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Name Class Date Extra Practice Chapter 1 Lesson 1-1 Write an algebraic expression for each word phrase. 1. 3 fewer than y 2. the quotient of r and 12 3. 13 more than the product of 2 and j 4. 8 less than the quotient of 4 and p Write a word phrase for each algebraic expression. 5. 2t – 9 6. 7 6 k 7. 0.5 (y + 3.3) 8. The cost of a telephone call is 75 cents plus 25 cents times the number of minutes. Write an algebraic expression that models the cost of a telephone call that lasts t minutes. Lesson 1-2 Simplify each expression. 9. 24 10. 52 11. 4 + 3 • 8 12. 2 • 32 –7 13. 42 + 8 ÷ 2 14. 9 – (3 + 1)2 15. 2 + 6 • 8 ÷ 4 16. 5 + 4 • (8 – 6)2 b1 b2 , where A is area, 2 Use the formula for the area of a trapezoid A h b1 and b2 are the length of the bases and h is the height, to answer each question. 17. What is the area of a trapezoidal pool with a height of 15 yd and bases of 14 yd and 26 yd? 18. How many square feet of grass are there on a trapezoidal field with a height of 75 ft and bases of 125 ft and 81 ft? Lesson 1-3 Find the square roots of each number. 19. √25 20. √ 4 9 21. √ 25 36 22. √0.81 25. 231 26. Estimate each square root. Round to the nearest integer. 23. 23 24. 85 97 Name the subset(s) of the real numbers to which each number belongs. (Natural numbers, whole numbers, integers, rational, and irrational) 27. 77 ______________ 28. 4 __________________ 29. 2 3 _______________ 30. 0 ______________ __________________ ______________ __________________ ______________ __________________ Name Class Order the numbers in each exercise from least to greatest. 25 31. 33, , 4.8 , 18 4 Date 32. 69 , 69 , –9, 7 79 Lesson 1-4 Simplify each expression. Justify each step with your property. 33. 7 + (9 – 32) Step 1:__________________ _________________________ Step 2:__________________ _________________________ Step 3:__________________ _________________________ 34. [4 + (–4)]15 Step 1:________________ ________________________ Step 2: ________________ ________________________ 35. 3 3 18 18 3 Step 1:___________________ _____________________ Step 2:_________________ _____________________ 36. 2(3*2 – 5 ) + 3 * 1/3 Step 1:__________________________ _____________________________ Step 2: __________________________ ____________________________ Step 3:__________________________ _____________________________ Step 4:__________________________ _____________________________ Step 5: __________________________ _____________________________ Lessons 1-5 and 1-6 Simplify each expression. 37. 22 + (–33) 38. 45 + (–54) 41. –(–(11 – 22)) 42. (–2)(44) 3 22 45. 2 33 46. 49. 42 52 39. 4 4 3 5 40. 44. –32 43. (–3)2 32 23 47. 5 2 ( 5 ) 2 50. 25 51. 27 3 48. 81 ÷ (–9) 52 121 53.Your goal is to save $50. So far, you have saved $34. How much more do you need to save? 54. A company buys 1500 small items from a manufacturer for $.02 apiece. What is the total cost of the items? 55. Your parents drove the family car 462 miles on 14 gallons of gas. On average, how many miles did the car travel on each gallon of gas? Lesson 1-7 Use the Distributive Property to simplify each expression. 4 56. –4(a + 3) 57. 12 x 1 3 59. 5(2 – j) + (2j – 3) 60. 1 (12 6r ) 3 4 4 13 13 58. 5 + 6(m + 1) 1 2 61. 6 y 2 3