Practice and Problem-Solving Exercises

A Practice

See Problem 1.

Find each product. Simplify, if necessary.

8. − 8 ( 12 ) negative 8 open 12 close
9. 8(12)
10. 7 ( − 9 ) 7 open negative 9 close
11. 5 · 4.1 5 middle dot 4.1
12. − 7 · 1.1 negative 7 middle dot 1.1
13. 10 ( − 2.5 ) 10 open negative 2.5 close
14. 6 ( − 1 4 ) 6 . open , negative , 1 fourth , close
15. − 1 9 ( − 3 4 ) negative , 1 ninth . open , negative , 3 fourths , close
16. − 3 7 ⋅ 9 10 negative , 3 sevenths , dot , 9 tenths
17. − 2 11 ( − 11 2 ) negative , 2 elevenths . open , negative , 11 over 2 , close
18. ( − 2 9 ) 2 open , negative , 2 ninths , close squared
19. ( − 1.2 ) 2 open negative 1.2 close squared

See Problem 2.

Simplify each expression.

20. 400 square root of 400
21. 169 square root of 169
22. − 16 negative square root of 16
23. − 900 negative , square root of 900
24. 36 49 square root of 36 over 49 end root
25. − 25 81 negative , square root of 25 over 81 end root
26. − 1 9 negative , square root of 1 ninth end root
27. − 121 16 negative , square root of 121 over 16 end root
28. ± 1.96 plus minus , square root of 1.96
29. ± 0.25 plus minus , square root of 0.25

See Problem 3.

Find each quotient. Simplify, if necessary.

30. 48 ÷ 3 48 divides 3
31. − 84 ÷ 14 negative 84 divides 14
32. − 39 ÷ ( − 13 ) negative 39 divides open negative 13 close
33. 63 − 21 63 over negative 21
34. − 46 ÷ ( − 2 ) negative 46 divides open negative 2 close
35. − 8.1 ÷ 9 negative 8.1 divides 9
36. − 121 11 negative 121 over 11
37. 75 ÷ ( − 0.3 ) 75 divides open negative 0.3 close
38. Scuba Diving A scuba diver's vertical position in relation to the surface of the water changes by − 90 negative 90  ft in 3 min. What is the average change in the diver's vertical position each minute?
39. Part-Time Job You earn the same amount each week at your part-time job. The total amount you earn in 4 weeks is $460. How much do you earn per week?

See Problem 4.

Find each quotient. Simplify, if necessary.

40. 20 ÷ 1 4 20 divides , 1 fourth
41. − 5 ÷ ( − 5 3 ) negative 5 divides open , negative , 5 thirds , close
42. 9 10 ÷ ( − 4 5 ) 9 tenths , divides . open , negative , 4 fifths , close
43. − 12 13 ÷ 12 13 negative , 12 over 13 , divides , 12 over 13

Find the value of the expression x y x over y  for the given values of x and y. Write your answer in the simplest form.

44. x = − 2 3 ; y = − 1 4 x equals , negative , 2 thirds , semicolon y equals , negative , 1 fourth
45. x = − 5 6 ; y = 3 5 x equals , negative , 5 sixths , semicolon y equals , 3 fifths
46. x = 2 7 ; y = − 20 21 x equals , 2 sevenths , semicolon . y equals negative , 20 over 21
47. x = 3 8 ; y = 3 4 x equals , 3 eighths , semicolon y equals , 3 fourths

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