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8. The (Addition, Distributive) Property can be used to remove grouping symbols. ANSWER: Study Guide and Review Distributive Choose the correct term to complete each sentence. 1. An (equation, inequality) is a mathematical sentence that contains a less than or greater than symbol. 9. The measure of the amount of space in a figure is the (perimeter, area). ANSWER: area ANSWER: 10. A null or empty set is shown by the symbol (Ø, λ). inequality ANSWER: 2. (Perimeter, Area) is the distance around a geometric Ø figure. Find the perimeter and area of each figure. ANSWER: 11. Perimeter 3. The inequality symbol must be reversed when you multiply or divide by a (positive, negative) number. ANSWER: negative 4. When finding the area of a triangle multiply (2, ANSWER: 20 ft, 25 ft² ) by the product of the base and height. 12. ANSWER: 5. The symbol ≥ means (less than, greater than) or ANSWER: equal to. 22 m, 28 m² ANSWER: greater than 13. 6. The statement d + 0 = d is an example of the (additive, multiplicative) identity. ANSWER: additive 7. The area of a rectangle is equal to the (sum, product) of the length and width. ANSWER: ANSWER: 12 cm, 6 cm² product 8. The (Addition, Distributive) Property can be used to 14. remove grouping symbols. ANSWER: Distributive 9. The measure of the amount of space in a figure is the (perimeter, area). eSolutions Manual - Powered by Cognero ANSWER: area ANSWER: 27 in., 27.5 in² Page 1 15. GYMNASTICS The area of a gymnastics mat is 21. c – 12 = 4c – 12 ANSWER: Study Guide and Review 12 cm, 6 cm² 14. ANSWER: 0 22. MOVIES An online DVD rental club has two membership plans as shown. Write and solve an equation to find how many months it would take for the total cost of the two plans to be the same. ANSWER: 27 in., 27.5 in² 15. GYMNASTICS The area of a gymnastics mat is 142.5 square feet. If the width of the mat is 9.5 feet, what is the length? ANSWER: 15 ft Solve each equation. Check your solution. 16. 3a + 6 = 2a ANSWER: –6 ANSWER: 20 + 5m = 30 + 3m; 5 months Write an inequality for each sentence. 23. Jeremiah can spend at most $15 at the store. ANSWER: j ≤ 15 24. There are more than 35 students in the band. ANSWER: 17. 10 – x = 9x ANSWER: 1 18. b – 6 = –b + 2 ANSWER: b > 35 For the given value, state whether each inequality is true or false . 25. x + 6 > 7, x = 2 ANSWER: True 4 19. 5 + 2y – 12 = y + 9 26. 13 – a < 9, a = 10 ANSWER: ANSWER: 16 True 20. 9q + 6 = 6q – 9 27. 16 ≤ 4a, a = 4 ANSWER: ANSWER: –5 True 21. c – 12 = 4c – 12 28. 3m + 4 ≥ 12, m = 2 ANSWER: ANSWER: 0 False 22. MOVIES An online DVD rental club has two membership plans as shown. Write and solve an equation to find how many months it would take for the total cost of the two plans to be the same. 29. 6x > 18, x = 3 ANSWER: False 30. 6b + 4 > 12, b = 2 eSolutions Manual - Powered by Cognero ANSWER: True Page 2 ANSWER: 29. 6x > 18, x = 3 h >7 ANSWER: Study Guide and Review False 30. 6b + 4 > 12, b = 2 ANSWER: True 37. –5x < –13 ANSWER: x> Solve each inequality. Graph the solution on a number line. 31. x – 4 < 8 ANSWER: x < 12 38. x > 6 ANSWER: x >9 32. y + 3 ≥ 11 ANSWER: y ≥ 8 39. MUSIC Jose can spend at most $120 for CDs. If each CD costs $20, write and solve an inequality to show the maximum number of CDs Jose can buy. 33. a – 15 ≤ 3 ANSWER: a ≤ 18 ANSWER: 20x ≤ 120; x ≤ 6 Solve. Check your solution. 40. 8b + 5 = 21 ANSWER: b =2 34. x + 13 > –22 ANSWER: x > –35 41. 15 – 4n = –13 ANSWER: n =7 42. 12 = 6(z – 4) 35. –3z ≤ –24 ANSWER: ANSWER: z =6 z≥8 43. (12 + 4a) = 21 ANSWER: 36. 6h > 42 ANSWER: h >7 a =4 44. –4g – 5 ≥ –17 ANSWER: g ≤ 3 eSolutions 37. –5x Manual < –13 - Powered by Cognero ANSWER: 45. 18 > –12 + 6m ANSWER: m<5 Page 3 44. –4g – 5 ≥ –17 ANSWER: Study Guide and Review g ≤ 3 45. 18 > –12 + 6m ANSWER: m<5 46. 24 – 3c ≤ 15 ANSWER: c ≥ 3 47. k + 9 < 5 ANSWER: k < –6 48. SALES A car sales associate receives a monthly salary of $1700 a month plus $140 for every car he sells. How many cars must he sell monthly to earn at least $4500? ANSWER: 20 cars eSolutions Manual - Powered by Cognero Page 4