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7TH GRADE STUDY GUIDE
READ AND SOLVE THE PROBLEMS AS FOLLOWING
ALL TO BE PREPARED TO GET IN THE TRIMESTER EXAM 100
EVERY EVEN OR EVERY ODD TO ACHIEVE IN THE TRIMESTER EXAM 70

I Part

Short Answer

1. Use the Associative Property of Addition to find the total of 1, 10, and 18 in two different ways.

Name the property shown.

2. 5  7 = 7  5

3. (8  5)  11 = 8  (511)

4. Suppose you average 52 mi/h traveling on the highway. If you drive for 5 hours, how far will you travel?

Simplify the expression.

5. 6(6) + 6(4)

6. (10)9 – (10)11

7. 3x + 3x

8. 7d + 12 – 4d – 3

9. 2c + 2 + 5c

Use the Distributive Property to multiply.

10. 5(b + 8)

11. 9(4m + 1)

12. 5(2t – 5)

13. Name the coefficients in theexpression 4x + 9 – y.

14. Name the like terms in the expression 5a + 8 – 3a + 11.

15. Name the constant(s) in the expression 7x + 9y + 3.

State whether the equation is true, false, or an open sentence.

16.

17. 4(–3 + 5) = 4(–2 – 4)

Is the given number a solution of the equation?

18. 13 – d = 8; 5

19. c = 2c – 4; 8

20. Write an equation. Is the givenvalue a solution?

A farmer sees 56 of his cows out of the barn. He knows that he has 83 cows altogether. Let c represent the number of cows still in the barn. Are there 33 cows still in the barn?

Solve the equation.

21. a + 3 = 10

22. a – 4 = 12

23. y – 5 = –8

24. y + (–6) = –9

25. n – 40 – 26 = –35

26. 9b = 27

27. 8,000g = 48,000

28. –7b = 2129.

30.

31. Suppose you have 30 CDs. You know that you have 11 more CDs than your friend. Write and solve an equation to find the number of CDs your friend has.

32. The odometer in your mother’s car reads 2,000 miles less than the odometer in your uncle’s car. Your mother’s odometer reads 19,000 miles. Write and solve an equation to find the number of miles m on youruncle’s car.

33. Tom saves $5 each month. At this rate, how many months will he need to save $20?

34. Write an equation for the sentence below. Then solve the equation.

Thirteen multiplied by h is one hundred and four.

Graph the solutions of the inequality on a number line.

35.

36.

37. Write an inequality for the graph.

38. A road has a speed limit of 30mi/h. Write an inequality that describes the legal speeds r for motor vehicles.

39. Write an inequality for the sentence. Graph the solution on a number line.

c is not less than zero.

Solve the inequality. Graph the solutions.

40. a4  8

41. q–7 > 0

42. h– 2 < –1

43. Together, Louisa and Jill scored more than 30 points in the basketball game. If Jillscored 12 points, how many points P did Louisa score?

Solve the inequality.

44. 5n > –25

45. 42 < –6d

46.

47. > 10

48. 8

49. Jose has 9 more comic books than Robin. Robin has 5 more comic books than Lee.
a. | If Jose has 23 comic books, how many comic books does Robin have? |
b. | How many comic books does Lee have? |

Write the ratio as afraction in simplest form.

50. 30 : 48

51. 24 to 20

52. 6 out of 9

53. In the population of a particular country, the male-to-female ratio is 46 to 54. Write this ratio as a fraction in simplest form.

54. Marty has saved $72. He spent $8 on a video rental. Write a ratio as a fraction in simplest form to represent what portion of his savings he has left.

55. Graceand Jamal each bought notebooks for school. Grace bought 3 notebooks for $3.90 while Jamal bought 2 notebooks for $2.20. What was the unit price of each student’s notebooks?

56. Convert 2 qt/min to gallons per hour.

57. Convert 50 mi/h to feet per minute.

58. Grete Waitz won the New York Marathon nine times. The rate at which she ran during her last victory in 1988 was 26 miles...
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