Test 97 6. Use the definition of exponents to expand the expressions: a. b. 14x23 4x3 7. Plot the points on a number line: . 032 0 , 116 03 0 , 0, 2, 0.5, 8. Use the number line in Exercise 7 to identify whether the statements are true or false. 03 0 6 2 ` a. b. 0 ` 3 2 2 6 0.5 ` c. d. 03 0 ` 3 2 9. Identify the property that justifies each statement. a. b. c. 6182 1826 5 0 5 12 32 4 2 13 42 1 7 d. e. 8371324 18 72132 7 1 10. Write each expression as an English phrase. 21a b2 a. . b. 2a b . (Answers may vary.) 11. Write the phrase as an algebraic expression: “The quotient of the square root of c and the square of d.” For Exercises 12–14, write each English statement as an algebraic expression. Then simplify the expression. 12. Subtract 4 from 12 13. Find the difference of 6 and 8 14. The quotient of 10 and 12 For Exercises 15–29, perform the indicated operations. 1 8 a 3 4 b 15. 16. 84 7 17. 21 172 18. 15 132 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 14 122 16 1162122112132 22 0 38 0 18 1122 10.06 114.722 7142 2 5 a 7 10 252 42 012 3 0 b a 7 6 b 8 3 12 42 18 92 4 3 2 18 102 152 30. The average high temperature in January for Nova Scotia, Canada, is 1.2°C.The average low is 10.7°C. Find the difference between the average high and the average low. 31. In the third quarter of a football game, a quarterback made a 5-yd gain, a 2-yd gain, a 10-yd loss, and then a 4-yd gain. a. Write an expression using addition to describe the quarterback’s movement. b. Evaluate the expression from part (a) to determine the quarterback’s gain or loss in yards. For Exercises 32–36, simplify each expression. 32. 33. 34. 35. 36. 3k 20 19k2 12 5x 4y 3 7x 6y 7 41p 52 18p 32 314m 8p 72 1 2 112p 42 1 3 12 6p2 For Exercises 37–40, evaluate each expression given the values x 4 and y 3 and z 7 . 37. y2 x 38. 3x 2y 39. y1x 22 40. y2 4x z 0
miller_beginning_intermediate_algebra_4e_ch1_3
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