Download Ch 7 Review

Pre-Algebra
Unit 7 Review
Name ______________________________________________
Convert each fraction to a percent.
1
1.
8
a)
b)
c)
d)
2.
Period ________
5
3
a)
b)
c)
d)
Convert each percent to a fraction.
3. 70%
4. 350%
a)
b)
c)
d)
a)
b)
c)
d)
Convert each percent to a decimal.
5. 125%
6. 3.75%
a)
b)
c)
d)
a)
b)
c)
d)
Find the percent described in the event below.
7. There are 10 eggs left in a carton that normally contains 18 eggs. What is the percent of eggs that
remain?
a)
b)
c)
d)
Pre-Algebra
Unit 7 Review
Solve each percent problem.
8. What is 40% of 75?
a)
b)
c)
d)
9. 30 is what percent of 90?
a)
b)
c)
d)
10. 55 is 20% of what number?
a)
b)
c)
d)
Find the Increase or Decrease and the Percent of Change.
11. From $48 to $36.
a)
b)
c)
d)
12. From 54 inches to 45 inches.
a)
b)
c)
d)
Find the selling price for each item given the percent markup or discount.
13. A $49.99 video game with 20% markup.
a)
b)
c)
d)
14. A $24.59 meal with a 15% off coupon.
a)
b)
c)
d)
Pre-Algebra
Unit 7 Review
Simple Interest
Use the formula I = p r t to find the simple interest to the nearest cent.
15. $1200 at 4% for 2 years.
a)
b)
c)
d)
Compound Interest
Find the total amount in an account if the interest is compounded annually. Use the Simple Interest
Formula above 3 times or the formula B  p (1  r)t where t = 3.
16. $5000 at 8% for 3 years.
a)
b)
c)
d)
Use the table to answer #17 and #18 about circle graphs.
17. Find the percentage of athletic shoe purchases for the
45-64 age group.
a)
b)
c)
d)
18. Find the measure of the central angle for the 45-64 age
group.
a)
b)
c)
d)
Pre-Algebra
Unit 7 Review
19.
20.
Unit 1 Review
21. Choose the correct graphs when plotting the given irrational numbers on a number line.
7 ,  17
a)
b)
c)
d)
Unit 7 Review
Pre-Algebra
For #22 and #23, evaluate the expressions.
22. 4  23 (8  3)
a)
b)
c)
d)
23.  x  y
30
17
45
44
a)
b)
c)
d)
Evaluate for x = 2 and y = -3.
5
-1
-5
1
For #24 and #25, simplify the expressions.
100
24.
a)
b)
c)
d)
2 8
25.
10
100
50
1
a)
b)
c)
d)
4
6
2
8
Unit 2 Review
Write an algebraic expression for each of the following word statements. Let n = the unknown
number.
26. The sum of a number and 5
Choices for #26 to #29:
27. The product of a number and 5
a) 5  n
b) n  5
28. The difference of a number and 5
c)
n
5
d) n  5
e)
5
n
ab) 5n
29. The quotient of a number and 5
Unit 7 Review
Pre-Algebra
Simplify the following expressions.
x  y  2x  5 y
30.
a)
b)
c)
d)
3  4(5x  3)
31.
 x  6y
 6 xy
 2  5y
 2x  5 y
a)
b)
c)
d)
 20x  15
 20x  9
35x  21
35x  3
Choose the equivalent expressions.
32. 8  x  x  x
a)
(8 x) 3
b)
c)
d)
3 3
(3 x ) 5
33.
a) 3  x  x  x  x  x
b) 3  5  x  x  x  x  x
c) 3x  3x  3x  3x  3x
d) 3 5  x
8 x
8 3 x
8x 3
Simplify each expression.
34. 10 2  10 4
a)
b)
c)
d)
1016
10 24
108
106
3x 4 x 
5
35.
a)
b)
c)
d)
7x6
7x5
12x6
12x5
Unit 7 Review
Pre-Algebra
36.
3y 
5 2
a)
b)
c)
d)
6 y10
6 y7
9 y7
9 y10
h2
h6
37.
a)
1
h3
b) h3
c)
1
h4
d) h 4
Unit 4 Review
Solve each equation.
38.  9 
a)
b)
c)
d)
g
2
 3 y  16  10
39.
– 4.5
18
–18
4.5
a)
b)
c)
d)
3
-3
2
-2
Unit 5 Review
Solve each equation.
40. 4 ( x  1)  28
a)
b)
c)
d)
8
6
5
4
3x  9  5x  50
41.
a)
b)
c)
d)
–32.5
–29.5
–30.25
–27.25
Unit 7 Review
Pre-Algebra
For the given value, state whether the inequality is TRUE or FALSE.
42.  5 y  5
a)
b)
if
y  2
x59
43.
True
False
a)
b)
if x  4
True
False
Match each statement with the correct number line.
44.
x5
45.
x5
46.
5 x
a)
c)
e)
b)
5
d)
5
5
Solve each inequality.
47.
x  5  4
a)
b)
c)
d)
x  9
x  1
x  9
x  1
48.  12k  48
a)
b)
c)
d)
x4
x  4
x4
x  4
5
5
Unit 7 Review
Pre-Algebra
Write an inequality for each graph.
49.
50.
-3
a)
b)
c)
d)
-2
-1
0
1
x  2
x  2
x  2
x  2
-1
0
a)
b)
c)
d)
Find the perimeter and area of the rectangle.
1
2
3
x 1
x 1
x 1
x 1
Formulas: P  2b  2h or 2(b  h) and A  b h
3
7
51. Find the Perimeter.
a)
b)
c)
d)
10
20
15
21
52. Find the Area.
a)
b)
c)
d)
Find the perimeter and area of each square.
10
20
15
21
Formulas: P  4 s and A  s  s or A  s 2
12
53. Find the Perimeter.
a)
b)
c)
d)
144
24
48
36
54. Find the Area.
a)
b)
c)
d)
144
24
48
36
Unit 7 Review
Pre-Algebra
Find the perimeter and area of each triangle.
12
8
Formulas: P  add up the sides and A  12 b h
9
10
55. Find the Perimeter.
a)
b)
c)
d)
39
31
80
40
56. Find the Area.
a)
b)
c)
d)
39
31
80
40
Problem Solving
57.
The perimeter of a rectangle is 40.
If the width is 5, then what is the length?
a)
b)
c)
d)
15
35
20
30
58. The perimeter of a square is 64.
What is the length of its side?
a)
b)
c)
d)
4
6
16
8
Unit 7 Review
Pre-Algebra
59.
The area of a square is 64.
What is the length of its side?
a)
b)
c)
d)
60.
The area of a triangle is 28.
If the base is 4, then what is its height?
4
16
16
8
a)
b)
c)
d)
9
21
7
14
Unit 6 Part 1 Review
Express each ratio as a fraction in simplest form.
61.
8 boys to 12 girls
62.
a) 12 to 10
b) 10 to 8
c) 3 to 2
You drove 300 miles in 5 hours
a) 60 miles per hour
b) 60 hours per mile
c) 40 miles per hour
Complete each conversion. Round to the nearest hundredth.
63.
18 cm ≈
in
64. 5 gal ≈
L
65. 15 lb ≈
kg
Unit 7 Review
Pre-Algebra
Problem Solving. Round each answer to the nearest hundredth.
66.
Chicken at Safeway sells for $3.59 per pound. How much is that per ounce?
[ 1 pound is 16 ounces ]
67.
Kristen drives 2 miles per minute. What is this rate in feet per hour?
[ 1 mile is 5280 feet ]
Determine whether each relation is proportional.
68.
Blue Paint
(quarts)
Yellow Paint
(quarts)
a) Yes
70.
1
2
3
4
5
10
15
20
69.
b) No
a)
Yes
b) No
4 3

12 9
a) Yes
b) No
Solve each proportion.
71.
x 3

24 6
72.
36 4

45 x
Unit 7 Review
Pre-Algebra
12
3

x  10 7
73.
Unit 6 Part 2 Review
For each triangle in problems #74 and #75, use the Pythagorean Theorem to solve.
x
74.
10
76.
6
75. A right triangle has leg lengths of 21 cm and 28 cm.
What is the length of the hypotenuse?
Scale Drawing
The dimensions of two scale drawings of the Statue of Liberty are given below. Find the height of the larger
drawing.
2.5 inches
???
½ inch
2 inches
Unit 7 Review
Pre-Algebra
77.
2
78.
79.
80.
81.
Pre-Algebra
82.
83.
83.
Unit 7 Review
Unit 7 Review
Pre-Algebra
Operational Words:
Sum
Difference
Product
Quotient
Addition
Subtraction
Multiplication
Division
Order of Operations:
P
E
M
D
A
S
parenthesis and other grouping symbols
exponents
multiplication
Multiply and divide from left to right.
division
addition
Add and subtract from left to right.
subtraction
Some perfect squares:
4
9
16
25
36
49
64
81
100 121 144 169 196 225
Rules of Exponents:
Product of Powers:
Quotient of Powers:
a m  a n  a m n
am
n
a
am
an
 a mn

1
anm
if m  n
if n  m
Power of a Power:
a 
Power of a Product:
abn  (a n )(bn )  a nbn
Power of a Quotient:
(a) n a n
a

 n
 
n
b
(b)
b
 
m n
n
 a mn
Unit 7 Review
Pre-Algebra
Length
Capacity
Mass or Weight