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Pre-Algebra Final Review

Total questions: 110

Worksheet time: 28hrs 30mins

Name
Class
Date
1.

6 + y = -8

a)

14

b)

-14

c)

-2

d)

-3

2.

3 (2x + 3) = 2 (x + 4)

a)

x=-1/4

b)

x=17/4

c)

x=-1/8

d)

x=4

3.

4 (x + 4) = 2 (4x +2)

a)

x=2

b)

x=1

c)

x=4

d)

x=3

4.

Translate into an equation:

Twice a number decreased by 5 is 7 more than the number.

a)

5 - 2n = 7 + n

b)

2n - 5 = 7 + n

c)

5 - 2n = n +7

5.

Solve: 7x – 4y = 34

for y when x = 2

a)

x= 5

b)

x = -5

c)

y=5

d)

y=-5

6.

Solve: ¾x + 3y = 12

for x when y = 3

a)

y= 4

b)

x=6

c)

x=4

d)

y= 12

7.

43 – (9² + 16)

a)

9

b)

-54

c)

-9

d)

-43

8.
Are the following similar? Why or why not?
a)
Yes
b)
No, the corresponding angles are not equal.
c)
No, the ratios of the corresponding sides are not equal.
9.
The pair of figures is similar. Find the missing side.
a)
x = 1
b)
x = 3
c)
x = 9
d)
x = 5
10.
Tell whether the two figures are similar. Explain your reasoning.
a)
Yes, similar because they are the same shape and side lengths are proportional.
b)
No, not similar because they are the same shape, but side lengths are not proportional.
c)
Yes, same shape
d)
No, different sizes
11.
Are the following similar? Why or why not?
a)
Yes. All pairs of corresponding angles are congruent.
b)
No, the corresponding angles are not equal.
c)
No, the ratios of the corresponding sides are not equal.
12.
Which statement matches the graph?
a)
Taylor can write 6 words per minute
b)
Taylor can write 25 words per minute
c)
Taylor can write 50 words per minute
d)
Taylor can write 150 words per minute
13.
What type of number is π ?
a)
Rational
b)
Irrational
14.
Which number is irrational?
a)
9.6
b)
√45
c)
3/8
d)
3.4 x 10 ⁵
15.
Which number is a rational number ?
a)
1/4
b)
π
c)
√3
d)
∛25
16.
The image shows what type of transformation
a)
Rotation
b)
Translation
c)
Reflection
17.
Determine how to translate triangle ABC to triangle A'B'C'.
a)
(x-2, y+5)
b)
(x+2, y-9)
c)
(x-2, y+9)
d)
(x-9, y+2)
18.
A slide is also called a _________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
19.
Reflect the point (2, -4) over the y-axis.
a)
(-4, 2)
b)
(-2, 4)
c)
(-2, -4)
d)
(2, 4)
20.
Identify the transformation from ABC to A'B'C'.
a)
Reflection across the x-axis
b)
Reflection across the y-axis
c)
90o clockwise rotation
d)
90o counterclockwise rotation
21.
Find the length of the missing side. 
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
22.
Find the length of the missing side. 
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
23.
Find the missing side
a)
9
b)
41
c)
6.4
d)
3
24.

A fitness club has 80 members. The club's membership increases by 15 each month. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?

a)

y=15x

b)

y=15x+80

c)

y=x+15

d)

y=80x+15

25.

Adrianna has $20 in her savings account. She will add $5 every week to it. Which equation represents this situation?

a)

y=25x

b)

y=20x+5

c)

y=5x+20

d)

y=5x

26.

Simplify.

a)
b)
c)
d)
27.

Multiply. Express the result in scientific notation.

(5.2 x 103)(6.0 x 10-7)

a)

31.2 x 10-4

b)

3.12 x 10-3

c)

-31.2 x 104

d)

0.00312

28.

Write in simplest form:

a)
b)
c)

15

d)

5f3n

29.

Find the surface area of this space figure. Use 3.14 for pi. Label appropriately. CALCULATOR OK for this problem.

a)

212.81m3

b)

571.48 m2

c)

42 m2

d)

923.16 m2

30.

Find the volume of this space figure. Label appropriately. CALCULATOR OK for this problem.

a)

189 m3

b)

571.48 m2

c)

378 m3

d)

593.46 m3

31.

Beth scored 16 points, 23 points, 19 points, and 23 points in the first four games of the basketball season. how many points must she score in her next game to average 20 points per game for the first 5 games?

a)

21

b)

16

c)

20

d)

19

32.
a)
0.015
b)
0.0015
c)
150
d)
1500
33.
Find the sale price of an item that sells for $45, but is 15% off.
a)
$6.75
b)
$675
c)
$38.25
d)
$51.75
34.
Identify the property shown by the statement:
5 + (-7) = (-7) + 5
a)
Commutative of Multiplication
b)
Commutative of Addition
c)
Associative of Addition
d)
Identity of Addition
35.
Write an algebraic expression:  the quotient of a variable and 6 more than 4
a)
6g + 4
b)
4 - 6g
c)
g/6 - 4
d)
g/6 + 4
36.
(6a3b4)2
a)
6a5b6
b)
6a6b8
c)
36a6b8
d)
36a5b6
37.
Every whole number is a real number.
a)
True 
b)
False
38.
Every whole number is a natural number.
a)
True
b)
False
39.
Some rational numbers are irrational numbers.
a)
True
b)
False
40.
Every rational number is an integer.
a)
True
b)
False
41.
Simplify:  -5b4 x 3b3
a)
-15b7
b)
-53b7
c)
-15b12
d)
b12
42.
Solve the proportion:
a)
4
b)
8
c)
14
d)
10
43.
Solve for x 
a)
x = 15
b)
x = 11
c)
x = 1/11
d)
x = 20
44.

What is a better value for cheese?

a)

Kraft , because it's $2.29 per oz

b)

Simple, because it's $1.88 per oz

c)

Kraft, because it's $0.44 per oz

d)

Simple, because it's $0.53 per oz

45.
A special parallelogram in which all the sides are the same length. 
a)
hexagon
b)
rhombus
c)
rectangle
d)
pentagon
46.
A special parallelogram with four right angles and all the sides the same length. 
a)
rectangle
b)
square
c)
trapezoid
d)
rhombus
47.
A quadrilateral with two pairs of parallel lines. 
a)
parallelogram
b)
trapezoid
c)
hexagon
d)
pentagon
48.
Name the figure.
a)
point
b)
line
c)
ray
d)
line segment
49.
Name the figure.
a)
ray
b)
line
c)
line segment
d)
point
50.
This is what kind of angle?
a)
right
b)
acute
c)
obtuse
d)
straight
51.
Name the figure.
a)
line segment
b)
line
c)
point
d)
ray
52.
What is the name of the PURPLE line?
a)
AB
b)
BC
c)
BD
d)
AD
53.
This is what kind of angle?
a)
obtuse
b)
right
c)
straight
d)
acute
54.
What are complementary angles?
a)
Angles that add up to 180°
b)
Angles that add up to 90°
c)
Angles that are equal to each other
d)
Angles that are opposite of each other when lines intersect.
55.
What are supplementary angles?
a)
Angles that add up to 180°
b)
Angles that add up to 90°
c)
Angles that are equal to each other
d)
Angles that are opposite of each other when lines intersect
56.
What is the complement angle to 30°?
a)
60°
b)
30°
c)
150°
d)
230˚
57.
The supplement of an angle is 65 °. What is the measure of the angle?
a)
25°
b)
15°
c)
115°
d)
35°
58.
If angle ∠ABD is 67°. What is ∠DBC?
a)
113°
b)
90°
c)
67°
d)
23°
59.
What is the value of x?
a)
90
b)
70
c)
35
d)
60
60.

Which is the correct area formula for Trapezoids?

a)
b)
c)
61.

In a trapezoid, the bases are always_________.

a)

congruent

b)

parallel

c)

perpendicular

62.

What is the area of this parallelogram?

a)

38 m2

b)

56 m2

c)

77 m2

d)

88 m2

63.

What is the area of this triangle?

a)

14 units2

b)

24 units2

c)

48 units2

64.

What is the area of this trapezoid?

a)

48 m2

b)

68 m2

c)

88 m2

d)

136 m2

65.
Match the graph with its inequality.
a)
b > –2
b)
b < –2
c)
b ≥ –2
d)
b ≤ –2
66.
Combine like terms
3x + 2x + 3y - 7y
a)
5x + 10y
b)
5x + 4y
c)
5x - 4y
d)
5x -10y
67.
What is the total surface area of the cylinder to the nearest square inch? 
a)
625 in2
b)
1300 in2
c)
1046 in2
d)
414 in2
68.
Find the lateral surface area of the figure.
a)
456 m2
b)
1444 m2
c)
1245 m2
d)
816 m2
69.
Find the surface area of this cone.
a)
65π ft.2
b)
60π ft.2
c)
90π ft.2
d)
130π ft.2
70.
Find the surface area of the pyramid. 
a)
168 m2
b)
228 m2
c)
390 m2
d)
196 m2
71.
What is the total surface area of the rectangular pyramid whose net is shown?
a)
400 in2
b)
800 in2
c)
1,200 in2
d)
1,600 in2
72.
What is the total surface area of the triangular prism shown? 
a)
468 in2
b)
540 in2
c)
576 in2
d)
700 in2
73.
Find the area of the figure.
a)
120 cm2
b)
124 cm2
c)
148 cm2
d)
184 cm2
74.
What is the area of the shaded region?
a)
4 cm2
b)
16 cm2
c)
8 cm2
d)
12 cm2
75.

Find the total surface area of the cone. Round to the nearest tenth.

a)

37.7 m²

b)

50.3 m²

c)

75.4 m²

d)

25.1 m²

76.

Find the total surface area of this figure.

Round to the nearest hundredth.

a)

84.44 sq in

b)

25.25 sq in

c)

104.62 sq in

d)

56.52 sq in

77.

Find the LATERAL surface area of the cone. Round to the nearest tenth.

a)

252.6 sq. cm

b)

217.6 sq. cm

c)

365.7 sq. cm

d)

435.2 sq. cm

78.

Find the LATERAL surface area of the cone.

a)

1180.7 sq. in

b)

703.7 sq. in

c)

1017.4 sq. in

d)

2597.5 sq. in

79.
A cone is placed inside a cylinder.  The two figures have the same base area and the same height.  What is the volume of the cylinder that is not taken up by the cone?
a)
314.16
b)
471.24
c)
235.62
d)
157.08
80.
A spherical Christmas ornament is filled halfway with snow.  The ornament has a diameter of 4 inches.  What is the volume of snow in the ornament?
a)
33.51
b)
10.67
c)
16.76
d)
8.38
81.
Find the lateral surface area of the figure.
a)
314.16
b)
196.35
c)
471.24
d)
157.08
82.

What is the volume, in cubic meters, of the sphere?

a)

602.88

b)

1808.64

c)

57876.48

d)

7234.56

83.

What is the volume, in cubic inches, of the cone?

a)

33.49

b)

133.97

c)

401.92

d)

267.95

84.

What is the height of the cone?

a)

10

b)

31.6

c)

30

d)

360

85.
A snack bar sells popcorn in cone-shaped containers. One container has a diameter of 8 inches and a height of 10 inches. How many cubic inches of popcorn does 3 containers hold? Round to the nearest tenth.
a)
502.4 in3
b)
167.5 in3
c)
251.2 in3
d)
83.7 in3
86.
Find the volume of the figure. Round to the nearest whole number.
a)
144 cm³
b)
288 cm³
c)
48 cm³
d)
24 cm³
87.
Find the volume of the figure.
a)
150.72 cm³
b)
75.36 cm³
c)
452.16 cm³
d)
151 cm³
88.
Rewrite using a positive exponent.
(-5)-4
a)
(-5)4
b)
1/(-5)-4
c)
1/(-5)4
d)
-625
89.
Simplify.
2-3 ⋅ 2-4
a)
1/128
b)
2-7
c)
212
d)
27
90.
Simplify.
s-5 ⋅ s-2
a)
s-3
b)
1/s7
c)
s-7
d)
1/s3
91.
Simplify (-4r5)(2r8)
a)
-8r13
b)
-2r13
c)
-8r40
d)
-2y40
92.
Simplify
(-7y2)(5y4)
a)
-35y6
b)
-2y6
c)
-35y8
d)
-2y8
93.
Simplify the following:
(x2y)5
a)
x7y5
b)
x2y5
c)
x10y5
d)
x5y5
94.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
95.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
96.
a)
9-4
b)
9-45
c)
3-4
d)
3-45
97.
a)
0
b)
3
c)
1
d)
-1
98.
Solve the following:
-2 x (3 + 8 ÷ 4)2
a)
-16
b)
1.375
c)
4
d)
-50
99.
Find and explain the error.    
                  5 - 3 + 2
    =    5 - 5
=       0
a)
There is no error.
b)
Addition was done first and you should have subtracted first
c)
There is a subtraction error
100.

2 + [(20 - 13) x 5] ÷ (4 + 3)

a)

5

b)

6

c)

7

d)

8

101.
What is 19% of 50?
a)
9.5
b)
10
c)
15
d)
11
102.
75% of what number is 48?
a)
48
b)
100
c)
64
d)
75
103.
120% of what number is 72?
a)
120
b)
60
c)
75
d)
100
104.

Chelsea has played 4 games so far this season and scored on the average 3 goals per game. The average number of goals in the first 3 games was 2 goals per game. How many goals did Chelsea score in the 4th game?

a)

4

b)

5

c)

6

d)

7

105.

In a set of three numbers, the average of first two numbers is 2, the average of last two numbers is 3, and the average of the first and the last numbers is 4. What is the average of three numbers?

a)

2

b)

2.5

c)

3

d)

3.5

106.

Jenny read 12 pages on Monday, 25 pages on Tuesday and a couple of pages on Wednesday. On the average, she read 23 pages per day during these 3 days. How many pages did she read on Wednesday?

a)

25

b)

20

c)

30

d)

32

107.
3/7  of 8th graders in Madisonville play sports.  If 3/5 of the 8th graders that play sports are boys, what fraction of 8th grade boys play sports?
a)
6/12
b)
36/35
c)
9/35
d)
3/5
108.
Brynlee is selling pies for a band fundraiser.  They make $5.50 profit for every pie they sell.  How many must they sell in order to make a profit of at least $100?
a)
19 pies
b)
18 pies
c)
550 pies
d)
100 pies
109.
Jordyn bought 4 gallons of gasoline and it cost $16.80. What is the price per gallon?
a)
$67.20 per gallon
b)
I have no clue!
c)
$3.00 per gallon
d)
$4.20 per gallon
110.
The currency in Bolivia is the Boliviano. The exchange rate is approximately $1 to 8 Bolivianos. At this rate, how many Bolivianos would you get if you exchanged $3?
a)
24
b)
32
c)
36

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