Pre-Test. Graph each compound inequality on the number line provided. Solve each inequality. Show all your work.

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1 Pre-Test Name Date 1. An art museum offers a special admission price for children under the age of 5 and senior citizens who are 65 years or older. Everyone else must pay the full admission price to visit the museum. Write a compound inequality in compact form to show the age range for visitors paying full price for admission. Graph each compound inequality on the number line provided x < 5 3. x < 1 or x Solve each inequality. Show all your work.. 3x x 2 13 Chapter Assessments 99

2 Pre-Test PAGE 2 Decide whether each relation is a function. If the relation is a function, identify the domain and range. If the relation is not a function, explain why. Use complete sentences in your answers. 6. Relation: ( 1, ), ( 2, 3), ( 3, 2), ( 2, 1), (, 1) 7. Relation: (6, ), (7, 5), (8, 6), (9, 7), (10, 8) 8. Professor Hampton has 150 exams to grade. It takes him 3 minutes to grade each exam, so it will take him 50 minutes to grade all of the exams. a. You can represent the number of hours Professor Hampton must spend grading using the variable y and the number of exams that have been graded using the variable x. Write an equation that represents the number of hours Professor Hampton must spend grading in terms of the number of exams that have been graded. b. Is this equation a function? Use complete sentences to explain your reasoning. c. What is the domain? Use a complete sentence in your answer. d. What is the range? Use a complete sentence in your answer. Evaluate each function at the specified value. Show all your work. 9. f(x) 2x 5 at x g(x) 9 6x at x Chapter Assessments

3 Pre-Test PAGE 3 Name Date Match the name of each property with its definition. Property Definition 11. Distributive Property of Multiplication Over Addition 12. Distributive Property of Multiplication Over Subtraction 13. Distributive Property of Division Over Addition 1. Distributive Property of Division Over Subtraction 15. Closure 16. Additive identity 17. Multiplicative identity 18. Additive inverse a. If a, b, and c are any numbers and c 0, then a b a. c c b c b. A number such that when you add it to a second number, the sum is the second number. c. A number such that when you multiply it by a second number, the product is the multiplicative identity. d. If a, b, and c are any numbers, then a (b c) a b a c. e. If you are multiplying three numbers, the product is not affected by the way in which you group two of the three numbers. f. A number such that when you add it to a second number, the sum is the additive identity. g. For any real numbers a and b, if a b, then b a. 19. Multiplicative inverse 20. Commutative Property of Addition 21. Commutative Property of Multiplication 22. Associative Property of Addition 23. Associative Property of Multiplication 2. Reflexive property 25. Symmetric property 26. Transitive property h. If a, b, and c are any numbers, then a (b c) a b a c. i. The order in which you multiply two or more numbers does not affect the product. j. For any real numbers a, b, and c, if a b and b c, then a c. k. A set of numbers is closed under an operation if the result of the operation on two numbers in the set is a number in the set. l. If you are adding three numbers, the sum is not affected by the way in which you group two of the three numbers. m. For any real number a, a a. n. The order in which you add two or more numbers does not affect the sum. o. A number such that when you multiply it by a second number, the product is the second number. p. If a, b, and c are any numbers and c 0, then a b a. c c b c Chapter Assessments 101

4 Pre-Test PAGE Solve each equation. Show all your work x 6 7x (x 3) 3(x 8) Solve each absolute value inequality. Show all your work. 29. x x Chapter Assessments

5 Post-Test Name Date 1. Your English teacher asks you to write a novella that is at least 30 pages long and no more than 60 pages long. If your novella does not fall within these page limits, you will receive a failing grade for the project. Write a compound inequality in compact form that shows the length of a novella that would receive a failing grade. Graph each compound inequality on the number line provided. 2. < x 9 3. x 3 or x > 1 Solve each inequality. Show all your work.. 6x x 3 21 Chapter Assessments 103

6 Post-Test PAGE 2 Decide whether each relation is a function. If the relation is a function, identify the domain and range. If the relation is not a function, explain why. Use complete sentences in your answers. 6. Relation: (1, 3.2). (, 5.5), (7, 7.8), (10, 10.1), (13, 12.) 7. Relation: ( 1, 1), (0, 2), (2, 0), (3, 1), ( 1, 3) 8. A local bakery sells bagels by the dozen. Every morning, the baker makes 20 bagels. a. You can represent the number of bagels left using the variable y and the number of dozen bagels that have been sold using the variable x. Write an equation that represents the number of bagels left in terms of the number of dozen bagels that have been sold. (Hint: One dozen equals 12 bagels.) b. Is this equation a function? Use complete sentences to explain your reasoning. c. What is the domain? Use a complete sentence in your answer. d. What is the range? Use a complete sentence in your answer. Evaluate each function at the specified value. Show all your work. 9. f(x) x 1 at x g(x) 15 2x at x 10 Chapter Assessments

7 Post-Test PAGE 3 Name Date Match the name of each property with its definition. Property Definition 11. Distributive Property of Multiplication Over Addition 12. Distributive Property of Multiplication Over Subtraction 13. Distributive Property of Division Over Addition 1. Distributive Property of Division Over Subtraction 15. Closure 16. Additive identity 17. Multiplicative identity a. If a, b, and c are any numbers and c 0, then a b a. c c b c b. If a, b, and c are any numbers, then a (b c) a b a c. c. A number such that when you multiply it by a second number, the product is the multiplicative identity. d. If a, b, and c are any numbers and c 0, then a b a. c c b c e. A number such that when you add it to a second number, the sum is the additive identity. f. If you are multiplying three numbers, the product is not affected by the way in which you group two of the three numbers. 18. Additive inverse 19. Multiplicative inverse 20. Commutative Property of Addition 21. Commutative Property of Multiplication 22. Associative Property of Addition 23. Associative Property of Multiplication 2. Reflexive property 25. Symmetric property 26. Transitive property g. A number such that when you multiply it by a second number, the product is the second number. h. The order in which you multiply two or more numbers does not affect the product. i. A number such that when you add to a second number, the sum is the second number. j. For any real number a, a a. k. The order in which you add two or more numbers does not affect the sum. l. If you are adding three numbers, the sum is not affected by the way in which you group two of the three numbers. m. For any real numbers a, b, and c, if a b and b c, then a c. n. If a, b, and c are any numbers, then a (b c) a b a c. o. For any real numbers a and b, if a b, then b a. p. A set of numbers is closed under an operation if the result of the operation on two numbers in the set is a number in the set. Chapter Assessments 105

8 Post-Test PAGE Solve each equation. Show all your work x 3 6x (3x 5) 2(9x 5) Solve each absolute value inequality. Show all your work. 29. x x Chapter Assessments

9 Mid-Chapter Test Name Date Read the scenario and table below. Use the scenario and table to answer Questions 1 and 2. You are studying the internal structure of Earth in science class. You learn that Earth has four layers: the crust, the mantle, the outer core, and the inner core. The average depth of each layer is given in the table below. Layer Crust Mantle Outer core Inner core Location starts at Earth s surface and extends 30 kilometers below Earth s surface starts at the lower edge of the crust and extends 2930 below Earth s surface starts at the lower edge of the mantle and extends 5130 kilometers below Earth s surface starts at the lower edge of the outer core and extends 6380 kilometers below Earth s surface to the center 1. Let x represent the number of miles below Earth s surface. Write an inequality to represent each layer s position below Earth s surface. Crust: Mantle: Outer core: Inner core: 2. The lithosphere is the part of Earth s internal structure that begins at Earth s surface and extends 80 kilometers below Earth s surface. a. Does the lithosphere include the crust? Use complete sentences to explain your reasoning. b. Does the lithosphere include all of the mantle? Use complete sentences to explain your reasoning. Chapter Assessments 107

10 Mid-Chapter Test PAGE 2 Solve each inequality and graph the solution on the number line. Show all your work. 3. 9x x Chapter Assessments

11 Mid-Chapter Test PAGE 3 Name Date Read the scenario below. Use the scenario to answer Questions 5 through 9. The state department of transportation recently filled the road salt storage building on the highway near your house with 200 tons of road salt. A snow plow truck can hold 12 tons of road salt in one load. 5. You can represent the amount of road salt left in the storage building using the variable y and number of truckloads of road salt using the variable x. Write an equation that represents the amount of road salt left in the storage building in terms of number of truckloads. 6. Use your answer to Question 5 to find the number of truckloads of road salt that were removed if 260 tons of road salt are left in the storage building. Does your answer make sense? Use complete sentences to explain why or why not. 7. Complete the table of values that describes the relationship between the number of truckloads of road salt that have been removed and the amount of road salt remaining in the storage building Chapter Assessments 109

12 Mid-Chapter Test PAGE 8. How does the amount of road salt left in the storage building change as the number of truckloads increases by one? Use a complete sentence in your answer. 9. Does the relation represented by the values in the table in Question 7 represent a function? If the relation is a function, identify the domain and range. If the relation is not a function, explain why. Use complete sentences in your answer. 10. Write 5 ordered pairs that represent a relation that is not a function. Use complete sentences to explain why it is not a function. Evaluate each function at the specified value. Show all your work. 11. h(x) 6x 2 at x p(x) 15 x at x Chapter Assessments

13 End of Chapter Test Name Date At a carnival, there is a man who is guessing people s weights. You decide to play. If his guess is 5 pounds or less above or below your actual weight, he wins. If it is not, then you win. Your actual weight is 108 pounds. 1. Let x represent your weight. Write a compound inequality that represents the range in which the man s guess must fall for him to win. 2. Write a compound inequality that represents the range in which the man s guess must fall for you to win. 3. The man guesses 113 pounds. Who wins? Use a complete sentence to explain how you determined your answer. Decide whether each relation is a function. If the relation is a function, identify the domain and range. If the relation is not a function, explain why. Use complete sentences in your answers.. Relation: ( 50, 50), ( 0, 0), ( 30, 30), ( 20, 30), ( 10, 0) 5. Relation: (1, 23), (15, 25), (16, 27), (1, 29), (13, 27) Evaluate each function at the specified value. Show all your work. 6. f(x) 39 x at x 9 7. h(x) 10x 17 at x 3 Chapter Assessments 111

14 End of Chapter Test PAGE 2 8. Xavier can run a mile in 7 minutes. You can represent the total amount of time Xavier runs using the variable y and the number of miles he runs using the variable x. Write an equation that represents the total amount of time Xavier runs in terms of the number of miles he runs. Does this equation represent a function? If so, identify the domain and range in terms of this real-life situation. If not, explain why. Use complete sentences in your answer. 9. Give an example of a rational number. Use complete sentences to explain how you determined your answer. 10. Give an example of an irrational number. Use complete sentences to explain how you determined your answer. Write each repeating decimal as a rational number. Show all your work Solve each equation. Show all your work x 16 18x (6x 3) 3(2x 12) 112 Chapter Assessments

15 End of Chapter Test PAGE 3 Name Date 15. For the equation, identify the property that is used in each step. 2(5x 2) 10x 10x x 1 10x 10 10x 10 x x x Given problem Give a mathematical example of each property. 16. Multiplicative identity 17. Additive inverse 18. Commutative Property of Addition 19. Associative Property of Multiplication Chapter Assessments 113

16 End of Chapter Test PAGE Solve each inequality and graph the solution. Show all your work x x x x Chapter Assessments

17 End of Chapter Test PAGE 5 Name Date Your uncle is trying to decide between a cable subscription and a satellite dish. The cable subscription has a $0 hook-up fee and costs $38 per month. The satellite dish costs $260 and the monthly fee is $ Write an expression that represents the total cost of the cable service, using x to represent the number of months that your uncle has the service. 25. Write an expression that represents the total cost of satellite service, using x to represent the number of months that you have the service. 26. Write and solve an equation to determine the number of months it takes for the total costs to be the same. Show all your work and use a complete sentence in your answer. Chapter Assessments 115

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19 Standardized Test Practice Name Date 1. A person with a systolic blood pressure greater than 120 mmhg and less than or equal to 139 mmhg is said to have prehypertension. Which inequality represents the range of systolic blood pressure for a person with prehypertension? a. 120 < x < 139 b. 120 < x 139 c. 120 x < 139 d. 120 x Which inequality is represented by the graph below? a. 6 x > 0 b. 6 x < 0 c. x < 6 or x 0 d. x 6 or x > 0 3. What is the solution set of the inequality x 3 9? a. 6 x 12 b. x 6 c. x 12 or x 6 d. x 12 and x 6. Which equation is equivalent to 2(5 3x) 3(9x 7)? a. 33x 35 b. 33x 7 c. 21x 7 d. 33x 15 Chapter Assessments 117

20 Standardized Test Practice PAGE 2 5. Solve: Step 1: Step 2: Step 3: Step : Step 5: Step 6: 2(x ) 2x 8 2x 8 2x 12 x x x Which property of real numbers was used in Step 2? a. Distributive property of division over subtraction b. Distributive property of multiplication over subtraction c. Commutative property of addition d. Multiplicative identity 6. Which relation is a function? a. (0, 0), (1, 2), (0, 3), (2, ) b. ( 2, 2), ( 23, 2), ( 2, ), ( 23, ) c. ( 6, 1), ( 6, 2), ( 6, 3), ( 6, ) d. (, 9), (6, 13), (9, ), (13, 6) 118 Chapter Assessments

21 Standardized Test Practice PAGE 3 Name Date 7. What is the domain of the function given in the table? x y a. (15, 6, 3, 9, 12} b. ( 5, 15), ( 2, 6), ( 1, 3), (3, 9), (, 12) c. { 5, 2, 1, 3, } d. all real numbers 8. Which of the following is written in function notation? a. b. c. d. f 3x 2 y 3x 2 f x 3x 2 g(x) 3x 2 9. Which of the following real numbers is NOT a rational number? a b. 8 c d. 5 9 Chapter Assessments 119

22 Standardized Test Practice PAGE 10. Jamal s teacher asked him to write as a fraction. Jamal s work is shown below. Step 1: 10w w Step 2: Step 3: 9w w Which is the first incorrect step in Jamal s work? a. Step 1 b. Step 2 c. Step 3 d. None of the above. Jamal did the work correctly. 11. When is this statement true? Every function is a relation. a. This statement is never true. b. This statement is always true. c. This statement is true for positive integers. d. This statement is true for negative integers. 12. Daniel made $28,900 last year, which put him in the 15% tax bracket. The range for the 15% tax bracket is $7300 < x < $29,700. Daniel received an $800 pay raise this year. Will he still be in the 15% tax bracket? Why or why not? a. Yes, because his new salary is $29,700, which falls within the 15% tax bracket. b. No, because his new salary is $29,700, which does NOT fall within the 15% tax bracket. c. Cannot be determined. 120 Chapter Assessments

23 Standardized Test Practice PAGE 5 Name Date 13. Daphne solves the inequality 5(x 1) 10, and graphs the solution set below Which value is NOT part of the solution set? a. 0 b. 3 c. 6 d Let f(x) 6x 8. What is f(2)? a. b. c. d. f(2) f(2) 2 f(2) f(2) Which equation shows an example of the Associative Property of Addition? a. b. c. d. (a b) c a (b c) a b b a a (b c) (a b) c a(b c) ab ac 16. The pep club at your school has decided to order T-shirts to sell at the school basketball games. Company A charges $5 per shirt and a one time set-up fee of $20. Company B charges $3 per shirt and a one time set-up fee of $2. Which equation would you use to determine for what number of shirts the total costs from Company A and Company B would be the same? a. 8x 62 b. c. 5x 20 3x 2 5x 20 3x 2 d. 5x 3x 20 2 Chapter Assessments 121

24 122 Chapter Assessments