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PRE-ALGEBRA FINAL EXAM-DAY 2 Name Day 2 Multiple Choice (1 pt. each) 1. 2. 3. 4. 5, 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33. 34. 35. 36. 37. 38. Pre-Algebra Final Day 2 Name Multiple Choice Identify the choice that best completes the statement or answers the question. Find the next term in each list. 1. 3, 7, 15, 31, 63, ... a. b. 126 127 c. d. 94 52 c. d. 84 12 c. 3. 50 56 c. d. 17 24 c. d. 560 65 c. d. –59 –137 Find the value of each expression. 2. 12 • 4 + 3 a. b. 51 144 3. 7(2 + 6) – 18 ÷ 3 a. b. 1 16 4. r + 2s –9, if r = 8 and s = 5 a. b. 1 9 Evaluate each expression. 5. |–56| a. b. 56 –56 6. |98| – |–39| a. b. 59 137 Evaluate each expression if a = 8, b - –2, and c = –5. 7. c+b+a a. b. 15 1 8. (a ÷ b) + c a. b. –9 –1 c. d. –15 5 c. d. 9 1 Find the average (mean) of each set of data. 9. 20, –14, –4, 8, 17, 3 a. b. 10 6 10. Translate the difference of a number and 7 is –8 into an equation. a. b. 11. 7 – n = –8 c. n – 7 = –8 n =–8 d. n – (–7) = –8 7 Which expression is equivalent to –4 (m – 3)? a. b. –4m – 12 4m + 12 c. d. 11 5 c. d. –4m – 7 –4m + 12 c. d. 19 –19 Solve each equation. 12. k – 35 = – 16 a. b. –51 51 13. Which equation describes the sequence 9, 11, 13, 15, …? a. b. t = 2n + 7 t = 2n + 9 c. d. t = –2n + 9 t = 2n 14. Elisa has $55 and saves an additional $12 per week. How long will it take Elisa to save $175? a. b. 10 weeks 24 weeks 15. Which fraction is a. 1 7 1 36 b. € € c. d. 19 weeks 21 weeks c. 3 21 d. simplest form c. d. 7 • 22 72 • 22 c. d. 816 648 c. d. 20x6 20x8 6 42 € 16. Factor 98 completely. a. b. 2•7 2 • 72 € Find each product. 17. 8 4 • 84 a. b. 644 88 18. 4x2 • 5x4 a. b. 9x6 9x8 Evaluate each expression if a = –2 and b = 3 19. b-3 a. 1 27 –9 b. € c. d. € 1 27 27 - 21. 20. Write 0.625 as a fraction in simplest form. a. 5 8 b. 6 1 4 c. 2 3 d. 62 1 2 € € 3 Identify all sets to which the number – . € €4 a. whole numbers, integers, rational numbers b. rational numbers c. integers, rational numbers € d. odd numbers, whole numbers, integers, rational numbers Find each sum or difference. Write in simplest form. 22. 5 5 – 6 8 a. € € b. 5 7 5 18 € € Find the least common multiple (LCM) of 18a and 24b. € 23. c. d. a. b. 72ab 72a2b2 24. Solve € c. d. 6 6ab c. 15 d. 5 2 y = 6. 5 12 5 € 2 b. 2 5 a. € 1 2 5 24 – 25. € What value of x makes a. b. 1.6 14.4 € € 3 5 x 1.2 = a proportion? 3 4 € c. d. 10 0.9 26. A chili recipe calls for 6 pounds of ground beef for 25 servings. How many pounds are needed for 30 servings? a. b. 8 7.2 c. d. 5 15 Use the percent proportion to solve each problem. 27. What is 44% of 50? a. b. 18 20 28. Thirty-six of 80 marbles are blue. What percent of the marbles are blue? 45% c. 36% 22.2% d. 48% a. b. 29. 22 40 a. b. A car dealer buys a luxury car for $45,800 and sells it for $61,830. Find the percent of change. 35% c. –35% –40% d. 26% 30. Which of the following is a solution of 3x – 2y = 6? a. b. (2, 3) (0, 3) 31. Find the slope of the line that passes through the points A(–6, 2) and B(5, –1). 11 –1 c. – 3 3 3 d. – 11 11 a. b. 32. € c. d. a. b. c. d. (3, 0) (4,3) € What is the slope of y = 6x + 1? –6 6 € c. d. 1 x 33. a. b. What is the y-intercept of y = 5x – 2? –5 c. –2 y d. 0 Solve each equation. 34. a. b. 4x + 8 = 3 x – 1 –7 7 35. Nine less than five times a number is three more than twice the number. Choose the equation to find the unknown number. Then solve. a. 5 – 9t = 2t – 2; t = 1 b. 5 + 9t = 3t + 2; t = – c. d. 1 2 –9 –1 c. 5t – 9 = 2t + 3; t = –4 d. 5t – 9 = 2t + 3; t = 4 c. d. y ≥3 y ≥ –13 c. d. x>3 x<3 Solve each inequality. 36. y – 5 ≥ –8 a. € b. y ≥ 13 y ≥ –3 € 37. € € –6x – 3 > –21 € € a. b. x>4 x<4 38. GOLDFISH The longest recorded life span of a goldfish is 41 years. Suppose you have a goldfish that is 8 years old. Write and solve an inequality to find out how much longer your goldfish could live. a. b. 8 + y ≤ 41; y = 33 8 + y ≤ 41; y = 49 € € y – 8 ≤ 41; y = 33 y – 8 ≤ 41; y = 49 c. d. € €