This document contains a study guide for a 2nd 9 weeks math review. It includes 29 practice problems covering various math topics like inequalities, proportions, scale drawings, unit rates, and solving equations. For each problem, students are instructed to show their work on paper and review the answers provided after sets of problems. The goal is to prepare for an upcoming math test by working through examples and checking answers.

1. 2nd 9 weeks review
Individual Study Guide

2. Answer the problems
on a sheet of paper.
Be sure to number
each problem.

3. • 1. When do you reverse the inequality sign?
• 2. What symbols will indicate a shaded circle
when you graph an inequality

6. Now, take a few minutes to review the
answers to
# 1-5

7. Answers
• 1. You reverse the inequality sign when you
multiply or divide both sides by a negative
number.
• The symbols that indicate a shaded circle on
an inequality are: > or <

10. Work the following problems on
your paper. Be sure to show
your work.

11. Solve. Do not graph.

12. Solve & Graph.

14. Now, take a few minutes to review the
answers to
# 6-11

17. $14.95 = x
23 Bks 1 book
$.65 per book
Jeremy
$11.90 = x
17 Bks 1 book
X = $.70 per book
Marissa
Jeremy got the better deal

18. Work the following problems on
your paper. Be sure to show
your work.

19. Solve for the variable.

20. 16. Determine if the pentagons are
similar.

21. 17.
(Width)

22. Now, take a few minutes to review the
answers to
# 12-17

26. Work the following problems on
your paper. Be sure to show
your work.

30. Now, take a few minutes to review the
answers to
# 18-20

34. Work the following problems on
your paper. Be sure to show
your work.

35. 21. You can get 1200 calories from
eating 4 burritos. How many calories
can you get from eating 1 burrito?

36. 22. A model doll house is built to a
scale of 3cm = 5 meters. If the model is
9.4 cm tall, how tall is the actual
dollhouse?

37. 23. Find the unit price for a 48 oz
bottle of laundry detergent for $6.79.

38. 24. Solve for x

39. Now, take a few minutes to review the
answers to
# 21-24

40. 21. You can get 1200 calories from
eating 4 burritos. How many calories
can you get from eating 1 burrito?
1200 calories = x calories
4 burritos 1 burrito
X = 300 calories

41. 22. A model doll house is built to a
scale of 3cm = 5 meters. If the model is
9.4 cm tall, how tall is the actual
dollhouse?
Model = 3 cm = 9.4cm
Actual = 5 meters x meters
x = 15.66 meters

42. 23. Find the unit price for a 48 oz
bottle of laundry detergent for $6.79.
$6.79 x
48 oz = 1 oz
$.14 per oz

43. 24.
12 = x
16 24
X = 18

44. Work the following problems on
your paper. Be sure to show
your work.

45. 25.

46. 26.
• A line on your blueprint measures 12 inches
long with a ruler. The scale factor of the
blueprint is ¼”(inch) = 1’ (foot). What is the
measurement of the wall for the actual
building?

47. 27.
• The scale factor on the toy train is 1/64, which
means 1 inch on the toy is equal to 64 inches
on the train. If the train’s wheel measures 45
inches, what will it measure on the toy car?
Round to the nearest hundredth.

48. Now, take a few minutes to review the
answers to
# 25-27

49. 25.
Side 6 = x
Bottom 15 10
X = 4

50. 26.
• A line on your blueprint measures 12 inches
long with a ruler. The scale factor of the
blueprint is ¼”(inch) = 1’ (foot). What is the
measurement of the wall for the actual
building?
Model 1 in = 12
Actual 4 feet x
X = 48

51. 27.
• The scale factor on the toy train is 1/64, which
means 1 inch on the toy is equal to 64 inches
on the train. If the train’s wheel measures 45
inches, what will it measure on the toy car?
Round to the nearest hundredth.
Model = 1 in toy = x
Actual 64 in train 45 in train
x = .70 inches

52. Work the following problems on
your paper. Be sure to show
your work.

53. 28.

54. 29.

55. Now, take a few minutes to review the
answers to
# 28-29

56. 28.
4g – 12 + 1 < 5
4g – 11 < 5
+ 11 +11
4g < 16
/4 /4
g < 4

58. You are done!!!
Good luck on your math test!!