Chapter 1 Review

In Module I, we saw that formulas are used all the time in school and in everyday life. In order to evaluate a formula though, we have to be confident in our arithmetic skills. We reviewed addition, subtraction, multiplication, division, exponents, square roots, and order of operations, but more importantly, we used them to tackle real formulas.

Chapter 1 Review Problems

Perform the indicated operation for #1-53.

1. 23 + 14 + 57

   Check answer

   94

2. 156 + 198 + 377

3. 478 + 969

   Check answer

   1,447

4. 8961 + 4530

5. 875 + 641

   Check answer

   1,516

6. 905 + 728

7. 200 – 87

   Check answer

   113

8. 3000 – 1472

9. 1500 – 851

   Check answer

   649

10. 531 – 175

11. 1348 – 936

    Check answer

    412

12. 4421 – 3897

13. 6 x 18

    Check answer

    108

14. 7 x 42

15. 300 x 40

    Check answer

    12,000

16. 130 x 500

17. 1200 x 8000

    Check answer

    9,600,000

18. 740 x 10000

19. 65 x 73

    Check answer

    4,745

20. 84 x 89

21. 24 x 148

    Check answer

    3,552

22. 75 x 348

23. 135 x 642

    Check answer

    86,670

24. 307 x 52

25. 16 x 0

    Check answer

    0

26. 14 x 1

27. 1 x 234

    Check answer

    234

28. 0 x 138

29. $$145÷3$$

    Check answer

    48 R 1

30. $$650÷26$$

31. $$144÷9$$

    Check answer

    16

32. $$1356÷89$$

33. $$13÷1$$

    Check answer

    13

34. $$0÷56$$

35. $$\frac{5}{1}$$

    Check answer

    5

36. $$\frac{16}{0}$$

37. $$\frac{45}{4}$$

    Check answer

    11 R 1

38. $$\frac{103}{103}$$

39. $$\frac{57}{57}$$

    Check answer

    1

40. $$\frac{38}{1}$$

41. $$\frac{18700}{340}$$

    Check answer

    55

42. $$5^2$$

43. $${14}^2$$

    Check answer

    196

44. $$3^5$$

45. $$\sqrt{16}$$

    Check answer

    4

46. $$\sqrt{81}$$

47. $$\sqrt{121}$$

    Check answer

    11

48. $$\sqrt{25}$$

49. $$\sqrt{900}$$

    Check answer

    30

50. $$91-48÷8\times 13+3^2$$

51. $$(17-11+4^2)÷11$$

    Check answer

    2

52. $$89-(45÷3^2\times 2)+\sqrt{36}$$

53. $$\sqrt{(32+2^3-4)}$$

    Check answer

    6

54. Jubal went on a diet to lose weight. Before the diet, he weighed 247 pounds. After the diet he weighed 183 pounds. How much weight did he lose?

55. Aria went to the store to purchase some items. The items cost $13, $8, $2, $19, and $28. What is the total cost of all the items?

    Check answer

    $70

56. Kira is an elementary school teacher. She is taking her class on a field-trip to a museum. She has 38 students in her class. Many parents volunteered to drive. If each car holds 3 students, how many cars will Kira need to get all of the students to the museum?

57. Leann works at a department store and gets paid $461 each week. If she works 23 weeks, how much money will she have made?

    Check answer

    $10,603

The surface area of a box is given by the formula $S=2\mathrm{LW}+2\mathrm{LH}+2\mathrm{WH}$.

58. Find the surface area of a box if L = 13cm, W = 8 cm, and H = 5 cm.

59. Find the surface area of a box if L = 24 in, W = 16 in, and H = 12 in.

    Check answer

    1,728 sq in

Let’s look at the z-score formula again. $z=\frac{(x-\mu )}{\sigma }$

60. Find the z-score if $$x=62,\mu =56,\text{ and }\sigma =3$$.

61. Find the z-score if $$x=241,\mu =109,\text{ and }\sigma =12$$.

    Check answer

    11

Let’s look at the distance formula used in Algebra classes. $$d=\sqrt{{(x_2-x_1)}^2+{(y_2-y_1)}^2}$$

62. Find the distance if $$x_1=7,x_2=16,y_1=3,\text{ and }{y}_2=15$$.

63. Find the distance if $$x_1=20,x_2=25,y_1=14,\text{ and }{y}_2=26$$.

    Check answer

    13

Adapted from Preparing for Algebra and Statistics, Third Edition, by Matt Teachout. License: CC BY 4.0. Copyright and sources.