Math Management Software. Grade 7. Second Edition. Texas Standards - Aligned Library Guide

Transcription

1 Math Management Software Grade 7 Second Edition Texas Standards - Aligned Library Guide

2 Renaissance Learning P. O. Box 8036 Wisconsin Rapids, WI Phone: (800) FAX: (715) Support Web Site: Copyright Notice 2009, Renaissance Learning, Inc. All Rights Reserved. This publication is protected by U.S. and international copyright laws. It is unlawful to duplicate or reproduce any copyrighted material without authorization from the copyright holder. This document may be reproduced only by staff members in schools that have a license for Accelerated Math software. For more information, contact Renaissance Learning, Inc., at the address above. Accelerated Math, Renaissance, and Renaissance Learning are trademarks of Renaissance Learning, Inc., and its subsidiaries, registered, common law, or pending registration in the United States and in other countries.

3 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 us at answers@renlearn.com. Contents Topic 1 - Number Sense and Operations...1 Obj. 1 - Order positive rational numbers...1 Obj. 2 - Multiply a proper fraction by a whole number using a model...1 Obj. 3 - Multiply a proper fraction by a whole number...2 Obj. 4 - Multiply a fraction by a fraction...2 Obj. 5 - Multiply a mixed number by a whole number...3 Obj. 6 - Multiply a mixed number by a fraction...3 Obj. 7 - Multiply a mixed number by a mixed number...3 Obj. 8 - Determine the reciprocal of a whole number, a proper fraction, or an improper fraction...3 Obj. 9 - Determine the reciprocal of a mixed number...4 Obj. - Divide a whole number by a fraction, with a whole number quotient using a model...4 Obj Divide a whole number by a fraction, with a whole number quotient...5 Obj Divide a fraction by a whole number resulting in a fractional quotient...5 Obj Divide a fraction by a fraction...5 Obj Divide a whole number by a fraction resulting in a fractional quotient...5 Obj Divide a mixed number by a fraction...6 Obj Divide a mixed number by a mixed number...6 Obj WP: Use a numerical expression to represent a situation involving fraction multiplication and/or division...6

4 Obj WP: Multiply or divide a fraction by a fraction...7 Obj WP: Multiply or divide two mixed numbers or a mixed number and a fraction...7 Obj WP: Solve a 2-step problem involving fractions...8 Obj Estimate the product of a fraction and a whole number...8 Obj Estimate the quotient of a whole number divided by a fraction...9 Obj WP: Estimate the result of dividing or multiplying a whole number by a fraction...9 Obj Multiply a decimal number greater than one by a decimal number to thousandths that has only 1 nonzero digit...9 Obj Multiply decimal numbers greater than one where the product has 2 or 3 decimal places... Obj WP: Multiply two decimal numbers to thousandths... Obj Divide a 1- to 3-digit whole number by a decimal number to tenths where the quotient is a decimal number to thousandths... Obj Divide a 2- or 3-digit whole number by a decimal number to hundredths or thousandths, rounded quotient if needed...11 Obj Divide a decimal number by a decimal number through thousandths, rounded quotient if needed...11 Obj WP: Divide a whole number by a decimal number through thousandths, rounded quotient if needed...11 Obj WP: Divide a decimal through thousandths by a decimal through thousandths, rounded quotient if needed...11 Obj WP: Estimate the quotient of two decimals...12 Obj WP: Use a numerical expression to represent a situation involving decimal multiplication and/or division...12 Obj WP: Solve a 2-step problem involving decimals...13 Obj Determine the whole number that can be squared to make a given number...13 Obj Evaluate the positive square root of a perfect square...13 Obj Determine the exponential notation that represents a repeated multiplication...13 Obj Determine the repeated multiplication that is represented by a number raised to a power...14 Obj Evaluate a whole number power of a whole number...14 Obj Determine an exponential form of a whole number...14 Obj Evaluate an expression containing the fraction bar as the division sign...14 Obj Evaluate a numerical expression, with parentheses and exponents, using order of operations...15 Obj Convert a decimal number to a percentage greater than 0%...15 Obj Convert a percentage to a decimal number greater than

5 Obj Convert a decimal number in thousandths to a percentage...15 Obj Convert a percentage to a decimal number in thousandths...16 Obj Convert a mixed number to a percentage...16 Obj Convert a percentage to a mixed number...16 Obj Determine a percent of a whole number using less than 0%...16 Obj Determine a percent of a whole number using more than 0%...17 Obj Determine the percent a whole number is of another whole number, with a result less than 0%...17 Obj Determine a whole number given a part and a percentage less than 0%...17 Obj WP: Determine a percent of a whole number using less than 0%...17 Obj WP: Determine the percent a whole number is of another whole number, with a result less than 0%...18 Obj WP: Determine a whole number given a part and a percentage...18 Obj WP: Determine the percent of decrease applied to a number...18 Obj WP: Determine the percent of increase applied to a number...19 Obj WP: Determine the result of applying a percent of decrease to a value...19 Obj WP: Determine the result of applying a percent of increase to a value...19 Obj WP: Answer a question involving a fraction and a percent...20 Obj WP: Answer a question involving a fraction and a decimal...20 Obj WP: Solve a multi-step problem involving decimal numbers...21 Obj WP: Solve a multi-step problem involving fractions or mixed numbers...21 Obj Evaluate the absolute value of an integer...22 Obj Determine the opposite of an integer...22 Obj Compare two negative integers or a negative integer and a positive integer...22 Obj Order negative integers or a mix of positive and negative integers...22 Obj Add integers using a number line...23 Obj Add integers using a model...23 Obj Add integers...24 Obj Subtract integers using a number line...24 Obj Subtract integers...24 Obj WP: Add and subtract using integers...24

6 Obj Multiply integers...25 Obj Divide integers...25 Obj WP: Multiply or divide integers...25 Obj WP: Determine the ratio of two whole numbers, at least one of which is larger than Obj Determine ratios equivalent to a given ratio of two whole numbers, at least one of which is larger than Obj WP: Determine a part, given part to whole ratio and the whole, where the whole is greater than Obj WP: Determine a part, given part to part ratio and the whole, where the whole is greater than Obj WP: Determine a part, given part to whole ratio and a part, where the whole is greater than Obj WP: Determine a part, given part to part ratio and a part, where the whole is greater than Obj WP: Determine the whole, given part to whole ratio and a part, where the whole is greater than Obj WP: Determine the whole, given part to part ratio and a part, where the whole is greater than Obj WP: Determine a unit rate...29 Obj WP: Use a unit rate to solve a problem...29 Topic 2 - Algebra...30 Obj Evaluate a rational expression involving variables with two or more terms in the numerator or denominator...30 Obj Evaluate a 1-variable expression, with two or three operations, using integer substitution...30 Obj Evaluate a 2-variable expression, with two or three operations, using integer substitution...30 Obj Evaluate an algebraic expression involving whole number exponents...30 Obj WP: Evaluate a variable expression...31 Obj WP: Evaluate a variable expression involving exponents...31 Obj Answer a question involving algebraic terminology...32 Obj Use a variable expression to represent the relationship between the terms and their positions in an arithmetic sequence...32 Obj Use a variable expression with two operations to represent a table of paired numbers...32 Obj WP: Use a 2-variable expression to represent a situation...33 Obj WP: Use direct variation to solve a problem...33 Obj Solve a 1-step linear equation involving integers...34 Obj Use a model to solve a 2-step linear equation involving integers...34 Obj. 0 - Solve a 2-step linear equation involving integers...34 Obj. 1 - WP: Use a 1-variable 1-step equation to represent a situation...35

7 Obj. 2 - Use a table to represent a linear function...35 Obj. 3 - Use a graph to represent the ordered pairs in a function table...36 Obj. 4 - Determine the graph of a 1-operation linear function...38 Topic 3 - Geometry and Measurement...40 Obj. 5 - Convert between Fahrenheit and Celsius temperature given a formula...40 Obj. 6 - Determine the circumference of a circle using 22/7 for pi...40 Obj. 7 - Determine the circumference of a circle in terms of pi...40 Obj. 8 - Solve a problem involving the circumference of a circle...41 Obj. 9 - Determine the area of a trapezoid...41 Obj. 1 - Estimate the area of an irregular shape or a circle on a grid...42 Obj Determine the area of a circle in terms of pi...42 Obj Determine the area of a circle using 3.14 for pi...43 Obj Determine the area of a circle using 22/7 for pi...43 Obj WP: Determine the area of a circle using 3.14 for pi...44 Obj Solve a problem given the area of a circle...44 Obj Determine the volume of a rectangular or a triangular prism...44 Obj Determine the volume of a cylinder...45 Obj WP: Determine the volume of a cylinder...46 Obj WP: Solve a problem involving the volume of a geometric solid...47 Obj Determine the net of the surface area of a 3-dimensional figure...49 Obj Determine the graph of the relationship between measurements in a geometric shape...50 Obj Identify corresponding parts of congruent shapes...54 Obj Identify congruent shapes given side and angle measures...55 Obj Determine a missing dimension given two congruent shapes...56 Obj Identify similar polygons...58 Obj Determine the scale for a drawing or map question...59 Obj WP: Solve a problem involving a map or scale drawing...60 Obj Convert a rate from one unit to another with a change in one unit...61

8 Obj Convert a rate from one unit to another with a change in both units...61 Obj Determine approximate conversions between metric and customary units of length...61 Obj Determine approximate conversions between metric and customary units of capacity...61 Obj Determine approximate conversions between metric and customary units of weight/mass...62 Obj Identify vertical, adjacent, complementary, or supplementary angles...62 Obj Determine the measure of a missing angle using angle relationships...63 Obj Classify a triangle by its sides and angles...64 Obj Know the properties of a triangle or a quadrilateral...65 Obj Determine the location of an ordered pair in any quadrant...65 Obj Determine the ordered pair of a point in any quadrant...66 Obj Determine the location of a simple shape on the Cartesian plane given the coordinates of its vertices...67 Obj Determine the coordinates of a missing point determined by geometric information...68 Obj Determine a side length of a shape on the Cartesian plane...69 Obj Determine the area of a shape on the Cartesian plane...70 Obj Determine the graph of a reflection or a translation...71 Obj Visualize a 2-dimensional shape...73 Obj Identify attributes of a 3-dimensional shape...73 Obj Compare attributes of 3-dimensional shapes...73 Obj Relate a 3-dimensional shape to its top and side views...74 Topic 4 - Data Analysis, Statistics, and Probability...76 Obj Answer a question using information from a circle graph using percentage calculations...76 Obj Use a circle graph to organize data...77 Obj Read a double stem-and-leaf plot...80 Obj Answer a question using information from a double stem-and-leaf plot...81 Obj Answer a question using information from a Venn diagram containing summarized data...82 Obj Determine the mean of a set of data...83 Obj Determine the mode(s) of a set of data...83 Obj Determine the median of a set of data...83 Obj WP: Use the mean of a data set to solve a problem...84

9 Obj Use a proportion to make an estimate, related to a population, based on a sample...84 Obj Determine all possible outcomes of an event...85 Obj Determine the probability for independent events...87

10 Topic 1 - Number Sense and Operations Obj. 1 - Order positive rational numbers 1. Which list shows the numbers in order from least to greatest? [A] [C] 16 12, , [B] , 23, ,, [D] ,, Which list shows the numbers in order from greatest to least? 5 5 [A] , 27%, [B] ,, 27% [C] 27%, , [D] 27%,, Obj. 2 - Multiply a proper fraction by a whole number using a model There are 12 circles. Separate the circles into 4 equal groups to find [A] 12 [B] 2 [C] 48 [D] 3 1

11 Topic 1 - Number Sense and Operations 4. Find Shade 2 equal strips in each square. How many sixths are shaded? [A] 18 6 [B] 8 6 [C] 9 6 [D] 19 6 Obj. 3 - Multiply a proper fraction by a whole number 5. Multiply: (Simplify the answer if possible.) [A] [B] [C] [D] Multiply: 68 2 (Simplify the answer if possible.) 7 [A] [B] [C] [D] Obj. 4 - Multiply a fraction by a fraction 7. Multiply: [A] [B] 1 12 [C] 1 4 [D] Multiply: [A] [B] [C] 7 24 [D]

12 Topic 1 - Number Sense and Operations Obj. 5 - Multiply a mixed number by a whole number 9. Multiply: 1 1 [A] [B] 1 5 [C] 12 [D] 13. Multiply: [A] [B] 358 [C] [D] 356 Obj. 6 - Multiply a mixed number by a fraction 11. Multiply: [A] 4 [B] [C] [D] Multiply: [A] [B] 3 [C] [D] Obj. 7 - Multiply a mixed number by a mixed number 13. Multiply: [A] [B] [C] [D] Multiply: [A] [B] 66 [C] [D] Obj. 8 - Determine the reciprocal of a whole number, a proper fraction, or an improper fraction 15. What is the reciprocal of? [A] 0 [B] [C] 1 [D] What is the reciprocal of 7? [A] 0 49 [B] 7 [C] 7 [D] 7 3

13 Topic 1 - Number Sense and Operations Obj. 9 - Determine the reciprocal of a mixed number 17. What is the reciprocal of 3 1 3? [A] 3 [B] 3 [C] 3 11 [D] What is the reciprocal of ? [A] [B] [C] [D] Obj. - Divide a whole number by a fraction, with a whole number quotient using a model 19. Use the diagram to find [A] 4 [B] 5 [C] 6 5 [D] Use the number line to find [A] 1 6 [B] 5 [C] 6 [D] 5 3 4

14 Topic 1 - Number Sense and Operations Obj Divide a whole number by a fraction, with a whole number quotient 21. Divide: 49 7 (Simplify the answer if possible.) [A] 70 [B] 80 [C] 34 3 [D] Divide: 60 5 (Simplify the answer if possible.) 6 [A] 78 [B] 72 [C] 50 [D] 1 72 Obj Divide a fraction by a whole number resulting in a fractional quotient 23. Divide: [A] 2 15 [B] 3 [C] 1 9 [D] Divide: [A] 1 32 [B] [C] [D] Obj Divide a fraction by a fraction 25. Divide: [A] [B] [C] [D] Divide: 3 2 [A] [B] 1 7 [C] [D] 9 28 Obj Divide a whole number by a fraction resulting in a fractional quotient 27. Divide: 11 3 [A] [B] [C] [D] Divide: 9 17 [A] [B] 1 17 [C] 17 [D]

15 Topic 1 - Number Sense and Operations Obj Divide a mixed number by a fraction 29. Divide: [A] 3 [B] 2 [C] [D] Divide: [A] [B] [C] [D] Obj Divide a mixed number by a mixed number 31. Divide: [A] [B] [C] [D] Divide: [A] [B] [C] [D] Obj WP: Use a numerical expression to represent a situation involving fraction multiplication and/or division 33. Carlota is making homemade salsa to give to her friends. She has jars that each hold ounces of salsa. The recipe makes a total of ounces of salsa. Which expression represents the number of jars Carlota can fill with salsa? [A] [B] [C] [D] A car dealership has 5 vehicles and 3 7 of them have four-wheel drive. Which expression represents the number of vehicles at the dealership that have four-wheel drive? [A] [B] 5 3 [C] 5+ 3 [D]

16 Topic 1 - Number Sense and Operations Obj WP: Multiply or divide a fraction by a fraction 35. For exercise, a student runs an average of 9 of a mile every day. Today, he only ran 1 of that distance. How far did the student run today? 2 [A] 9 20 mi [B] 12 5 mi [C] 5 9 mi [D] 2 5 mi 36. When she wants to go downtown, a woman walks 1 5 mile to a bus stop and catches a city bus. Last month, she walked a total of 4 5 mile to the bus stop to catch the city bus. How many times did she catch the city bus last month? [A] 9 [B] 3 [C] 5 [D] 4 Obj WP: Multiply or divide two mixed numbers or a mixed number and a fraction 37. A family s garden covers an area of m. They are using 19 of the garden to grow 5 20 vegetables. How many square meters are being used to grow vegetables? [A] m [B] m [C] m [D] m 38. To finish building cabinets, a carpenter needs to cut pieces of wood inches long. The carpenter will cut the pieces from a board that is inches long. How many pieces will the carpenter be able to cut for the cabinets? [A] 6 [B] 16 [C] 7 [D] 133 7

17 Topic 1 - Number Sense and Operations Obj WP: Solve a 2-step problem involving fractions 39. It is 2 3 mile from a student s home to a store and back. In a week, she walked to the store and back home 1 time. In the same week, she rode her bike to the store and back 3 times. How many miles did she walk and ride to the store and back in that week? [A] 4 mi [B] mi [C] mi [D] mi 40. A worker spent 9 hours at work yesterday. Today she spent 5 6 as much time at work as she spent yesterday. How much time did she spend at work during both days? [A] hr [B] hr [C] 4 5 hr [D] hr 41. A school is gathering information about where students live. There are 263 male students and 283 female students in the school. In all, 1 6 of the students live west of the river. How many students live west of the river? [A] 43 [B] 91 [C] 1,578 [D] 455 Obj Estimate the product of a fraction and a whole number 42. Which number is a reasonable estimate for 1 9 1, 265? [A] 14 [B] 980 [C] 140 [D] Which number is a reasonable estimate for ? [A] 30 [B] 120 [C] 240 [D] 180 8

18 Topic 1 - Number Sense and Operations Obj Estimate the quotient of a whole number divided by a fraction 44. Which number is a reasonable estimate for 444 3? 4 [A] 550 [B] 330 [C] 350 [D] Which number is a reasonable estimate for 75 4? 5 [A] 95 [B] 60 [C] 72 [D] 76 Obj WP: Estimate the result of dividing or multiplying a whole number by a fraction 46. In a marathon with 477 participants, approximately 1 4 of the runners finished the course in under four hours. Which number is a reasonable estimate of the number of participants who finished in under four hours? [A] 140 [B] 360 [C] 120 [D] A wedding caterer has made 79 cups of fruit salad to serve to guests. A serving is 2 cup. Which value is a reasonable estimate of the number of guests the fruit salad will 3 serve? [A] 120 [B] 162 [C] 180 [D] 69 Obj Multiply a decimal number greater than one by a decimal number to thousandths that has only 1 nonzero digit 48. Multiply: [A] [B] [C] [D] [A] [B] [C] [D]

19 Topic 1 - Number Sense and Operations Obj Multiply decimal numbers greater than one where the product has 2 or 3 decimal places 50. Multiply: [A] 9.76 [B] [C] 8.86 [D] Multiply: [A] 5,280.6 [B] [C] [D] [A] [B] 25,433.1 [C] [D] Obj WP: Multiply two decimal numbers to thousandths 53. Adam has 4.2 ounces of applesauce for lunch. Each ounce of the applesauce contains 0.45 g of fiber. How much fiber is contained in the applesauce? [A] 0.89 g [B] 0.9 g [C] 1.89 g [D] 2.7 g 54. One pound of the potting soil Rachel is using has a volume of 0.27 cubic feet. She puts 1.87 pounds of potting soil into a pot. What is the volume of the soil in the pot? 3 3 [A] ft [B] ft [C] ft 3 [D] ft 55. One cubic inch of the copper an artist is using weighs pounds. The artist uses 33.4 cubic inches of copper to make a small statue. What is the weight of the statue? [A].755 lb [B] lb [C] lb [D] lb Obj Divide a 1- to 3-digit whole number by a decimal number to tenths where the quotient is a decimal number to thousandths 56. Divide: [A] 28.5 [B] 2.75 [C] 27.5 [D] Divide: [A] [B] [C] [D] Divide: [A] [B] [C] [D]

20 Topic 1 - Number Sense and Operations Obj Divide a 2- or 3-digit whole number by a decimal number to hundredths or thousandths, rounded quotient if needed 59. Divide: [A] 21,250 [B] 2,225 [C] 2,125 [D] 22, Divide: [A] 36,600 [B] 3,560 [C] 3,660 [D] 35, Divide: [A] [B] [C] [D] Obj Divide a decimal number by a decimal number through thousandths, rounded quotient if needed 62. Divide: [A] [B] [C] [D] Divide: [A] [B] [C] [D] Obj WP: Divide a whole number by a decimal number through thousandths, rounded quotient if needed 64. A soap maker has 12 ounces of cinnamon oil. Her soap recipe calls for 0.8 ounces of cinnamon oil for each batch of soap. How many batches of soap can she make using the cinnamon oil she has? [A] 96 [B] 150 [C] 20 [D] Jack has $ He is buying apples for $0.75 a pound. To the nearest pound, what is the greatest number of pounds of apples Jack can buy? [A] 426 lb [B] 43 lb [C] 46 lb [D] 24 lb Obj WP: Divide a decimal through thousandths by a decimal through thousandths, rounded quotient if needed 66. A rectangular strip of land between a street and a parking lot has been completely covered 2 with grass by using m of sod. The strip of land is 2.3 m wide. How long is the strip of land? [A] 24.5 m [B] 242 m [C] 24.2 m [D] 128 m 11

21 Topic 1 - Number Sense and Operations 67. The plastic used in making one compact disk weighs 056. ounce. What is the greatest number of compact disks that can be made from a ounce supply of this plastic? [A] 12,220 [B] 1,222 [C] 383 [D] 1, A company packages pencil lead for mechanical pencils. The pencil lead is packaged in lengths of m. How many of these shorter pieces can be cut from a strip of pencil lead that is m long? [A] 63 [B] 41 [C] 39 [D] 15 Obj WP: Estimate the quotient of two decimals 69. For an experiment, the teacher wants to equip each lab station with 6.6 cm of magnesium ribbon. There is a total of cm of the ribbon. Which value is a reasonable estimate of the number of lab stations that can be supplied with the magnesium ribbon? [A] 20 [B] 30 [C] 45 [D] Lucy has a jar of dimes. The contents of the jar have a mass of 1.54 kg. A single dime has a mass of about kg. Which number is a reasonable estimate of the number of dimes in the bowl? [A] 400 [B] 40 [C] 800 [D] 8,000 Obj WP: Use a numerical expression to represent a situation involving decimal multiplication and/or division 71. Sonia drove her compact car 0 miles to visit her relatives. The car averaged 37.6 miles per gallon of gas. Which expression shows how to find the number of gallons of gas the car used? [A] [B] [C] [D] A food cart at a carnival sells pizza by the slice. One slice of pepperoni pizza costs $3.45. On the first day, the food cart sold 125 slices of pepperoni pizza. Which expression represents the total amount of money the food cart s customers spent on pepperoni pizza that day? [A] [B] [C] [D]

22 Topic 1 - Number Sense and Operations Obj WP: Solve a 2-step problem involving decimals 73. Juanita is doing research for an article she is writing on hiking in the mountains. She hiked 3.2 km the first day and 5.5 km the second day. What was the average distance she hiked each day? [A] 4.4 km [B] 9.4 km [C] 8.7 km [D] 2.3 km 74. A certain washer is made from a solid disk of metal that has a mass of 53.1 g. A hole is stamped in the disk, and 25.8 g of metal is removed. What is the total mass of 300 of these washers? [A] 15,904.2 g [B] g [C] 8,190 g [D] 81,900 g Obj Determine the whole number that can be squared to make a given number 75. A whole number was squared. The result was 64. What was the original number? [A] 8 [B] 4 [C] 32 [D] A whole number was squared. The result was 144. What was the original number? [A] 6 [B] 288 [C] 72 [D] 12 Obj Evaluate the positive square root of a perfect square 77. Evaluate: 9 [A] 4.5 [B] 6 [C] 3 [D] Evaluate: 144 [A] 12 [B] [C] 6 [D] 72 Obj Determine the exponential notation that represents a repeated multiplication 79. Which expression is equivalent to 7 7? [A] 7 3 [B] 7 2 [C] 2 7 [D] Which expression is equivalent to ? [A] 7 6 [B] 7 5 [C] 6 7 [D]

23 Topic 1 - Number Sense and Operations Obj Determine the repeated multiplication that is represented by a number raised to a power 81. Which expression can be represented by 3 4? [A] 3 4 [B] [C] [D] Which expression can be represented by 3 7? [A] [B] [C] [D] 3 7 Obj Evaluate a whole number power of a whole number 83. Evaluate: 4 5 [A] 4,096 [B] 20 [C] 1,024 [D] Evaluate: 7 [A] 1,000,000 [B],000,000 [C] 0,000,000 [D] 0,000 Obj Determine an exponential form of a whole number = [A] 3 4 [B] 4 3 [C] 5 3 [D] , 000, 000, 000 = [A] 8 [B] 9 [C] 8 [D] 9 Obj Evaluate an expression containing the fraction bar as the division sign 87. Evaluate: Evaluate: [A] 6 [B] 2 [C] 8 [D] 7 [A] 7 [B] 6 [C] 2 [D] 1 14

24 Topic 1 - Number Sense and Operations Obj Evaluate a numerical expression, with parentheses and exponents, using order of operations 89. Evaluate: F HG I K J b g [A] [B] [C] [D] Evaluate: 3+ b16 6g 2 [A] [B] [C] [D] Evaluate: b14 4g [A] 444 [B] 458 [C] 746 [D] 682 Obj Convert a decimal number to a percentage greater than 0% 92. What percentage can be written as 1.56? [A] 0.56% [B] % [C] 1,560% [D] 156% 93. What percentage can be written as 3.74? [A] % [B] % [C] 374% [D] 3,740% Obj Convert a percentage to a decimal number greater than What decimal can be written as 283%? [A] 2.38 [B] [C] 2.83 [D] What decimal can be written as 534%? [A] 5.34 [B] 53.4 [C] 54.3 [D] Obj Convert a decimal number in thousandths to a percentage 96. What is as a percent? [A] 0.215% [B] % [C] 215% [D] 21.5% 97. What is as a percent? [A] 55.76% [B] 5,576% [C] 557.6% [D] 55,760% 15

25 Topic 1 - Number Sense and Operations Obj Convert a percentage to a decimal number in thousandths 98. What is 69.1% as a decimal? [A] [B] [C] 6.9 [D] What is 532.8% as a decimal? [A] [B] [C] [D] Obj Convert a mixed number to a percentage 0. What is written as a percent? [A] 44% [B] 404% [C] 440% [D] 4.4% 1. What is 4 21 written as a percent? 25 [A] 4.84% [B] 484% [C] 0.484% [D] 48.4% Obj Convert a percentage to a mixed number 2. Which number can be used to represent 565%? [A] [B] Which number can be used to represent 123%? [A] 123 1,000 [B] [C] [C] 23 0 [D] [D] 12 3 Obj Determine a percent of a whole number using less than 0% 4. What is 73% of 78? [A] 7.8 [B].14 [C] [D] What is 22% of 249? [A] [B] [C] 5,478 [D]

26 Topic 1 - Number Sense and Operations Obj Determine a percent of a whole number using more than 0% 6. What is 119% of 44? [A] [B] [C] [D] What is 348% of 939? [A] 3, [B] [C] 3.71 [D] Obj Determine the percent a whole number is of another whole number, with a result less than 0% 8. What percent of 50 is 18? [A] 2.78% [B] 36% [C] 64% [D] 9% 9. What percent of 6,050 is 1,089? [A] 18% [B] 556% [C] 5.6% [D] 0.18% Obj Determine a whole number given a part and a percentage less than 0% is 30% of what number? [A] 3.6 [B] 42 [C] 40 [D] % of what number is ? [A] [B] 492 [C] [D] 494 Obj WP: Determine a percent of a whole number using less than 0% 112. Ben is planning to buy a computer that costs $ retail. If he buys it online, he will save 14%. How much will he save if he buys the computer online? [A] $ [B] $58.93 [C] $11.55 [D] $ At a university, 71% of the students are undergraduates. If there are 6,400 students, how many of them are undergraduates? [A] 186 [B] 4,544 [C] 454 [D] 1,856 17

27 Topic 1 - Number Sense and Operations Obj WP: Determine the percent a whole number is of another whole number, with a result less than 0% 114. A clothing store manager is comparing weekend and weekday sales. In the last week, the store sold $5,832 worth of merchandise on the weekdays and $4,968 worth of merchandise over the weekend. What percent of the merchandise was sold over the weekend? [A] 56% [B] 54% [C] 46% [D] 85% 115. At Franklin High School, 165 of the 375 seniors plan to attend a state college after they graduate. What percent of the seniors plan to go to a state college after they graduate? [A] 31% [B] 44% [C] 69% [D] 23% Obj WP: Determine a whole number given a part and a percentage 116. A fruit-drink company tested some new flavors. Of the people who participated in the taste test, 34% liked the new fruit-punch flavor. If 51 people liked the fruit-punch flavor, how many people participated in the taste test? [A] 150 [B] 77 [C] 34 [D] Carisa planted petunias and marigolds in her yard. Of the flowers she planted, 80% were marigolds. If she planted 20 marigolds, how many total flowers did Carisa plant? [A] 0 [B] 25 [C] 400 [D] 16 Obj WP: Determine the percent of decrease applied to a number 118. A coat that normally sells for $125 is on sale for $115. By what percent is the original cost of the coat decreased? [A] 13% [B] 8% [C] % [D] 15% 119. Below a bridge on a coastal road, the water depth at high tide was 5.6 feet. At low tide, the water depth was 1.4 feet. What percent of decrease in water depth occurred between high tide and low tide? [A] 75% [B] 60% [C] 20% [D] 25% 18

28 Topic 1 - Number Sense and Operations Obj WP: Determine the percent of increase applied to a number 120. Rebecca is buying some books on the Internet. The books cost $25. With a shipping charge applied, the total cost of buying the books is $28. By what percent does the shipping charge increase the cost? [A] 88% [B] 12% [C] 86% [D] 14% 121. Nathaniel is training to run in a race. During the first week of training, he ran 6 miles. In the fifth week of training, he was able to increase the distance he ran to 8.88 miles. By what percent was he able to increase his running distance? [A] 48% [B] 68% [C] 52% [D] 32% Obj WP: Determine the result of applying a percent of decrease to a value 122. At a book store, Winona finds a used book that sells for 65% off of the cover price. The cover price of the book is $8.95. How much will she pay for the book? [A] $8.60 [B] $3.13 [C] $5.82 [D] $ A new washing machine uses 20% less water than an older model. If a family uses 1,400 gallons of water per month to run the old washing machine, about how much water will they use each month to run the new washing machine? [A] 1,120 gal [B] 840 gal [C] 560 gal [D] 280 gal Obj WP: Determine the result of applying a percent of increase to a value 124. A store purchases some shirts wholesale for $20.01 each. The store sells the shirts for 53% more than the wholesale cost. How much does the store charge for each shirt? [A] $9.40 [B] $30.62 [C] $29.41 [D] $ Naldo owns a small store. The first month the store was open, he made $1,350 in profit. During the next month, he advertised in the local newspaper and saw a 72% increase in profit. How much profit did he make the second month? [A] $972 [B] $378 [C] $1,728 [D] $2,322 19

29 Topic 1 - Number Sense and Operations Obj WP: Answer a question involving a fraction and a percent 126. Last weekend, Jake s basketball team played in a tournament. Jake scored 1 2 of the team s points. His friend Raul scored 40% of the team s points. What fraction of the team s points were scored by Jake and Raul? [A] 1 20 [B] On Tuesday, Arturo asked several students to name their favorite class. He found that 21% [C] 1 8 [D] 1 2 of the students liked science class best and another 2 5 of the students liked social studies class best. What fraction of the students liked either science or social studies classes best? [A] 4 21 [B] 19 0 [C] 61 0 Obj WP: Answer a question involving a fraction and a decimal 128. Edward was running errands on his bike. First, he biked from his house to the post office [D] 5 21 to pick up a package. The post office is miles away from his house. Next, Edward biked to the market for a cold drink. The market is 3.5 miles from the post office. His mother picked him up at the market and drove him home. How many miles total did Edward bike altogether? [A] 8 3 mi [B] mi [C] mi [D] mi 129. A penny has a thickness of cm. Gary places pennies into a tube until it is filled. How many pennies are in the tube if the tube has a height of cm? [A] 12 [B] 13 [C] 77 [D] 80 20

30 Topic 1 - Number Sense and Operations Obj WP: Solve a multi-step problem involving decimal numbers 130. The Khani family drove to the beach for a vacation. They drove 2.75 hours at an average speed of 43 miles per hour, 1.5 hours at an average speed of 53 miles per hour, and 3 hours at an average speed of 35 miles per hour before reaching the beach. How far did the Khani family drive to get to the beach? [A] mi [B] mi [C] mi [D] mi 131. Nikos, Sean, Ricky, and Pedro each swam 2 laps in a relay race. Nikos swam his laps with an average time of seconds per lap. Sean swam his laps with an average time of seconds per lap. After that, Ricky swam his laps with an average time of seconds per lap. Finally, Pedro completed the relay with an average time of seconds per lap. How long did it take the four swimmers to complete the relay? [A] s [B] s [C] s [D] s Obj WP: Solve a multi-step problem involving fractions or mixed numbers 132. The school band is practicing for their end-of-the-year performance. One week, the band practiced after school 4 times for hours each time. The next week, the band practiced 5 times for hours each time. How many hours did the band practice these two weeks? [A] hr [B] 15 hr [C] hr [D] hr 133. One week, Mr. Torres went to his health club on Monday, Wednesday, and Friday. Each day he went to the club, he jogged on a treadmill for 3 5 hour, lifted weights for 1 4 hour, and then cooled down by stretching for 1 hour. On Saturday, he rode his bike for 4 3 hour. How many hours did he spend riding his bike and exercising at her health club 4 that week? [A] hr [B] hr [C] hr [D] hr 21

31 Topic 1 - Number Sense and Operations 134. Mrs. Evans picked tomatoes from her garden to make 18 cups of chopped tomatoes. She used cups of the chopped tomatoes to make spaghetti sauce and cups to make some chili. She separated the remaining chopped tomatoes into 2 equal portions and froze them. How many cups of tomatoes were in each portion that she froze? [A] cups [B] Obj Evaluate the absolute value of an integer cups [C] cups [D] cups 135. Evaluate: 28 [A] 1 28 [B] 28 [C] 28 [D] Evaluate: 77 [A] 1 77 [B] 77 [C] 1 77 [D] 77 Obj Determine the opposite of an integer 137. What is the opposite of 9? [A] 1 9 [B] 9 [C] 9 [D] What is the opposite of 35? [A] 35 [B] 1 35 [C] 35 [D] 1 35 Obj Compare two negative integers or a negative integer and a positive integer 139. Which statement is true? [A] 4 > 3 [B] 19 < 3 [C] 4 < Which statement is true? [A] 16 > 12 [B] 16 > [C] 12 < Obj Order negative integers or a mix of positive and negative integers 141. Which list is ordered from least to greatest? [A] 1, 7, 15, 11 [B] 15, 11, 7, 1 [C] 1, 7, 11, 15 [D] 15, 7, 11, 1 22

32 Topic 1 - Number Sense and Operations 142. Which list is ordered from greatest to least? [A] 2, 2, 6, [B], 2, 6, 2 [C], 2, 2, 6 [D] 6, 2, 2, Obj Add integers using a number line 143. Use the number line to find the sum: [A] 4 [B] 4 [C] 12 [D] Use the number line to find the sum: 6 +b 4g [A] [B] 2 [C] [D] 2 Obj Add integers using a model 145. Each white tile represents +1 and each gray tile represents 1. A white tile combined with a gray tile equals 0. What is 5+ 7? + [A] 2 [B] 12 [C] 2 [D] Each white tile represents +1 and each gray tile represents 1. A white tile combined with a gray tile equals 0. What is 8 + 3? + [A] 11 [B] 11 [C] 5 [D] 5 23

33 Topic 1 - Number Sense and Operations Obj Add integers 147. Add: 2 + b 3g [A] 1 [B] 5 [C] 1 [D] Add: [A] 6 [B] 38 [C] 6 [D] 38 Obj Subtract integers using a number line 149. Use the number line to find the difference: 2 b 3g [A] 5 [B] 1 [C] 1 [D] Use the number line to find the difference: [A] 8 [B] 12 [C] 12 [D] 8 Obj Subtract integers 151. Subtract: 2 b 6g [A] 4 [B] 4 [C] 8 [D] Subtract: 20 b 42g [A] 22 [B] 62 [C] 62 [D] 22 Obj WP: Add and subtract using integers 153. It was 14 F when Myra went outside to check the temperature on Saturday evening. When Myra went outside to check the temperature on Sunday morning, the temperature had fallen 25 F. What was the temperature when Myra went outside on Sunday morning? [A] 25 F [B] 39 F [C] 11 F [D] 11 F 24

34 Topic 1 - Number Sense and Operations 154. On the first play of a football game, the Mavericks lost 34 yards. On the second play, the Mavericks gained 22 yards. Then they gained 11 yards on the third play. What was the position of the ball relative to its starting point after the first three plays of the game? [A] 23 yd [B] 1 yd [C] 67 yd [D] 67 yd Obj Multiply integers 155. Multiply: b 5gb3g [A] 2 [B] 15 [C] 2 [D] Multiply: b 6gb 7g [A] 13 [B] 42 [C] 13 [D] 42 Obj Divide integers 157. Divide: 32 b 8g [A] 4 [B] 24 [C] 4 [D] Divide: 60 b 2g [A] 29 [B] 30 [C] 29 [D] 30 Obj WP: Multiply or divide integers 159. During a tour of a gold mine, visitors travel down a vertical mine shaft in an elevator. The speed of the elevator can be expressed as 7 feet per second. What is the position of the elevator with respect to the surface of the earth after 5 seconds? [A] 35 ft [B] 12 ft [C] 12 ft [D] 35 ft 160. A scientist changes the temperature of a solution at a rate of 5 C per minute. How many minutes will it take for the solution s temperature to change from 0 C to 55 C? [A] 11 min [B] 60 min [C] 50 min [D] 275 min 25

35 Topic 1 - Number Sense and Operations Obj WP: Determine the ratio of two whole numbers, at least one of which is larger than Two equal-sized plots of land were planted with rice using different watering methods. The first plot produced 4,800 bushels of rice while the second plot produced 3,800 bushels of rice. What is the ratio of the first plot s production to the second plot s production? [A] 12:19 [B] 19:24 [C] 24:19 [D] 48: The masses of various dried woods are compared. The mass of a cubic meter of aspen is 420 kg. The mass of a cubic meter of spruce is 450 kg. What is the ratio of the mass of a cubic meter of spruce to the mass of a cubic meter of aspen? [A] [B] Obj Determine ratios equivalent to a given ratio of two whole numbers, at least one of which is larger than 50 [C] 15 7 [D] Which two ratios are equivalent to 7:2? [A] and [B] 1 30 and [C] and [D] 1 30 and Which two ratios are equivalent to 30:66? [A] 15:22 and :22 [B] 5:11 and :33 [C] 15:33 and :22 [D] 5:33 and 15:22 Obj WP: Determine a part, given part to whole ratio and the whole, where the whole is greater than A large garden is being treated with a liquid fertilizer that requires 3 ounces of concentrated fertilizer for every 50 ounces of water. How much fertilizer is needed for 250 ounces of water? [A] 20 oz [B] 15 oz [C] 0 oz [D] 235 oz 26

36 Topic 1 - Number Sense and Operations 166. A survey of dog owners showed that 1 out of owners got their dogs from animal shelters. Of the 90 dog owners surveyed, how many did not get their dogs from shelters? [A] 80 [B] 86 [C] 9 [D] 81 Obj WP: Determine a part, given part to part ratio and the whole, where the whole is greater than In a company with 330 employees, the ratio of men to women is 6 to 5. How many of the employees are men? [A] 180 [B] 150 [C] 275 [D] A tea company is making a special blend of two teas for a customer. The ratio of Assam tea to Darjeeling tea in the blend is 7 to 8. How much Darjeeling tea is in 240 ounces of the blend? [A] 2 oz [B] 30 oz [C] 112 oz [D] 128 oz Obj WP: Determine a part, given part to whole ratio and a part, where the whole is greater than A garden supply company sells cages for tomatoes. The cages come in either black or silver. To decide how many of each color to stock, the purchaser looks at the sales from 3 last year. She finds that of the cages sold were silver. Last year the company sold 270 silver cages. How many cages were black? [A] 630 [B] 189 [C] 590 [D] A pizza vendor at an outdoor festival is going to sell slices of cheese pizza and slices of pepperoni pizza. He noticed last year that the ratio of cheese slices sold to total slices sold was 8:15 and that he sold 240 cheese slices. How many pepperoni slices did he sell last year? [A] 450 [B] 230 [C] 2 [D]

37 Topic 1 - Number Sense and Operations Obj WP: Determine a part, given part to part ratio and a part, where the whole is greater than All the children in an elementary school were asked how many cats and dogs they have. It was found that the ratio of cats to dogs is 47 to 28. The children have 140 dogs altogether. How many cats do the children have? [A] 83 [B] 223 [C] 375 [D] One day, the ratio of students in the seventh grade who ate the school lunch to students who brought a lunch was 33. If 132 students ate the school lunch, how many students 7 brought a lunch? [A] 28 [B] 5 [C] 35 [D] 4 Obj WP: Determine the whole, given part to whole ratio and a part, where the whole is greater than Volunteers for a political campaign gave out 16 of their flyers in one neighborhood. They 33 gave out the remaining 680 flyers in another neighborhood. What is the total number of flyers they gave out? [A] 640 [B] 1,408 [C] 1,320 [D] 1, There are 30 passengers in business class on an airplane. The ratio of business-class passengers to the total number of passengers on the plane is 2:9. How many passengers are on the plane? [A] 135 [B] 150 [C] 5 [D] 126 Obj WP: Determine the whole, given part to part ratio and a part, where the whole is greater than The ratio of fruit juice to sparkling water in a fruit punch recipe is 39 to 20. A bowl of punch is made using 80 ounces of sparkling water. How much punch is made? [A] 158 oz [B] 238 oz [C] 156 oz [D] 236 oz 28

38 Topic 1 - Number Sense and Operations 176. At a health club, the ratio of members who use a personal trainer to those who do not is 7:23. How many members does the club have if 399 members use a personal trainer? [A] 1,311 [B] 1,724 [C] 1,296 [D] 1,7 Obj WP: Determine a unit rate 177. After milking several cows by hand, a farmworker had collected 53.1 L of milk. It took the worker 59 minutes to milk the cows. On average, what was the rate at which the worker was able to get milk from the cows? [A] 0.6 L per minute [C] 0.8 L per minute [B] 0.7 L per minute [D] 0.9 L per minute 178. Anthony did not notice the unit price of the bananas he bought at a fruit stand. The scale at the checkout counter gave the weight of the bananas as 4.7 pounds, and they cost $3.43. What was the unit price of the bananas? [A] 74 per pound [B] 7.4 per pound [C] 73 per pound [D] 7.3 per pound Obj WP: Use a unit rate to solve a problem 179. Vito is running on a treadmill. The treadmill indicates that he is running at a speed of miles per minute. If he maintains a constant speed, about how far will Vito run in 20 minutes? [A] mi [B] 2.74 mi [C] mi [D] mi 180. A radio station has 0.25 minutes of advertising for every minute of programming. If Quenton has listened to 120 minutes of advertising, about how many minutes of programming has he listened to? [A] 30 min [B] min [C] min [D] 480 min 29

39 Topic 2 - Algebra Obj Evaluate a rational expression involving variables with two or more terms in the numerator or denominator 1. Evaluate: 8 + b if b = 3 and c = 3 [A] 3 2 c 3 [B] 7 [C] 1 3 [D] Evaluate: b c if b = 11 and c = 8 [A] 1 19 [B] 6 25 [C] 6 13 [D] 3 Obj Evaluate a 1-variable expression, with two or three operations, using integer substitution 3. Evaluate: x 6 if x = 6 [A] 54 [B] 66 [C] 96 [D] Evaluate: 7x 5x if x = 6 [A] 12 [B] 47 [C] 72 [D] 72 Obj Evaluate a 2-variable expression, with two or three operations, using integer substitution 5. Evaluate: 18 m + n if m = 6 and n = 1 [A] 2 [B] 2 [C] 4 [D] Evaluate: m m n + b g if m n = 8 and = 7 [A] 130 [B] 18 [C] 130 [D] 81 Obj Evaluate an algebraic expression involving whole number exponents 2 7. Evaluate: 3x + 2 if x = 4 [A] 26 [B] 51 [C] 50 [D] 146 b g Evaluate: x + y if x = and y = [A] 36 [B] 8 [C] 18 [D] 16 30

40 Topic 2 - Algebra Obj WP: Evaluate a variable expression 9. Mr. Nelson maintains a Web site. He has some photo albums that use 24 megabytes of space each. All of the other pages on his site use a total of 11 megabytes. Mr. Nelson can find out the total space used, in megabytes, by evaluating the expression 24x + 11, where x is the number of photo albums. If he has 7 photo albums, how much space does his Web site use? [A] 42 MB [B] 258 MB [C] 1 MB [D] 179 MB. Benni is on vacation with his family and he wants to buy key chains and T-shirts as souvenirs for his friends. The formula 5k + 11t represents how much money k key chains and t T-shirts cost. If Benni buys 3 key chains and 2 T-shirts, how much money will he spend? [A] $43 [B] $52 [C] $38 [D] $37 Obj WP: Evaluate a variable expression involving exponents 11. A cheerleader who is being held 3 feet off of the ground is tossed into the air with an initial speed of 32 feet per second. Her height (in feet) t seconds after she is thrown can be estimated by 3+ 32t 16t 2. About how high is the cheerleader 2 seconds after she is tossed? [A] 986 ft [B] 957 ft [C] 3 ft [D] 26 ft 12. A company produces fabric-covered units for storing hay. Each unit has the shape of a cylinder split in half lengthwise. The amount of fabric needed for a storage unit is given by 2 the formula A = 314. r rl, where r is the radius of each semicircular end of the storage unit, and l is the length of the unit. What is the amount of fabric needed to cover a storage unit if the radius is 13 feet and the length is 26 feet? 2 2 [A] ft [B] 1, ft [C] 4, ft [D] 1142,. 96 ft 13. A large vegetable bin at a farmer s market is in the shape of a rectangular prism. The bin is one and one half times as long as it is wide, and the height of the bin is equal to the width. The volume of the bin is given by the formula V = 15. x 3, where x is the width of the bin. What is the volume of a bin with a width of 5 feet? [A] ft 3 [B] ft 3 [C] ft 3 [D] ft

41 Topic 2 - Algebra Obj Answer a question involving algebraic terminology 14. Identify the algebraic inequality. [A] 1 18 [B] c + 18 d 2 [C] c +18 d [D] c + 18 d = What is the variable in 8p 13? [A] 8 [B] 8p [C] p [D] 13 Obj Use a variable expression to represent the relationship between the terms and their positions in an arithmetic sequence 16. Which expression can be used to find the value of the nth term in the sequence? Position n Value of Term [A] n [B] n [C] 35n 32 [D] 8n Which expression can be used to find the value of the nth term in the sequence? Position n Value of Term [A] 4n [B] 33n 5 3 [C] n + [D] 6n Obj Use a variable expression with two operations to represent a table of paired numbers 18. Which expression can be used to calculate the output values in this table? Input ( n) Output (?) [A] 4 + 6n [B] 9 + n [C] 5+ 5n [D] 7n

42 Topic 2 - Algebra 19. Which expression can be used to calculate the output values in this table? Input ( n) Output (?) [A] 4n + 9 [B] 2n 3 [C] n [D] 6 + 3n Obj WP: Use a 2-variable expression to represent a situation 20. One month, Emmet earned x dollars delivering newspapers and y dollars for doing household chores. He worked 30 days that month. Which expression represents Emmet s average daily income during the month? [A] x + 30 y [B] 30 x + y b g [C] x y 30 + [D] x + y Last month, a warehouse received 226 large shipments of n items each. The items were then repackaged for distribution to stores. Then the warehouse sent 378 smaller shipments of m items each to various stores. Which expression represents the number of items the warehouse received last month that have not been shipped to stores yet? [A] 378n 226m [B] 226m 378n [C] 226n 378m [D] 378m 226n Obj WP: Use direct variation to solve a problem 22. A spring is suspended from a hook. When a weight is attached to the spring, the length the spring stretches varies directly with the weight attached to it. A 5-pound weight stretches the spring 3 inches. How much is the spring stretched by a 25-pound weight? [A] 42 in. [B] 8 in. [C] 15 in. [D] 30 in. 23. A rocket engine uses a chemical called an oxidizer to provide the oxygen needed to burn its fuel. The rate at which the oxidizer is used varies directly with the rate at which the fuel is used. A certain engine uses oxidizer at the rate of 7 pounds per second when it uses fuel at the rate of 3 pounds per second. What is the rate at which the engine uses oxidizer when it is using 15 pounds of fuel per second? [A] 35 lb sec [B] 36 lb sec [C] 17.5 lb sec [D] 6 lb sec 33

43 Topic 2 - Algebra Obj Solve a 1-step linear equation involving integers 24. Solve: 43+ b = 23 [A] b = 66 [B] b = 66 [C] b = 20 [D] b = Solve: 11s = 77 [A] s = 847 [B] s = 7 [C] s = 7 [D] s = 847 Obj Use a model to solve a 2-step linear equation involving integers 26. The model below represents the equation 2 + 2x = 6. What is the value of x? [A] x = 3 [B] x = 1 [C] x = 4 [D] x = The model below represents the equation 2x 3 = x + 1. What is the value of x? [A] x = 2 [B] x = 2 [C] x = 4 [D] x = 4 Obj. 0 - Solve a 2-step linear equation involving integers 28. Solve: 25 = 15+ 5y [A] y = 2 [B] y = 8 [C] y = 8 [D] y = 2 34

44 Topic 2 - Algebra 29. Solve: z 4 = 26 [A] z = 64 [B] z = 144 [C] z = 64 [D] z = 144 Obj. 1 - WP: Use a 1-variable 1-step equation to represent a situation 30. A school band raised $208 by holding a car wash. The band washed 32 cars in all. Which equation can be used to find n, the average amount they earned per car? [A] 32n = 208 [B] 32 n = 208 [C] n = 208 [D] n = 31. Oliver had $49 when he went to a video store. He had $15 left after buying some DVDs. Which equation can be used to find a, the amount Oliver spent on DVDs? [A] a 15 = 49 [B] 49 a = 15 [C] 49 + a = 15 [D] 15 a = 49 Obj. 2 - Use a table to represent a linear function 32. Which table shows three solutions of the function y = 6 x + 7? [A] x y [B] x y [C] x y [D] x y Which table shows three solutions of the function y = 5x 7? [A] x y [B] x y [C] x y [D] x y

45 Topic 2 - Algebra Obj. 3 - Use a graph to represent the ordered pairs in a function table 34. Which graph shows the ordered pairs from the table? x y [A] y [B] y x x [C] y [D] y x x 35. Which graph shows the ordered pairs from the table? x y

46 Topic 2 - Algebra [A] y x [B] y x [C] y x [D] y x (35.) 37

47 Topic 2 - Algebra Obj. 4 - Determine the graph of a 1-operation linear function 36. Which graph represents solutions of the equation y = x + 3? [A] y [B] y x x [C] y [D] y x x 38

48 Topic 2 - Algebra 37. Which graph represents solutions of the equation y x = 3? [A] y [B] y x x [C] y [D] y x x 39

49 Topic 3 - Geometry and Measurement Obj. 5 - Convert between Fahrenheit and Celsius temperature given a formula 1. One year, the temperature in Birmingham was 43 F on January 3. What is that temperature 5 to the nearest tenth in degrees Celsius? Use the formula C = bf 32g. 9 [A] 1.1 C [B] 6.1 C [C] 11 C [D] 19.8 C 2. One year, the temperature in Louisville was 28 C on July 8. What is that temperature to the 9 nearest tenth in degrees Fahrenheit? Use the formula F = C [A] 18.4 F [B] 78.4 F [C] 8 F [D] 82.4 F Obj. 6 - Determine the circumference of a circle using 22/7 for pi 3. What is the circumference of a circle that has a radius of inches? Use 7 for π. [A] in. [B] 12 in. [C] 3 in. [D] 6 in. 4. What is the circumference of a circle that has a diameter of cm? Use 7 for π. [A] 12 cm [B] 9 cm [C] 6 cm [D] 3 cm Obj. 7 - Determine the circumference of a circle in terms of pi 5. The diameter of a circle is 9. 2 feet. What is the circle s circumference in terms of π? [A] 9. 2π ft [B] 18. 4π ft [C] 212. π ft [D] 4. 6π ft 6. The radius of a circle is mm. What is the circle s circumference in terms of π? [A] π mm [B] 7π mm [C] π mm [D] π mm 40

50 Topic 3 - Geometry and Measurement Obj. 8 - Solve a problem involving the circumference of a circle 7. The circumference of a circle is 32π cm. What is the radius of the circle? [A] 32 cm [B] 16 cm [C] 64 cm [D] 30 cm 8. The circumference of one circle is five times as large as the circumference of a second circle. What is the ratio of the radius of the first circle to the radius of the second circle? [A] 5 to 1 [B] to 1 [C] 1 to π [D] 1 to 5 Obj. 9 - Determine the area of a trapezoid 9. What is the area of the trapezoid? 20.6 m 14.9 m.4 m (not drawn to scale) 32.4 m [A] m [B] m [C] m [D] m. What is the area of the trapezoid? 13 in. (not drawn to scale) 2 11 in. [A] in. 2 in [B] in [C] 33 2 in [D] in 41

51 Topic 3 - Geometry and Measurement Obj. 1 - Estimate the area of an irregular shape or a circle on a grid 11. Which value is the best estimate of the area of the circle? [A] 49 square units [B] 46 square units [C] 61 square units [D] 70 square units 12. Which value is the best estimate of the area of the figure? [A] 30 square units [B] 29 square units [C] 49 square units [D] 38 square units Obj Determine the area of a circle in terms of pi 13. The diameter of a circle is 40 mm. What is the area of the circle in terms of π? [A] 40π mm [B] 20π mm [C] 400π mm [D] 1, 600π mm 14. The radius of a circle is 1.5 cm. What is the area of the circle in terms of π? [A] 9π cm [B] 3π cm [C] 15. π cm [D] 2. 25π cm