NAME _____________________________________________ DATE ____________________________ Chapter Test – Chapter 8 Functions and Inequalities Write the letter for the correct answer in the blank at the right of each question. 1. Which of the following sets of values completes the function table? Input (x) 4x + 2 4 4(4) + 2 5 4(5) + 2 6 4(6) + 2 Output (y) A. 16, 20, 24 B. 18, 19, 20 C. 18, 22, 26 D.0,1,2 1._______________ Party Favors 2. Molly is buying packages of party favors for her birthday party. Using the table as a guide, how many packages will she need to buy to have 24 favors? A. 8 C. 12 B. 10 D. 14 Number of Packages Number of Favors 3 6 6 12 2. _______________ Use the table below for questions 3 and 4. Position 1 2 3 4 Value of Term 2 4 6 8 n 3. What is the rule to find the value of the missing term? A. B. n + 2 C. 2n D. n – 2 3. _______________ 4. What is the value of the twelfth term in the sequence? A. 10 B. 12 C. 16 D. 24 4. _______________ 5. The graph shows the total money earned at a fundraising car wash. Which equation can be used to find the total earned y for the number of cars washed x? A. y = x + 5 C. y = 5x B. y = x – 5 D. y = x – 5 5. _______________ 6. A pizzeria charges $12 per pizza plus an addition $3 for delivery. Which equation represents the cost of having any number of pizzas delivered? A. c = 12p B. c = 3p C. c = 12p + 3 D. c = 12 + 3p 6. _______________ 2 NAME _____________________________________________ DATE ____________________________ Use the following information for questions 7-9. Ryan earns $20 for every lawn that he mows. 7._________________ 7. Which equation can be used to find t, the total amount Ryan will earn after mowing n lawns? A. t = 20n B. n = 20t C. t = 20 + n D. n = 20 + t 8. _________________ 8. How much will Ryan earn if he mows 15 lawns? A. $40 B. $150 C. $200 D. $300 9. Which set of ordered pairs represents the relationship between the number of lawns Ryan mows and the money he earns? A. (20, 1), (40, 2), (60, 3) C. (1, 20), (2, 40), (3, 60) B. (1, 20), (2, 30), (3, 40) D. (0, 20), (1, 40), (2, 60) 9. _________________ 10. _________________ 10. Which of the following is a solution of the inequality h + 9 < 20? A. 13 B. 12 C. 11 D. 10 11. _________________ 11. The inequality a < 10 represents the ages a that qualify for a child ticket. Which children in the Rogers’ family qualify for a child ticket? A. Chris, Megan, Piper B. Piper only C. Chris and Megan D. Piper and Mark Rogers’ Family Ages Chris 5 Megan 8 Piper 10 Mark 12 12. Which inequality is graphed below? A. x ≥ 3 B. x < 3 C. x ≤ 3 12. _________________ D. x > 3 13. ________________ 13. Miguel has at least $250 in his savings account. Which inequality represents this situation? A. m < 250 B. m > 250 C. m ≤ 250 D. m ≥ 250 14. Which of the following inequalities has the solution shown below? A. 3x ≤ 6 B. 3x < 6 Solve each inequality. 15) 3 + x ≥ 12 A. x ≥ 9 B. x ≥ 15 16) 5x < 30 A. x < 150 𝑥 ≤6 17) 3 A. x ≤ 2 C. 3x ≥ 6 14. _________________ D. 3x > 6 15. _________________ C. x ≤ 9 D. x ≤ 15 16. _________________ B. x < 6 C. x > 150 D. x > 6 17. _________________ B. x < 2 C. x ≤ 18 D. x < 18 NAME _____________________________________________ DATE ____________________________ Use the table below for questions 18 and 19. Position 1 2 3 4 n Value of Term 8 16 24 32 ■ 18. Use words or symbols to describe the value of each term as a function of its position. 18. ______________ 19. Find the value of the TENTH term in the sequence. 19. ______________ For #20 and #21, write an equation to represent the function. 20. ______________ 20. Input, x Output, y 1 5 2 10 3 15 4 20 21. Input, x Output, y 1 9 2 16 3 23 4 30 21. ______________ 22. use table below Use the following information for questions 22-23. An adult male gorilla eats about 50 pounds of vegetation every day. 22. Make a table to the right to show the relationship between the number of pounds p an adult male gorilla eats in 1,2,3 days. 23. Write an equation to find p, the number of pounds of vegetation an adult male gorilla eats in d days. p (pounds) d (days) 23. ______________ Graph each equation. Use the tables below to find the ordered pairs. 24. y = x + 2 24. x 0 1 2 y 25. y = 2x + 1 25. x 0 1 2 y NAME _____________________________________________ DATE ____________________________ 26. Evaluate x 2 + 4y when x = 8 and y = 5. 2 27. How many 5 inch pieces can be cut from a wire that is 10 inches long? 28. Solve for x: 56 – x = 34 29. Solve for x: x = 8 4 30. Write the phrase below as an algebraic expression: four less than six times a number 31. Simplify the expression: 8(x + 2) + 4x + 10 32. Solve and graph the inequalities on the number lines below: a) x-2≥3 b) 4x < 12