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8. The (Addition, Distributive) Property can be used to
remove grouping symbols.
ANSWER: Study Guide and Review
Distributive
Choose the correct term to complete each
sentence.
1. An (equation, inequality) is a mathematical sentence
that contains a less than or greater than symbol.
9. The measure of the amount of space in a figure is
the (perimeter, area).
ANSWER: area
ANSWER: 10. A null or empty set is shown by the symbol (Ø, λ).
inequality
ANSWER: 2. (Perimeter, Area) is the distance around a geometric
Ø
figure.
Find the perimeter and area of each figure.
ANSWER: 11. Perimeter
3. The inequality symbol must be reversed when you
multiply or divide by a (positive, negative) number.
ANSWER: negative
4. When finding the area of a triangle multiply (2,
ANSWER: 20 ft, 25 ft²
)
by the product of the base and height.
12. ANSWER: 5. The symbol ≥ means (less than, greater than) or ANSWER: equal to.
22 m, 28 m²
ANSWER: greater than
13. 6. The statement d + 0 = d is an example of the
(additive, multiplicative) identity.
ANSWER: additive
7. The area of a rectangle is equal to the (sum,
product) of the length and width.
ANSWER: ANSWER: 12 cm, 6 cm²
product
8. The (Addition, Distributive) Property can be used to
14. remove grouping symbols.
ANSWER: Distributive
9. The measure of the amount of space in a figure is
the (perimeter,
area).
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ANSWER: area
ANSWER: 27 in., 27.5 in²
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15. GYMNASTICS The area of a gymnastics mat is
21. c – 12 = 4c – 12
ANSWER: Study
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12 cm, 6 cm²
14. ANSWER: 0
22. MOVIES An online DVD rental club has two
membership plans as shown. Write and solve an
equation to find how many months it would take for
the total cost of the two plans to be the same.
ANSWER: 27 in., 27.5 in²
15. GYMNASTICS The area of a gymnastics mat is
142.5 square feet. If the width of the mat is 9.5 feet,
what is the length?
ANSWER: 15 ft
Solve each equation. Check your solution.
16. 3a + 6 = 2a
ANSWER: –6
ANSWER: 20 + 5m = 30 + 3m; 5 months
Write an inequality for each sentence.
23. Jeremiah can spend at most $15 at the store.
ANSWER: j ≤ 15
24. There are more than 35 students in the band.
ANSWER: 17. 10 – x = 9x
ANSWER: 1
18. b – 6 = –b + 2
ANSWER: b > 35
For the given value, state whether each
inequality is true or false .
25. x + 6 > 7, x = 2
ANSWER: True
4
19. 5 + 2y – 12 = y + 9
26. 13 – a < 9, a = 10
ANSWER: ANSWER: 16
True
20. 9q + 6 = 6q – 9
27. 16 ≤ 4a, a = 4
ANSWER: ANSWER: –5
True
21. c – 12 = 4c – 12
28. 3m + 4 ≥ 12, m = 2
ANSWER: ANSWER: 0
False
22. MOVIES An online DVD rental club has two
membership plans as shown. Write and solve an
equation to find how many months it would take for
the total cost of the two plans to be the same.
29. 6x > 18, x = 3
ANSWER: False
30. 6b + 4 > 12, b = 2
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ANSWER: True
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ANSWER: 29. 6x > 18, x = 3
h >7
ANSWER: Study
Guide and Review
False
30. 6b + 4 > 12, b = 2
ANSWER: True
37. –5x < –13
ANSWER: x>
Solve each inequality. Graph the solution on a
number line.
31. x – 4 < 8
ANSWER: x < 12
38. x > 6
ANSWER: x >9
32. y + 3 ≥ 11
ANSWER: y ≥ 8
39. MUSIC Jose can spend at most $120 for CDs. If
each CD costs $20, write and solve an inequality to
show the maximum number of CDs Jose can buy.
33. a – 15 ≤ 3
ANSWER: a ≤ 18
ANSWER: 20x ≤ 120; x ≤ 6
Solve. Check your solution.
40. 8b + 5 = 21
ANSWER: b =2
34. x + 13 > –22
ANSWER: x > –35
41. 15 – 4n = –13
ANSWER: n =7
42. 12 = 6(z – 4)
35. –3z ≤ –24
ANSWER: ANSWER: z =6
z≥8
43. (12 + 4a) = 21
ANSWER: 36. 6h > 42
ANSWER: h >7
a =4
44. –4g – 5 ≥ –17
ANSWER: g ≤ 3
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ANSWER: 45. 18 > –12 + 6m
ANSWER: m<5
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44. –4g – 5 ≥ –17
ANSWER: Study Guide and Review
g ≤ 3
45. 18 > –12 + 6m
ANSWER: m<5
46. 24 – 3c ≤ 15
ANSWER: c ≥ 3
47. k + 9 < 5
ANSWER: k < –6
48. SALES A car sales associate receives a monthly
salary of $1700 a month plus $140 for every car he
sells. How many cars must he sell monthly to earn at
least $4500?
ANSWER: 20 cars
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