [C] [D] 8 Obj. 66 - Use a numerical expression involving whole-number exponents to represent a multiplication expression 7. Which expression is the same as 10, 000? [A] 10 [B] 10 [C] 10 b g [D] 10 8. Which expression represents the area of a square with a side length of 6? [A] 6 [B] 6 [C] 6 [D] 6+ 6+ 6+ 6 7
Topic - Expressions and Equations Obj. 67 - Evaluate a numerical expression with parentheses and exponents, using order of operations 9. F0 + 1 = HG I K J b g [A] 18 [B] 1 [C] 0 [D] 10. b + g 10 = [A] 998 [B] 18 [C] 198 [D] 11. b1+ g 0 8 = [A] 79 [B] 96 [C] [D] 11 Obj. 68 - Identify parts of an expression using mathematical terms 1. Which word could be used to describe 9x in the following expression? 9x + [A] product [B] sum [C] coefficient [D] quotient 1. Which part of the expression is a term? x + 7 [A] + [B] x + 7 [C] 7 [D] x Obj. 69 - Use an algebraic expression with one operation to represent a verbal expression 1. Which expression means the same as 10 less than a number? [A] c +10 [B] c 10 [C] 10c [D] c 10 1. Which expression means the same as a number multiplied by? [A] n + [B] n [C] n [D] n Obj. 70 - Use an algebraic expression with two operations to represent a verbal expression 16. Which expression means add 7 to times a number y? [A] y 7 [B] y + 7 [C] 7y [D] y 7 8
Topic - Expressions and Equations 17. Which expression means 8 divided by a number y and then increased by? [A] y + [B] 8 y + 8 [C] 8 y + [D] 8 y + Obj. 71 - Evaluate an algebraic expression with one variable and two or three operations, using whole-number substitution 18. What is the value of y + 6 if y = 1? [A] 1 [B] 9 [C] 1 [D] 9 1 19. Evaluate 9 10x 7 b g when x =. [A] 6 [B] [C] [D] Obj. 7 - Evaluate an algebraic expression with two variables and two or three operations, using whole-number substitution 0. Evaluate the expression p + q for p = 6 and q =. [A] 6 [B] 9 [C] 8 [D] 7 1. Evaluate the expression ab 7 for a = 60 and b = 17. 10 [A] 9 [B] 96 [C] 101 10 [D] 10 Obj. 7 - Evaluate an algebraic expression involving whole-number exponents. Evaluate: 6x + if x = [A] 1,00 [B] 1,87 [C] 7 [D] 87. Evaluate: bx g if x = 6 and y = [A] [B] 1,0 [C] [D] 6 y 9
Topic - Expressions and Equations Obj. 7 - WP: Evaluate an algebraic expression or formula with one or two variables involving whole numbers. At a farmer s market, a customer buys some mushrooms and a cloth bag. The expression + p shows the cost for the bag and p pounds of mushrooms. How much does the customer pay for the bag and pounds of mushrooms? [A] $16 [B] $1 [C] $1 [D] $1. Lauren s school is having a concert. Lauren sold 8 student tickets and 1 adult tickets. The expression s + 8a represents the cost of s student tickets and a adult tickets. What is the total cost of the tickets that Lauren sold? [A] $ [B] $1 [C] $96 [D] $1 6. Jamie s grandmother is helping him save money. For every $6 he saves, his grandmother s gives him $1. The equation t = + s represents the total amount of money Jamie has. The 6 variable s represents the number of dollars he has saved. If Jamie saves $, how much money does he have in all? [A] $7 [B] $8 [C] $6 [D] $60 0
Topic - Expressions and Equations Obj. 7 - WP: Generate a table of paired numbers based on an algebraic expression with two operations 7. A bucket containing 18 ounces of water is placed under a leaky faucet. Every hour the faucet leaks ounces of water. The amount of water in the bucket is given by the expression t + 18. In the expression, t is the time since the bucket was placed under the faucet. Which table shows how much water is in the bucket? [A] Time (hr) Amount of Water t in Bucket (oz) 7 0 6 6 [B] Time (hr) Amount of Water t in Bucket (oz) 6 7 [C] Time (hr) Amount of Water t in Bucket (oz) 7 1 6 7 [D] Time (hr) Amount of Water t in Bucket (oz) 7 7 9 6 111 1
Topic - Expressions and Equations 8. A new tube of toothpaste contains 6. ounces of toothpaste. Each week Kendra uses 0. ounces to brush her teeth. The expression 6. 0. w gives the amount of toothpaste left in the tube. In the expression, w is the number of weeks since Kendra started the tube of toothpaste. Which table shows the amount of toothpaste left in the tube? [A] Number of Toothpaste Left Weeks, w in Tube (oz)..9. 6.9 [B] Number of Toothpaste Left Weeks, w in Tube (oz).7..7 6. [C] Number of Toothpaste Left Weeks, w in Tube (oz).9..9 6. [D] Number of Toothpaste Left Weeks, w in Tube (oz) 7.9 7. 6.9 6 6. Obj. 76 - WP: Evaluate an algebraic expression involving exponents 9. A pebble falls off of a cliff from a height of 7 m. The pebble s height t seconds after it starts falling can be estimated by 7. 9t. How high is the pebble seconds after it starts to fall? [A] 8 m [B] 6. m [C] 07. m [D] 1 m 0. An open-topped storage bin has a square base. The bin s frame is covered with canvas. The formula for the amount of canvas needed to cover the frame is A = s + sh. In the formula, s is the width and h is the height of the bin. One bin is 10 inches wide and has a height of 1 inches. How much fabric is needed to cover the bin? [A] 00 in [B] 1 00, in [C] 70 in [D] 80 in
Topic - Expressions and Equations 1. A child s wading pool is in the shape of a cylinder. It has a height equal to one-third of its radius. The most water the pool can hold is given by the formula V = 10. r. In the formula, r is the radius of the pool. How much water can a pool with a -foot radius hold? [A] 8. ft [B]. ft [C] 18. ft [D] 6. ft Obj. 77 - Identify equivalent algebraic expressions. Which expression is equivalent to 6 + 8x 1? [A] 7 8x [B] 1x [C] 8x [D] + 8x. Which expression is equivalent to 0x +? b g [B] 7x [C] 7 [A] 6 x + 7 Obj. 78 - Determine solutions to a 1-variable linear inequality. Which list shows three solutions to the inequality x 6? x + [D] 7 x + 6 [A] 7, 11, 1 [B] 7, 8, 11 [C] 11, 1, 17 [D] 8, 11, 1. Which list shows three solutions to the inequality 7x 77? [A] 11, 1, 16 [B] 7, 11, 16 [C] 8, 11, 1 [D] 7, 8, 11 Obj. 79 - WP: Use an algebraic expression with one variable and one operation to represent a situation 6. It cost $ to rent a bike for n days. Which expression represents the cost for one day? [A] n $ [B] $ n [C] $ n [D] n + $ 7. Nico is t inches tall. Aksana is 7 inches taller than Nico. Which expression represents Aksana s height in inches? [A] t + 7 [B] t 7 [C] t 7 b [D] t 7 g
Topic - Expressions and Equations Obj. 80 - WP: Use an algebraic expression with one variable and two operations to represent a situation 8. A local pizza parlor charges $1. for a large cheese pizza. Each additional topping adds $0.8 to the price of the pizza. Which expression represents the cost of a large cheese pizza with n additional toppings? [A] 1. + 08. n [B] 1. n + 0. 8 [C] 1. 08. n [D] 1. 08. n 9. A worker plants flowers and trees in a park. She plants times as many flowers as trees in one area. In another area, she plants 60 more flowers. If the worker plants t trees, which expression represents the number of flowers she plants? [A] 60t + [B] 60 t [C] 60t [D] t + 60 Obj. 81 - Solve a 1-step equation involving whole numbers 0. Solve: x + = [A] x = 8 [B] x = 17 [C] x = 18 [D] x = 7 1. Solve: z = 8 [A] z = 1 [B] z = 0 [C] z = 9 [D] z = Obj. 8 - Solve a 1-step equation involving fractions. Solve: z = 6 1 1 [A] z = 1 1 [B] z = 1 7 10 [C] z = 6 [D] z = 1 0. Solve: 9 q 6 = [A] q = 7 9 9 [B] q = 11 [C] q = 1 [D] q = 81 Obj. 8 - WP: Use a 1-variable 1-step equation to represent a situation. Erik gave 176 water balloons to the people who came to a summer party. Each person received 11 balloons. Which equation can be used to find n, the number of people at the party? [A] 11 = n 11 11 [B] n 11 = 176 [C] 11n = 176 [D] 176 = n
Topic - Expressions and Equations. The temperature in a town reached 9 F by p.m. The temperature had been 1 F at noon that same day. Which equation can be used to find T, the change in temperature from noon to p.m.? [A] 9T = 1 [B] T 1 = 9 [C] 1T = 9 [D] 1+ T = 9 Obj. 8 - WP: Solve a 1-step equation involving positive rational numbers 6. A ski lift travels to an altitude of 1,09 feet. This is 11 times the height of the ski lift s loading zone. Find the height of the ski lift s loading zone, x, by solving the equation 11 x = 1, 09. [A],800 ft [B] 1,09 ft [C] 7 ft [D],77 ft 7. Carly receives a paycheck of $.0 for two weeks of work. She earned $101. in one of those weeks. Find the amount Carly earned in the second week using x + 101. = 0.. [A] $109.08 [B] $18.08 [C] $.9 [D] $1.08 8. Liam and Antonio are competing in a hand-pedaled bike race. Liam travels at a speed of 19 miles per hour. This is of the speed that Antonio travels. Find Antonio s speed, x, using x = 19. [A] mph [B] 18 1 mph [C] 11 mph [D] 19 mph 9. A soccer team was raising money for new uniforms. They made $9 from a car wash. The team also raised money by having a bake sale. In all, the team made $80.7. Find the amount the team made at the bake sale, x, by solving the equation 9 + x = 807.. [A] $697.7 [B] $11.7 [C] $1009.7 [D] $80.7 0. Mr. Abad is organizing a field trip to the art museum for his class. He buys tickets and spends a total of $00. Find the price per ticket, x, by solving the equation x = 00. [A] $0.0 [B] $.00 [C] $1.0 [D] $6.0
Topic - Expressions and Equations Obj. 8 - WP: Write an inequality of the form x > c or x < c to represent a constraint or condition 1. The speed limit on a highway is miles per hour. Which inequality shows the speed s that cars should drive on the highway? [A] s = [B] s > [C] s [D] s. A ferry is used to carry people across a large river. The ferry holds at most passengers. Which inequality shows this using p for passengers? [A] p = [B] p [C] p = [D] p. There are more than 1,00 species of fireflies. Which inequality shows this using s for species? [A] s > 100, [B] s 100, [C] s = 100, [D] s < 100,. A doctor recommends that adult women drink at least. L of water per day. Which inequality shows this using w for liters of water? [A] w =. [B] w. [C] w. [D] w >.. A midsized car can hold up to 18. gallons of fuel. Which inequality shows this using g for the amount of fuel the car can hold? [A] g < 18. [B] g 18. [C] g = 18. [D] g 18. Obj. 86 - Represent the solution of an inequality on a number line 6. Which number line shows the graph of x < 7? [A] 10 0 10 [B] 10 0 10 [C] 10 0 10 [D] 10 0 10 6
Topic - Expressions and Equations 7. Which number line shows the graph of x > 7? [A] 10 0 10 [B] 10 0 10 [C] 10 0 10 [D] 10 0 10 Obj. 87 - Relate coordinates to a graph and a table 8. The table and graph show the rate at which a bathtub fills. The table and graph represent the same ratio. What are the coordinates of the point labeled x, y? b g Time (min) Depth (in.) 10 1 6 6 1 + b g, + + bx, yg + b + g 1, 6 + [A] 10, 1 6 7 8 9 10 11 1 1 1 1 Time (min) b g [B] b10, g [C] b9, g 7
Topic - Expressions and Equations 9. The table and graph show the rate at which a lava flow moves. The table and graph represent the same ratio. How many kilometers will the lava flow in 1 hour? Time (hr) Distance (km) 1 y 6 6 b g, b, 6 +1 g + b1, yg +1 + 1 +1 + 1 Time (hr) [A] km [B] km [C] 6 km Obj. 88 - Determine the algebraic expression with one operation for a table of paired numbers 60. Which expression can be used to find the output numbers in the table? Input b pg Output 11 66 1 7 1 78 1 8 [A] p [B] p 6 [C] 6p [D] p + 8
Topic - Expressions and Equations 61. Which expression can be used to find the output numbers in the table? Input bmg Output 17 1 18 19 0 [A] m + [B] m [C] m [D] m Obj. 89 - Determine the graph of a 1-operation linear function 6. One of the graphs below represents solutions of the equation y = x +. Which graph is it? [A] y 1 1 1 1 x 9
Topic - Expressions and Equations [B] y 1 1 1 1 x [C] y 1 1 1 1 x 0
Topic - Expressions and Equations [D] y 1 1 1 1 x (6.) 6. One of the graphs below represents solutions of the equation y x =. Which graph is it? [A] y 1 1 1 1 x 1
Topic - Expressions and Equations [B] y 1 1 1 1 x [C] y 1 1 1 1 x
Topic - Expressions and Equations [D] y 1 1 1 1 x (6.) Obj. 90 - WP: Identify an algebraic equation with one operation for a table of paired numbers 6. An office supply store sells computer printers. Customers can use a coupon to pay less for certain brands of printers. The table below shows the price charged for four printers of that brand. The total cost after coupon is also recorded. Printer Price, Total Cost, c p $ $ 79 $ 109 $ 18 $ $ 70 $ 100 $ 119 Which equation expresses the total cost, c, in terms of printer price, p? [A] c = p [B] c = p 9 [C] c = p + 9 [D] c = 9 p 6. A softball team is using a pitching machine for batting practice. The table shows the number of pitches the machine makes over time. Number of Minutes, Number of Pitches, m p 6 9 1 18 6 7 Which equation expresses the number of pitches the machine makes in m minutes? m [A] p = m + 6 [B] p = 7 + m [C] p = [D] p = 6m 6
Topic - Expressions and Equations Obj. 91 - WP: Use an algebraic equation to express one quantity in terms of another 66. A softball team has a cooler of water at a game. All the water will be divided evenly among the 16 players at the game. Which equation expresses each player s share, s, in terms of the total amount of water, t? [A] s = 16 [B] t t s = 16 [C] t = 16 [D] s s t = 16 67. Damien is riding in a bike-a-thon to raise money for his school. He will raise $6 for every mile he rides. The total amount of money Damien will raise in dollars is represented by t. The number of miles he rides is represented by n. Which equation expresses t in terms of n? [A] t = 6 n [B] t = n + 6 [C] n = t + 6 [D] n = 6t 68. Mr. Tran has worked at a company 7 years longer than Ms. Sequoyah. The number of years Mr. Tran has worked for the company is represented by y. The number of years Ms. Sequoyah has worked for the company is represented by x. Which equation expresses y in terms of x? [A] y = x + 7 [B] x = y + 7 [C] x = 7 y [D] y = x 7 69. Fadi is years younger than his sister. Let y represent Fadi s age and x represent his sister s age. Which equation expresses y in terms of x? [A] x = y [B] y = x [C] x = y [D] y = x
Topic - Geometry Obj. 9 - Determine the area of a triangle 1. What is the area of the triangle? 18 ft ft 16 ft (Not drawn to scale) [A] 1 ft [B] 0 ft [C] ft [D] 9. What is the area of a triangle with a base of 18 m and a height of 1 m? [A] 69 m [B] 78 m [C] 77 Obj. 9 - Determine the area of a parallelogram. What is the area of the parallelogram? yd ft m [D] 18. m yd 0 yd [A] 60 yd [B] 79 yd [C] 660 yd [D] 69 yd. What is the area of a parallelogram with a base of 0 inches and a height of 8 inches? [A] 80 in [B] 790 in [C] 0 Obj. 9 - WP: Determine the area of a triangle in [D] 116. Liat needs to know if she has enough paint for the sail of her model ship. In order to figure this out, she needs to find the area of the sail. The sail is a triangle with a base of 1 cm and a height of 0 cm. What is its area? [A] 108 cm [B] 80 cm [C] 60 cm [D] cm in
Topic - Geometry 6. A rancher fenced off a square pasture into a section for horses and a section for growing new grass. The pasture is 80 yards on each side. What is the area of the section for horses? new grass horses 80 yd 80 yd [A], 1 yd [B] 6, 00 yd [C], 00 yd [D] 0 yd Obj. 9 - Find the area of a polygon composed of triangles and rectangles 7. The shape shows a square next to an isosceles triangle. What is the total area of the shape? 10 m b not drawn to scale g 1 m [A] 1 m [B] 0 m [C] 108 m [D] 6 m 8. What is the total area of the shape? 16 cm 16 cm 8 cm 8 cm [A] 8 cm [B] 0 cm [C] 1 cm [D] 7 cm 6
Topic - Geometry Obj. 96 - WP: Find the area of a polygon composed of triangles and rectangles 9. A flower bed wraps around the corner of a house. A drawing of the flower bed is shown below. What is the area of the flower bed? 9 ft (not drawn to scale) 0 ft 8 ft 8 ft [A] 60 ft [B] ft [C] 96 ft [D] ft 10. One of the greens of a miniature golf course must have the carpet replaced. A diagram of the green is shown below. What is the area of the carpet that is needed? (not drawn to scale) 7 ft ft ft 1 ft 1 ft [A] 1 ft [B] 18 ft [C] ft [D] 168 ft 7
Topic - Geometry Obj. 97 - Find the volume of a right rectangular prism with fractional edge lengths using unit fraction cubes 11. What is the volume of the rectangular prism below? Each unit cube in the prism has the following side lengths: 1 cm 1 cm 1 cm [A] [C] 1 cm cm = cm [B] 16 cm cm cm = cm [D] 6 cm 6 cm = 16 cm cm cm cm = cm 8
Topic - Geometry 1. What is the volume of the rectangular prism below? Each unit cube in the prism has the following side lengths: 1 cm 1 cm 1 cm [A] [C] 18 cm cm cm = cm [B] 6 cm cm = cm [D] cm 9 cm = cm cm 18 cm cm = 1 cm 9
Topic - Geometry Obj. 98 - Relate volume found using unit cubes to multiplication of edge lengths in a right rectangular prism 1. Which expression represents the volume of the rectangular prism below? Each unit cube in the prism has the following side lengths: 1 cm 1 cm 1 cm cm cm cm [A] [C] cm cm [B] cm + cm + cm [D] cm cm cm cm cm 60
Topic - Geometry 1. Which expression represents the volume of the rectangular prism below? Each unit cube in the prism has the following side lengths: 1 cm 1 cm 1 cm cm cm cm [A] [C] cm + cm + cm [B] cm cm [D] cm cm cm cm cm Obj. 99 - Find the volume of a right rectangular prism with fractional edge lengths using a formula 1. What is the volume of the rectangular prism? Use the formula V = lwh. yd yd 8 1 8 yd (not drawn to scale) [A] 8 yd [B] 6 yd [C] yd [D] 1 7 8 yd 61
Topic - Geometry 16. What is the volume of the rectangular prism? Use the formula V = lwh. 1 8 in. in. in. [A] in [B] 6 7 8 in [C] 8 in [D] 6 8 17. What is the volume of the rectangular prism? Use the formula V = Bh. in in. Area of base = 1 in [A] 6 1 in [B] 10 in [C] 8 in [D] 8 1 in Obj. 100 - WP: Find the volume of a right rectangular prism with fractional edge lengths using a formula 18. A manufacturer is preparing a shipment of decks of playing cards. The manufacturer needs to know how many decks will fit into one box. Each deck s surface has an area of 6 1 square inches. A deck of these playing cards is 1 inch thick. What is the volume of one deck of cards? Use the formula V = Bh. [A] in [B] 6 1 in [C] 7 in [D] 1 in 6
Topic - Geometry 19. To plan for heating costs, an engineer needs to know a building s volume. The area of the floor of a building is 0 square yards. The building is 97 1 yards high. What is the volume of the building? Use the formula V = Bh. [A] 7 1 yd [B] 11,666 yd [C],90 1 yd [D],066 yd 0. An owner of a lumberyard is packing up boards for a shipment. The boards she is shipping are 9 feet long, 1 foot wide, and foot thick. What is the volume of one board of wood? Use the formula V [A] 9 1 = lwh. ft [B] 10 1 6 ft [C] ft [D] 1 ft 1. A manufacturer needs to know how many cutting boards can fit into one box. A cutting board is 16 8 inches long, 10 inches wide, and 1 inch thick. What is the volume of the cutting board? Use the formula V [A] 8 1 8 in [B] = lwh. in [C] 160 16 in [D] 7 1 8 Obj. 101 - Determine the location of the vertices of a polygon on the Cartesian plane. One of the rectangles has vertices at 1,, [A] y b g b1, g, b, g, and b, in g. Which one is it? 6 x 6
Topic - Geometry [B] y 6 x [C] y 6 x [D] y 6 x (.) 6
Topic - Geometry. What is the fourth vertex of the rectangle with vertices at 6, 6, y 8 6 b g b 1, 6g, and 1, b g? 8 6 x b g [B] b 6, 6g [C] b, g [D] b, 6g [A] 6, Obj. 10 - Find a side length of a polygon on the coordinate plane. The coordinates of point A are 6, 6. length of AD? A y 10 8 6 6 8 10 x B 10 8 6 6 8 10 D C b g The coordinates of point D are b 6, g. What is the [A] units [B] units [C] 10 units [D] 9 units 6
Topic - Geometry. The coordinates of point A are 6, length of AB? A y 10 8 6 10 8 6 6 8 10 x 6 8 10 C B b g. The coordinates of point B are b, g. What is the [A] units [B] units [C] 10 units [D] 11 units 66
Topic - Geometry Obj. 10 - WP: Find a side length of a polygon on the coordinate plane 6. In a football game, the quarterback drops back to pass. After two seconds, a snapshot is taken of the play. The location of the quarterback and two receivers are placed on a coordinate plane. The quarterback is located at b, g. Receiver # is located at b, g. Receiver #8 is located at b, g. Each unit on the coordinate plane is one yard on the football field. What is the distance between the quarterback and receiver #? y 10 receiver #8 10 10 x quarterback receiver # 10 [A] yd [B] 8 yd [C] 7 yd [D] 9 yd 67
Topic - Geometry 7. Part of Tom s neighborhood block is placed on a coordinate plane. Each unit on the coordinate plane represents one meter in Tom s neighborhood. Tom s house is located at b, g on the coordinate plane. Koda s house is located atb6, g. How many meters is it from Tom s house to Koda s house? y b, g b6, 1 b g b6 1g 7 6 1 1 6 7 x 1, 1, g [A] 1 m [B] 11 m [C] 17 m [D] m 8. The outline of an octagonal window is sketched on a coordinate plane. The coordinates of two of its corners are given in the graph. Each unit on the coordinate plane represents one inch. What is the distance between point A and point B? y 0 b g A 16, 8 0 0 b x B 16, g 0 [A] in. [B] in. [C] 1 in. [D] 10 in. 68
Topic - Geometry 9. Four race boats are on a lake. Their positions are plotted on a coordinate plane. Each unit on the coordinate plane represents one foot on the lake s racecourse. How far is boat A from boat B? y b 700, 00 g A 00 b B 00, 00 g b 1,000 00 00 1,000 x 700, 00 g C b D 1, 000, 00 g 00 [A] 1,100 ft [B] 1,000 ft [C] 1,00 ft [D] 1,00 ft 69
Topic - Geometry Obj. 10 - Determine a net of a -dimensional shape 0. Which net can be folded to make this cube? [A] [B] [C] [D] 70
Topic - Geometry 1. Which net can be folded to make a square-based pyramid? [A] [B] [C] [D] Obj. 10 - Determine the surface area of a cube or a rectangular prism given a net. Use the net to find the surface area of the cube. 9 cm 9 cm 9 cm 9 cm 9 cm 9 cm [A] 16 cm [B] 86 cm [C] 79 cm [D] cm 71