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

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

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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 - 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. 11 - Divide a whole number by a fraction, with a whole number quotient...5 Obj. 12 - Divide a fraction by a whole number resulting in a fractional quotient...5 Obj. 13 - Divide a fraction by a fraction...5 Obj. 14 - Divide a whole number by a fraction resulting in a fractional quotient...5 Obj. 15 - Divide a mixed number by a fraction...6 Obj. 16 - Divide a mixed number by a mixed number...6 Obj. 17 - WP: Use a numerical expression to represent a situation involving fraction multiplication and/or division...6

Obj. 18 - WP: Multiply or divide a fraction by a fraction...7 Obj. 19 - WP: Multiply or divide two mixed numbers or a mixed number and a fraction...7 Obj. 20 - WP: Solve a 2-step problem involving fractions...8 Obj. 21 - Estimate the product of a fraction and a whole number...8 Obj. 22 - Estimate the quotient of a whole number divided by a fraction...9 Obj. 23 - WP: Estimate the result of dividing or multiplying a whole number by a fraction...9 Obj. 24 - Multiply a decimal number greater than one by a decimal number to thousandths that has only 1 nonzero digit...9 Obj. 25 - Multiply decimal numbers greater than one where the product has 2 or 3 decimal places... Obj. 26 - WP: Multiply two decimal numbers to thousandths... Obj. 27 - Divide a 1- to 3-digit whole number by a decimal number to tenths where the quotient is a decimal number to thousandths... Obj. 28 - Divide a 2- or 3-digit whole number by a decimal number to hundredths or thousandths, rounded quotient if needed...11 Obj. 29 - Divide a decimal number by a decimal number through thousandths, rounded quotient if needed...11 Obj. 30 - WP: Divide a whole number by a decimal number through thousandths, rounded quotient if needed...11 Obj. 31 - WP: Divide a decimal through thousandths by a decimal through thousandths, rounded quotient if needed...11 Obj. 32 - WP: Estimate the quotient of two decimals...12 Obj. 33 - WP: Use a numerical expression to represent a situation involving decimal multiplication and/or division...12 Obj. 34 - WP: Solve a 2-step problem involving decimals...13 Obj. 35 - Determine the whole number that can be squared to make a given number...13 Obj. 36 - Evaluate the positive square root of a perfect square...13 Obj. 37 - Determine the exponential notation that represents a repeated multiplication...13 Obj. 38 - Determine the repeated multiplication that is represented by a number raised to a power...14 Obj. 39 - Evaluate a whole number power of a whole number...14 Obj. 40 - Determine an exponential form of a whole number...14 Obj. 41 - Evaluate an expression containing the fraction bar as the division sign...14 Obj. 42 - Evaluate a numerical expression, with parentheses and exponents, using order of operations...15 Obj. 43 - Convert a decimal number to a percentage greater than 0%...15 Obj. 44 - Convert a percentage to a decimal number greater than 1...15

Obj. 45 - Convert a decimal number in thousandths to a percentage...15 Obj. 46 - Convert a percentage to a decimal number in thousandths...16 Obj. 47 - Convert a mixed number to a percentage...16 Obj. 48 - Convert a percentage to a mixed number...16 Obj. 49 - Determine a percent of a whole number using less than 0%...16 Obj. 50 - Determine a percent of a whole number using more than 0%...17 Obj. 51 - Determine the percent a whole number is of another whole number, with a result less than 0%...17 Obj. 52 - Determine a whole number given a part and a percentage less than 0%...17 Obj. 53 - WP: Determine a percent of a whole number using less than 0%...17 Obj. 54 - WP: Determine the percent a whole number is of another whole number, with a result less than 0%...18 Obj. 55 - WP: Determine a whole number given a part and a percentage...18 Obj. 56 - WP: Determine the percent of decrease applied to a number...18 Obj. 57 - WP: Determine the percent of increase applied to a number...19 Obj. 58 - WP: Determine the result of applying a percent of decrease to a value...19 Obj. 59 - WP: Determine the result of applying a percent of increase to a value...19 Obj. 60 - WP: Answer a question involving a fraction and a percent...20 Obj. 61 - WP: Answer a question involving a fraction and a decimal...20 Obj. 62 - WP: Solve a multi-step problem involving decimal numbers...21 Obj. 63 - WP: Solve a multi-step problem involving fractions or mixed numbers...21 Obj. 64 - Evaluate the absolute value of an integer...22 Obj. 65 - Determine the opposite of an integer...22 Obj. 66 - Compare two negative integers or a negative integer and a positive integer...22 Obj. 67 - Order negative integers or a mix of positive and negative integers...22 Obj. 68 - Add integers using a number line...23 Obj. 69 - Add integers using a model...23 Obj. 70 - Add integers...24 Obj. 71 - Subtract integers using a number line...24 Obj. 72 - Subtract integers...24 Obj. 73 - WP: Add and subtract using integers...24

Obj. 74 - Multiply integers...25 Obj. 75 - Divide integers...25 Obj. 76 - WP: Multiply or divide integers...25 Obj. 77 - WP: Determine the ratio of two whole numbers, at least one of which is larger than 50...26 Obj. 78 - Determine ratios equivalent to a given ratio of two whole numbers, at least one of which is larger than 50...26 Obj. 79 - WP: Determine a part, given part to whole ratio and the whole, where the whole is greater than 50...26 Obj. 80 - WP: Determine a part, given part to part ratio and the whole, where the whole is greater than 50...27 Obj. 81 - WP: Determine a part, given part to whole ratio and a part, where the whole is greater than 50...27 Obj. 82 - WP: Determine a part, given part to part ratio and a part, where the whole is greater than 50...28 Obj. 83 - WP: Determine the whole, given part to whole ratio and a part, where the whole is greater than 50...28 Obj. 84 - WP: Determine the whole, given part to part ratio and a part, where the whole is greater than 50...28 Obj. 85 - WP: Determine a unit rate...29 Obj. 86 - WP: Use a unit rate to solve a problem...29 Topic 2 - Algebra...30 Obj. 87 - Evaluate a rational expression involving variables with two or more terms in the numerator or denominator...30 Obj. 88 - Evaluate a 1-variable expression, with two or three operations, using integer substitution...30 Obj. 89 - Evaluate a 2-variable expression, with two or three operations, using integer substitution...30 Obj. 90 - Evaluate an algebraic expression involving whole number exponents...30 Obj. 91 - WP: Evaluate a variable expression...31 Obj. 92 - WP: Evaluate a variable expression involving exponents...31 Obj. 93 - Answer a question involving algebraic terminology...32 Obj. 94 - Use a variable expression to represent the relationship between the terms and their positions in an arithmetic sequence...32 Obj. 95 - Use a variable expression with two operations to represent a table of paired numbers...32 Obj. 96 - WP: Use a 2-variable expression to represent a situation...33 Obj. 97 - WP: Use direct variation to solve a problem...33 Obj. 98 - Solve a 1-step linear equation involving integers...34 Obj. 99 - 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

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. 111 - Determine the area of a circle in terms of pi...42 Obj. 112 - Determine the area of a circle using 3.14 for pi...43 Obj. 113 - Determine the area of a circle using 22/7 for pi...43 Obj. 114 - WP: Determine the area of a circle using 3.14 for pi...44 Obj. 115 - Solve a problem given the area of a circle...44 Obj. 116 - Determine the volume of a rectangular or a triangular prism...44 Obj. 117 - Determine the volume of a cylinder...45 Obj. 118 - WP: Determine the volume of a cylinder...46 Obj. 119 - WP: Solve a problem involving the volume of a geometric solid...47 Obj. 120 - Determine the net of the surface area of a 3-dimensional figure...49 Obj. 121 - Determine the graph of the relationship between measurements in a geometric shape...50 Obj. 122 - Identify corresponding parts of congruent shapes...54 Obj. 123 - Identify congruent shapes given side and angle measures...55 Obj. 124 - Determine a missing dimension given two congruent shapes...56 Obj. 125 - Identify similar polygons...58 Obj. 126 - Determine the scale for a drawing or map question...59 Obj. 127 - WP: Solve a problem involving a map or scale drawing...60 Obj. 128 - Convert a rate from one unit to another with a change in one unit...61

Obj. 129 - Convert a rate from one unit to another with a change in both units...61 Obj. 130 - Determine approximate conversions between metric and customary units of length...61 Obj. 131 - Determine approximate conversions between metric and customary units of capacity...61 Obj. 132 - Determine approximate conversions between metric and customary units of weight/mass...62 Obj. 133 - Identify vertical, adjacent, complementary, or supplementary angles...62 Obj. 134 - Determine the measure of a missing angle using angle relationships...63 Obj. 135 - Classify a triangle by its sides and angles...64 Obj. 136 - Know the properties of a triangle or a quadrilateral...65 Obj. 137 - Determine the location of an ordered pair in any quadrant...65 Obj. 138 - Determine the ordered pair of a point in any quadrant...66 Obj. 139 - Determine the location of a simple shape on the Cartesian plane given the coordinates of its vertices...67 Obj. 140 - Determine the coordinates of a missing point determined by geometric information...68 Obj. 141 - Determine a side length of a shape on the Cartesian plane...69 Obj. 142 - Determine the area of a shape on the Cartesian plane...70 Obj. 143 - Determine the graph of a reflection or a translation...71 Obj. 144 - Visualize a 2-dimensional shape...73 Obj. 145 - Identify attributes of a 3-dimensional shape...73 Obj. 146 - Compare attributes of 3-dimensional shapes...73 Obj. 147 - Relate a 3-dimensional shape to its top and side views...74 Topic 4 - Data Analysis, Statistics, and Probability...76 Obj. 148 - Answer a question using information from a circle graph using percentage calculations...76 Obj. 149 - Use a circle graph to organize data...77 Obj. 150 - Read a double stem-and-leaf plot...80 Obj. 151 - Answer a question using information from a double stem-and-leaf plot...81 Obj. 152 - Answer a question using information from a Venn diagram containing summarized data...82 Obj. 153 - Determine the mean of a set of data...83 Obj. 154 - Determine the mode(s) of a set of data...83 Obj. 155 - Determine the median of a set of data...83 Obj. 156 - WP: Use the mean of a data set to solve a problem...84

Obj. 157 - Use a proportion to make an estimate, related to a population, based on a sample...84 Obj. 158 - Determine all possible outcomes of an event...85 Obj. 159 - Determine the probability for independent events...87

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, 0. 715, [B] 23 17 12 16 17, 23, 0. 715 16 12,, 23 17 0. 715 12 [D] 0. 715,, 17 2. Which list shows the numbers in order from greatest to least? 5 5 [A] 0. 278, 27%, [B] 0. 278,, 27% 19 19 5 5 [C] 27%, 0. 278, [D] 27%,, 19 19 0. 278 Obj. 2 - Multiply a proper fraction by a whole number using a model 16 23 3. There are 12 circles. Separate the circles into 4 equal groups to find 1 4 12. [A] 12 [B] 2 [C] 48 [D] 3 1

Topic 1 - Number Sense and Operations 4. Find 2 6 9. 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: 6 7 2 (Simplify the answer if possible.) [A] 1 1 7 [B] 1 5 7 [C] 2 5 7 [D] 3 5 7 6. Multiply: 68 2 (Simplify the answer if possible.) 7 [A] 20 3 7 [B] 97 3 7 [C] 19 3 7 [D] Obj. 4 - Multiply a fraction by a fraction 7. Multiply: 3 4 1 [A] 3 2 9 [B] 1 12 [C] 1 4 [D] 1 5 8. Multiply: 5 8 7 [A] 18 35 144 [B] 23 96 [C] 7 24 [D] 35 153 2

Topic 1 - Number Sense and Operations Obj. 5 - Multiply a mixed number by a whole number 9. Multiply: 1 1 [A] 9 1 5 5 [B] 1 5 [C] 12 [D] 13. Multiply: 9 17 36 [A] 324 17 18 18 [B] 358 [C] 333 17 18 [D] 356 Obj. 6 - Multiply a mixed number by a fraction 11. Multiply: 4 5 5 [A] 4 [B] 5 8 11 11 [C] 4 6 11 [D] 4 8 11 12. Multiply: 11 4 4 [A] 1 3 16 11 16 [B] 3 [C] 1 7 8 [D] 2 153 176 Obj. 7 - Multiply a mixed number by a mixed number 13. Multiply: 1 7 8 4 1 [A] 4 1 3 3 [B] 4 7 24 [C] 8 1 8 [D] 8 1 12 14. Multiply: 11 6 1 [A] 65 9 20 20 [B] 66 [C] 60 1 22 [D] 60 1 20 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] 1 16. What is the reciprocal of 7? [A] 0 49 [B] 7 [C] 7 [D] 7 3

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] 3 13 18. What is the reciprocal of 3 8 19? [A] 19 64 [B] 19 30 [C] 65 19 [D] 19 65 Obj. - Divide a whole number by a fraction, with a whole number quotient using a model 19. Use the diagram to find 3 3. 5 [A] 4 [B] 5 [C] 6 5 [D] 1 5 1 1 1 3 5 20. Use the number line to find 5 5. 6 5 6 0 1 2 3 4 5 [A] 1 6 [B] 5 [C] 6 [D] 5 3 4

Topic 1 - Number Sense and Operations Obj. 11 - 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] 1 70 22. Divide: 60 5 (Simplify the answer if possible.) 6 [A] 78 [B] 72 [C] 50 [D] 1 72 Obj. 12 - Divide a fraction by a whole number resulting in a fractional quotient 23. Divide: 2 3 5 [A] 2 15 [B] 3 [C] 1 9 [D] 15 2 24. Divide: 3 16 7 [A] 1 32 [B] 21 16 [C] 3 112 [D] 112 3 Obj. 13 - Divide a fraction by a fraction 25. Divide: 3 4 5 [A] 7 20 21 [B] 1 1 20 [C] 15 28 [D] 9 26. Divide: 3 2 [A] 14 3 3 14 [B] 1 7 [C] 3 1 9 [D] 9 28 Obj. 14 - Divide a whole number by a fraction resulting in a fractional quotient 27. Divide: 11 3 [A] 7 3 77 [B] 25 2 3 [C] 29 1 3 [D] 4 5 7 28. Divide: 9 17 [A] 20 17 180 [B] 1 17 [C] 17 [D] 7 13 20 5

Topic 1 - Number Sense and Operations Obj. 15 - Divide a mixed number by a fraction 29. Divide: 1 3 7 [A] 3 [B] 2 [C] 2 1 11 11 5 [D] 98 121 30. Divide: 4 7 4 [A] 2 24 7 35 [B] 7 21 44 [C] 40 329 [D] 8 9 40 Obj. 16 - Divide a mixed number by a mixed number 31. Divide: 1 3 20 4 7 [A] 3 79 16 92 [B] 92 355 [C] 5 33 320 [D] 46 175 32. Divide: 3 7 20 2 4 [A] 1 17 7 60 [B] 360 469 [C] 1 9 360 [D] 8 43 70 Obj. 17 - 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 16 1 4 ounces of salsa. The recipe makes a total of 146 1 4 ounces of salsa. Which expression represents the number of jars Carlota can fill with salsa? [A] 16 1 4 146 1 [B] 146 1 4 4 16 1 [C] 16 1 4 4 146 1 [D] 146 1 4 4 16 1 4 34. 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] 3 7 5 [B] 5 3 [C] 5+ 3 [D] 5 3 7 7 7 6

Topic 1 - Number Sense and Operations Obj. 18 - 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. 19 - WP: Multiply or divide two mixed numbers or a mixed number and a fraction 37. A family s garden covers an area of 26 2 2 m. They are using 19 of the garden to grow 5 20 vegetables. How many square meters are being used to grow vegetables? [A] 24 2 25 2 m [B] 25 9 20 2 m [C] 25 2 25 2 m [D] 19 528 2 m 38. To finish building cabinets, a carpenter needs to cut pieces of wood 19 1 8 inches long. The carpenter will cut the pieces from a board that is 114 3 4 inches long. How many pieces will the carpenter be able to cut for the cabinets? [A] 6 [B] 16 [C] 7 [D] 133 7

Topic 1 - Number Sense and Operations Obj. 20 - 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] 1 1 3 mi [C] 3 2 3 mi [D] 2 2 3 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] 16 1 2 hr [B] 15 1 2 hr [C] 4 5 hr [D] 7 1 2 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. 21 - 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] 90 43. Which number is a reasonable estimate for 2 3 355? [A] 30 [B] 120 [C] 240 [D] 180 8

Topic 1 - Number Sense and Operations Obj. 22 - 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] 600 45. Which number is a reasonable estimate for 75 4? 5 [A] 95 [B] 60 [C] 72 [D] 76 Obj. 23 - 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] 90 47. 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. 24 - Multiply a decimal number greater than one by a decimal number to thousandths that has only 1 nonzero digit 48. Multiply: 0. 6 6. 63 [A] 397.8 [B] 0.3978 [C] 3.978 [D] 39.78 49. 4. 69 0. 004 [A] 0.1876 [B] 0.01876 [C] 0.00188 [D] 1.876 9

Topic 1 - Number Sense and Operations Obj. 25 - Multiply decimal numbers greater than one where the product has 2 or 3 decimal places 50. Multiply: 7. 3 12. [A] 9.76 [B] 0.876 [C] 8.86 [D] 8.76 51. Multiply: 6. 77 7. 8 [A] 5,280.6 [B] 52.806 [C] 52.816 [D] 528.06 52. 11. 231. [A] 254.321 [B] 25,433.1 [C] 254.33 [D] 254.331 Obj. 26 - 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] 0. 270 ft [B] 0809. ft [C] 0505. ft 3 [D] 0. 909 ft 55. One cubic inch of the copper an artist is using weighs 0.322 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] 14.626 lb [C] 9.988 lb [D] 14.726 lb Obj. 27 - 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: 11 0. 4 [A] 28.5 [B] 2.75 [C] 27.5 [D] 2.85 3 57. Divide: 63 4. 8 [A] 131.25 [B] 13.125 [C] 14.125 [D] 141.25 58. Divide: 501 16. [A] 313.125 [B] 31.4125 [C] 314.125 [D] 31.3125

Topic 1 - Number Sense and Operations Obj. 28 - Divide a 2- or 3-digit whole number by a decimal number to hundredths or thousandths, rounded quotient if needed 59. Divide: 89 0. 04 [A] 21,250 [B] 2,225 [C] 2,125 [D] 22,250 60. Divide: 732 0. 2 [A] 36,600 [B] 3,560 [C] 3,660 [D] 35,600 61. Divide: 731 0. 89 [A] 921.348 [B] 821.035 [C] 821.348 [D] 821.304 Obj. 29 - Divide a decimal number by a decimal number through thousandths, rounded quotient if needed 62. Divide: 3982. 0. 07 [A] 5.786 [B] 56.875 [C] 0.775 [D] 56.886 63. Divide: 0. 979 0. 036 [A] 2.093 [B] 27.194 [C] 0.084 [D] 27.184 Obj. 30 - 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] 15 65. Jack has $32.00. 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. 31 - 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 5566. 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

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 684.6-ounce supply of this plastic? [A] 12,220 [B] 1,222 [C] 383 [D] 1,226 68. A company packages pencil lead for mechanical pencils. The pencil lead is packaged in lengths of 0.025 m. How many of these shorter pieces can be cut from a strip of pencil lead that is 1.575 m long? [A] 63 [B] 41 [C] 39 [D] 15 Obj. 32 - 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 205.3 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] 55 70. 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 0.0023 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. 33 - 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] 0 37. 6 [B] 0 37. 6 [C] 37. 6 0 [D] 37. 6 0 72. 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] 345. + 125 [B] 125 3. 45 [C] 125 345. [D] 345. 125 12

Topic 1 - Number Sense and Operations Obj. 34 - 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] 378.9 g [C] 8,190 g [D] 81,900 g Obj. 35 - 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] 128 76. A whole number was squared. The result was 144. What was the original number? [A] 6 [B] 288 [C] 72 [D] 12 Obj. 36 - Evaluate the positive square root of a perfect square 77. Evaluate: 9 [A] 4.5 [B] 6 [C] 3 [D] 0.3 78. Evaluate: 144 [A] 12 [B] [C] 6 [D] 72 Obj. 37 - 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] 7 2 80. Which expression is equivalent to 7 7 7 7 7 7? [A] 7 6 [B] 7 5 [C] 6 7 [D] 7 6 13

Topic 1 - Number Sense and Operations Obj. 38 - 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] 3 3 3 [C] 3 3 3 3 [D] 4 4 4 82. Which expression can be represented by 3 7? [A] 3 3 3 3 3 3 [B] 3 3 3 3 3 3 3 [C] 7 7 7 [D] 3 7 Obj. 39 - Evaluate a whole number power of a whole number 83. Evaluate: 4 5 [A] 4,096 [B] 20 [C] 1,024 [D] 625 84. Evaluate: 7 [A] 1,000,000 [B],000,000 [C] 0,000,000 [D] 0,000 Obj. 40 - Determine an exponential form of a whole number 85. 81= [A] 3 4 [B] 4 3 [C] 5 3 [D] 3 5 86. 1, 000, 000, 000 = [A] 8 [B] 9 [C] 8 [D] 9 Obj. 41 - Evaluate an expression containing the fraction bar as the division sign 87. Evaluate: 24 6 2 88. Evaluate: 20 8 4 2 [A] 6 [B] 2 [C] 8 [D] 7 [A] 7 [B] 6 [C] 2 [D] 1 14

Topic 1 - Number Sense and Operations Obj. 42 - Evaluate a numerical expression, with parentheses and exponents, using order of operations 89. Evaluate: F 2 19 3 + 11 2 HG I K J b g [A] 21 1 2 [B] 15 1 2 [C] 2 1 2 [D] 1 2 90. Evaluate: 3+ b16 6g 2 [A] 3 1 3 [B] 177 7 9 [C] 15 2 3 [D] 36 2 3 91. Evaluate: b14 4g 17 + 8 3 [A] 444 [B] 458 [C] 746 [D] 682 Obj. 43 - Convert a decimal number to a percentage greater than 0% 92. What percentage can be written as 1.56? [A] 0.56% [B] 0.0156% [C] 1,560% [D] 156% 93. What percentage can be written as 3.74? [A] 0.0374% [B] 300.74% [C] 374% [D] 3,740% Obj. 44 - Convert a percentage to a decimal number greater than 1 94. What decimal can be written as 283%? [A] 2.38 [B] 0.283 [C] 2.83 [D] 28.3 95. What decimal can be written as 534%? [A] 5.34 [B] 53.4 [C] 54.3 [D] 534.0 Obj. 45 - Convert a decimal number in thousandths to a percentage 96. What is 0.215 as a percent? [A] 0.215% [B] 0.0215% [C] 215% [D] 21.5% 97. What is 5.576 as a percent? [A] 55.76% [B] 5,576% [C] 557.6% [D] 55,760% 15

Topic 1 - Number Sense and Operations Obj. 46 - Convert a percentage to a decimal number in thousandths 98. What is 69.1% as a decimal? [A] 0.619 [B] 6.190 [C] 6.9 [D] 0.691 99. What is 532.8% as a decimal? [A] 53.280 [B] 5.328 [C] 5.382 [D] 0.533 Obj. 47 - Convert a mixed number to a percentage 0. What is 4 2 5 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. 48 - Convert a percentage to a mixed number 2. Which number can be used to represent 565%? [A] 5 13 20 [B] 113 200 3. Which number can be used to represent 123%? [A] 123 1,000 [B] 1 23 0 [C] 56 1 5 [C] 23 0 [D] 56 1 2 [D] 12 3 Obj. 49 - Determine a percent of a whole number using less than 0% 4. What is 73% of 78? [A] 7.8 [B].14 [C] 569.4 [D] 56.94 5. What is 22% of 249? [A] 54.78 [B] 5.478 [C] 5,478 [D] 8.84 16

Topic 1 - Number Sense and Operations Obj. 50 - Determine a percent of a whole number using more than 0% 6. What is 119% of 44? [A] 27.04 [B] 270.45 [C] 52.36 [D] 36.97 7. What is 348% of 939? [A] 3,267.72 [B] 269.83 [C] 3.71 [D] 37.06 Obj. 51 - 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. 52 - Determine a whole number given a part and a percentage less than 0% 1. 12 is 30% of what number? [A] 3.6 [B] 42 [C] 40 [D] 17 111. 32% of what number is 157.44? [A] 189.44 [B] 492 [C] 50.38 [D] 494 Obj. 53 - WP: Determine a percent of a whole number using less than 0% 112. Ben is planning to buy a computer that costs $825.00 retail. If he buys it online, he will save 14%. How much will he save if he buys the computer online? [A] $589.29 [B] $58.93 [C] $11.55 [D] $115.50 113. 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

Topic 1 - Number Sense and Operations Obj. 54 - 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. 55 - 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] 17 117. 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. 56 - 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

Topic 1 - Number Sense and Operations Obj. 57 - 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. 58 - 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] $8.30 123. 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. 59 - 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] $.61 125. 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

Topic 1 - Number Sense and Operations Obj. 60 - 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] 9 127. 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. 61 - 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 4 4 5 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] 8 2 5 mi [C] 1 31 0 mi [D] 8 4 5 mi 129. A penny has a thickness of 0.155 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 12 2 5 cm? [A] 12 [B] 13 [C] 77 [D] 80 20

Topic 1 - Number Sense and Operations Obj. 62 - 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] 138.25 mi [B] 197.75 mi [C] 302.75 mi [D] 230.25 mi 131. Nikos, Sean, Ricky, and Pedro each swam 2 laps in a relay race. Nikos swam his laps with an average time of 37.25 seconds per lap. Sean swam his laps with an average time of 40.11 seconds per lap. After that, Ricky swam his laps with an average time of 39.62 seconds per lap. Finally, Pedro completed the relay with an average time of 36.25 seconds per lap. How long did it take the four swimmers to complete the relay? [A] 306.46 s [B] 612.92 s [C] 153.23 s [D] 155.23 s Obj. 63 - 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 2 3 4 hours each time. The next week, the band practiced 5 times for 3 1 4 hours each time. How many hours did the band practice these two weeks? [A] 5 1 4 hr [B] 15 hr [C] 16 1 4 hr [D] 27 1 4 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] 4 1 20 hr [B] 29 3 5 hr [C] 5 11 20 hr [D] 3 1 20 hr 21

Topic 1 - Number Sense and Operations 134. Mrs. Evans picked tomatoes from her garden to make 18 cups of chopped tomatoes. She used 6 1 3 cups of the chopped tomatoes to make spaghetti sauce and 2 1 2 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] 4 5 12 cups [B] 4 7 12 Obj. 64 - Evaluate the absolute value of an integer cups [C] 3 7 12 cups [D] 9 1 6 cups 135. Evaluate: 28 [A] 1 28 [B] 28 [C] 28 [D] 1 28 136. Evaluate: 77 [A] 1 77 [B] 77 [C] 1 77 [D] 77 Obj. 65 - Determine the opposite of an integer 137. What is the opposite of 9? [A] 1 9 [B] 9 [C] 9 [D] 1 9 138. What is the opposite of 35? [A] 35 [B] 1 35 [C] 35 [D] 1 35 Obj. 66 - 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 < 19 140. Which statement is true? [A] 16 > 12 [B] 16 > [C] 12 < Obj. 67 - 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

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. 68 - Add integers using a number line 143. Use the number line to find the sum: 8 + 4 9 8 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8 9 [A] 4 [B] 4 [C] 12 [D] 12 144. Use the number line to find the sum: 6 +b 4g 9 8 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8 9 [A] [B] 2 [C] [D] 2 Obj. 69 - 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] 12 146. 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

Topic 1 - Number Sense and Operations Obj. 70 - Add integers 147. Add: 2 + b 3g [A] 1 [B] 5 [C] 1 [D] 5 148. Add: 22 + 16 [A] 6 [B] 38 [C] 6 [D] 38 Obj. 71 - Subtract integers using a number line 149. Use the number line to find the difference: 2 b 3g 14 12 8 6 4 2 0 2 4 6 8 12 14 [A] 5 [B] 1 [C] 1 [D] 5 150. Use the number line to find the difference: 2 14 12 8 6 4 2 0 2 4 6 8 12 14 [A] 8 [B] 12 [C] 12 [D] 8 Obj. 72 - Subtract integers 151. Subtract: 2 b 6g [A] 4 [B] 4 [C] 8 [D] 8 152. Subtract: 20 b 42g [A] 22 [B] 62 [C] 62 [D] 22 Obj. 73 - 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

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. 74 - Multiply integers 155. Multiply: b 5gb3g [A] 2 [B] 15 [C] 2 [D] 15 156. Multiply: b 6gb 7g [A] 13 [B] 42 [C] 13 [D] 42 Obj. 75 - Divide integers 157. Divide: 32 b 8g [A] 4 [B] 24 [C] 4 [D] 24 158. Divide: 60 b 2g [A] 29 [B] 30 [C] 29 [D] 30 Obj. 76 - 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

Topic 1 - Number Sense and Operations Obj. 77 - WP: Determine the ratio of two whole numbers, at least one of which is larger than 50 161. 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] 48:19 162. 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] 15 14 [B] 22 21 Obj. 78 - Determine ratios equivalent to a given ratio of two whole numbers, at least one of which is larger than 50 [C] 15 7 [D] 14 15 163. Which two ratios are equivalent to 7:2? [A] 42 900 and 14 420 [B] 1 30 and 14 420 [C] 14 60 and 6 180 [D] 1 30 and 14 60 164. 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. 79 - WP: Determine a part, given part to whole ratio and the whole, where the whole is greater than 50 165. 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

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. 80 - WP: Determine a part, given part to part ratio and the whole, where the whole is greater than 50 167. 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] 55 168. 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. 81 - WP: Determine a part, given part to whole ratio and a part, where the whole is greater than 50 169. 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] 81 170. 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] 112 27

Topic 1 - Number Sense and Operations Obj. 82 - WP: Determine a part, given part to part ratio and a part, where the whole is greater than 50 171. 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] 235 172. 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. 83 - WP: Determine the whole, given part to whole ratio and a part, where the whole is greater than 50 173. 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] 1,403 174. 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. 84 - WP: Determine the whole, given part to part ratio and a part, where the whole is greater than 50 175. 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

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. 85 - 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. 86 - 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 0.137 miles per minute. If he maintains a constant speed, about how far will Vito run in 20 minutes? [A] 0.365 mi [B] 2.74 mi [C] 0.007 mi [D] 145.985 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] 0.033 min [C] 0.002 min [D] 480 min 29

Topic 2 - Algebra Obj. 87 - 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] 1 2 3 2. Evaluate: 6 6 + b c if b = 11 and c = 8 [A] 1 19 [B] 6 25 [C] 6 13 [D] 3 Obj. 88 - 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] 120 4. Evaluate: 7x 5x if x = 6 [A] 12 [B] 47 [C] 72 [D] 72 Obj. 89 - 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] 24 6. Evaluate: m m n + b g if m n = 8 and = 7 [A] 130 [B] 18 [C] 130 [D] 81 Obj. 90 - 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 2 2 4 8. Evaluate: x + y if x = and y = [A] 36 [B] 8 [C] 18 [D] 16 30

Topic 2 - Algebra Obj. 91 - 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. 92 - 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 + 314. 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] 868. 66 ft [B] 1, 59198. ft [C] 4, 6137. 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] 22. 5 ft 3 [B] 197. 5 ft 3 [C] 37. 5 ft 3 [D] 187. 5 ft 3 2 2 31

Topic 2 - Algebra Obj. 93 - 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 = 2 15. What is the variable in 8p 13? [A] 8 [B] 8p [C] p [D] 13 Obj. 94 - 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 4 5 6 7 n Value of Term 4 3 8 5 3 8 6 3 8 7 3 8 [A] n + 8 7 [B] n + 3 8 [C] 35n 32 [D] 8n 3 17. Which expression can be used to find the value of the nth term in the sequence? Position 1 2 3 4 n Value of Term 3 5 16 3 5 22 3 5 28 3 5 [A] 4n + 6 3 5 [B] 33n 5 3 [C] n + [D] 6n + 4 3 5 5 Obj. 95 - 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) 1 2 3 4 Output (?) 16 22 28 [A] 4 + 6n [B] 9 + n [C] 5+ 5n [D] 7n + 3 32

Topic 2 - Algebra 19. Which expression can be used to calculate the output values in this table? Input ( n) 3 2 1 0 Output (?) 3 0 3 6 [A] 4n + 9 [B] 2n 3 [C] n [D] 6 + 3n Obj. 96 - 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 30 21. 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. 97 - 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

Topic 2 - Algebra Obj. 98 - Solve a 1-step linear equation involving integers 24. Solve: 43+ b = 23 [A] b = 66 [B] b = 66 [C] b = 20 [D] b = 20 25. Solve: 11s = 77 [A] s = 847 [B] s = 7 [C] s = 7 [D] s = 847 Obj. 99 - 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 = 2 27. 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

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] 208 32 32 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 5 23 5 37 5 23 5 37 2 5 2 19 2 5 2 19 4 31 4 31 4 17 4 17 33. Which table shows three solutions of the function y = 5x 7? [A] x y [B] x y [C] x y [D] x y 7 42 7 28 7 42 7 28 1 12 1 2 1 12 1 2 7 28 7 28 7 28 7 42 35

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 3 2 1 3 4 y 4 2 0 8 [A] y [B] y x x [C] y [D] y x x 35. Which graph shows the ordered pairs from the table? x y 2 1 0 1 2 7 4 3 4 7 36

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

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

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

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 + 32. 5 [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 1 11 22 inches? Use 7 for π. [A] 1 1 2 in. [B] 12 in. [C] 3 in. [D] 6 in. 4. What is the circumference of a circle that has a diameter of 1 11 22 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 1 3 4 mm. What is the circle s circumference in terms of π? [A] 3 1 16 π mm [B] 7π mm [C] 1 3 4 π mm [D] 3 1 2 π mm 40

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 2 2 2 [A] 5512. m [B] 78. 3 m [C] 394. 85 m [D] 275. 6 m. What is the area of the trapezoid? 13 in. (not drawn to scale) 2 11 in. [A] 165 17 in. 2 in [B] 180 2 in [C] 33 2 in [D] 360 2 in 41

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. 111 - 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? 2 2 2 [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? 2 2 2 [A] 9π cm [B] 3π cm [C] 15. π cm [D] 2. 25π cm 2 2 42