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Math 9 Exam Review

Total questions: 100

Worksheet time: 5hrs 7mins

Name
Class
Date
1.
Which is greater,  26540 or 50?
a)
26540
b)
50
c)
They are the same
d)
Zero is greater
2.
Which is equivalent to 7 x 7 x 7 x 7 x 7 x 7 
?
a)
75
b)
76
c)
67
d)
77
3.
Which is equivalent to 24?
a)
8
b)
20
c)
16
d)
12
4.
Which is GREATER?
27 or 72
a)
27
b)
72
c)
Neither, they are equal
5.
What is the 71  ?
a)
1
b)
7
c)
0
d)
14
6.
What is nine cubed in exponential form?
a)
9 x 9 x 9 
b)
93
7.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
8.
Which number is the BASE?
23 = 8
a)
2
b)
3
c)
8
9.
What is 93 in standard form?
a)
840
b)
81
c)
9 x 9 
d)
729
10.
Which is equivalent to 34
a)
27
b)
9
c)
81
d)
12
11.
Evaluate.
25
a)
10
b)
25
c)
32
d)
Answer Not Given
12.
0.33333 is considered a ________ decimal
a)
repeating
b)
terminating
13.
A fraction is which type of number?
a)
Rational
b)
Irrational
c)
Integer
d)
Whole
14.
Which number is farthest from 0?
a)
-6
b)
-4
c)
3
d)
5
15.
Order from greatest to least: -12, 15, -1, 3, 
a)
15, 3, -1, -12
b)
15, 3, -12, -1
c)
-1, -12, 3, 15
d)
-12, -1, 3, 15
16.
Convert 2/5 from a fraction to a decimal.
a)
.02
b)
.04
c)
.2
d)
.4
17.
What is .67 as a fraction?
a)
67/100
b)
67/1000
18.
Convert 15/2 into a mixed number.
a)
6 1/2
b)
7 1/2
c)
8
d)
8 1/2
19.
The temperature in a town is 34.1°F during the day and −8.6°F at night. Find the difference in the temperatures.
a)
42.7
b)
25.5
c)
42.7°F
d)
25.5°F
20.
In his garden Tim plants a tomato seed 5¼ inches below the ground. After one month the tomato plant has grown a total of 11½ in. How many inches is the plant above the ground?
HINT: Find the difference.
a)
16¾ inches
b)
6½ inches
c)
6¼ inches
21.
√ 16 
a)
8
b)
3
c)
4
d)
6
22.
172 =
a)
34
b)
289
c)
225
d)
324
23.
What is the Square Root of 289?
a)
17
b)
16
c)
15
d)
18
24.

A perfect square is when a number is multiplied by itself?

a)

FALSE

b)

TRUE

25.
Between which two whole numbers is the
√5?
a)
1 and 2
b)
2 and 3
c)
3 and 4
d)
4 and 5
26.

Find the surface area of the figure.

a)

96 ft2

b)

192 ft2

c)

84 ft2

d)

108 ft2

27.

Mr. Murphy wants to paint his storage shed. He needs to calculate the lateral surface area of the shed so he will know how much paint to buy. The shed is in the shape of a rectangular prism shown below.

Including the doors, what is the lateral surface area of the storage shed in square feet?

a)

784 ft2

b)

266 ft2

c)

532 ft2

d)

434 ft2

28.
What is the total surface area of the triangular prism shown? 
a)
468 in2
b)
540 in2
c)
576 in2
d)
700 in2
29.
What is the surface area of this figure?
a)
200 cm 2
b)
800 cm 2
c)
400 cm 2
d)
100 cm 2
30.
What is the area of the shaded region?
a)
14 m2
b)
120 m2
c)
106 m2
d)
134 m2
31.

Calculate the surface area.

a)

4200.4 cm2

b)

4000.1 cm2

c)

3860.4 cm2

d)

3200.16 cm2

32.
6 - 2 ⋅ 5
a)
-4
b)
-20
c)
20
d)
4
33.
5 ⋅ (7 -2) + (8+1)
a)
70
b)
77
c)
42
d)
34
34.
15 + 6 - 10
a)
11
b)
19
c)
13
35.

What is the equation? (remember y=mx+b ... what is the "b" and what is the "m"?)

a)

y = x + 5

b)

y = 5x

c)

y = x - 5

d)

y = 7x

36.

The table displays the charges for cleaning different ares using Alyssa's Carpet Cleaning Service. Use the data from the table to right to create an equation for how much it would cost, c, for any area, a, to be cleaned.

a)

c = 45a +.05

b)

c = 55a +.07

c)

c = .05a + 45

d)

c = .07a +55

37.
The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of airtime usage.  If Juanita uses x minutes of airtime, what is an equation that can be used to determine her monthly cell phone bill (C)?
a)
C = 0.20x + 15
b)
C =15 (0.20x)
c)
C = 15 + x + 0.20
d)
C = 0.20 + 15x
38.

Easy Car Rental charges $8.50 an hour plus a rental fee of $25.50. What equation represents this scenario?

a)

y = 8.5 + 25.5

b)

y = 8.5x + 25.5

c)

y = 8.5 + 25.5x

d)

y = 8.5x + 25.5x

39.

A man is climbing down from 100 feet high descending 30 feet per minute. What equation represents this scenario?

a)

y = 100 - 30x

b)

y = 100 + 30x

c)

y = 100x + 30

d)

y = 100x - 30

40.
An internet company charges a $100 set up fee, and then they charge $35 a month after that.  What is the y-intercept?
a)
$100
b)
$35
c)
$135
d)
$65
41.
At Joe's Clown Car Rental Agency, renting a car costs $35 plus $0.75 for every mile it is driven. 
a)
y = x(35 + 0.75)
b)
y = 35x + 0.75
c)
y = 0.75x + 35
d)
y = 0.75(x + 35)
42.

Multiply

x(x-2)

a)

x2-2x

b)

2x+2

c)

x2+2x

d)

x2+6x

43.
Multiply
x2(2x+3)
a)
x2+2x+3
b)
2x+3
c)
2x2+3x
d)
2x3+3x2
44.

Multiply

(x2-2x+1)(x)

a)

x3-2x2+x

b)

x3-2x+2

c)

x3+x2+x+1

d)

x3-3x2-3x+1

45.

Multiply

(10x+6) ÷ (2)

a)

20x + 12

b)

10x + 3

c)

5x + 3

d)

5x + 6

46.

Find the quotient:

( 4x2 - 2x) ÷ (2x)

a)

2x2 - x

b)

4x2

c)

2x2 - x

d)

2x - 1

47.
Simplify:
2x ( -2x -3)
a)
-4x - 3
b)
x2 - 3
c)
-4x2 - 6x
d)
-4x - 6
48.
Find the sum of the polynomial.
(-6x2+3x- 7) +(10x2+4x-2)
a)
14x2+7x+5
b)
4x2+7x-9
c)
4x4+7x2-9
49.

Find the sum.

(3y2 + y3 - 5) + (4y2 -4y + 2y3 + 8)

a)

3y3 + 7y2 - 4y + 3

b)

4y2 + 3y3 - y + 3

c)

-y4 + 2y3 -y - 4

d)

4y3 + 3y2 -3y + 1

50.
Solve. 𝑥 + 32.6 = 46
a)
𝑥 = 13.4
b)
𝑥 = 40.4
c)
𝑥 = 8.2
d)
𝑥 = 72.6
51.

What scenario could be represented by this equation?

18 + m = 45

a)

Josh bought 18 pencils every day for 45 days. If m represents the number of pencils, how many pencils does he have now?

b)

Josh had 18 pencils. If his friend gave him 45. If m represents the number of pencils, how many pencils does he have now?

c)

Josh had 18 pencils. He received some pencils for Halloween. Now Josh has 45 pencils. If m represents the number of pencils, how many pencils did Josh receive for Halloween?

d)

Josh bought the same number of pencils every day for 18 days. At the end of 18 days, Josh had 45 pencils. If m represents the number of pencils, how many pencils did Josh buy every day?

52.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
53.
Solve the inequality.
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8 
d)
x ≤ 18 
54.

2x + 3(5x - 7) = 47

a)

x = 1

b)

x = 2

c)

x = 3

d)

x = 4

55.
Which are solutions?
20 > -2(x+5)
a)
n < -15
b)
n > -15
c)
n < -7.5
d)
n > -7.5
56.
10 ≥ x - 3
a)
x ≤ 13
b)
x ≥ 13
c)
x ≤ 7
d)
x ≥ 7
57.
Match the graph with its inequality.
a)
11 < a
b)
11 > a
c)
 11 ≤ a
d)
 11 ≥ a
58.
Are the triangles similar?
a)
Yes
b)
No
59.
How long is side x?
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
60.
Are the triangles similar?
a)
Yes
b)
No
61.
Which triangles are similar to triangle A?
a)
B
b)
C
c)
Both
d)
None
62.
What is the scale factor from the small shape to the big shape?
a)
1/2
b)
7/3
c)
2
d)
10/3
63.
Sides that are in the same position are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Sides
64.
If the scale factor is less than one, the new figure will be
a)
an enlargement
b)
a reduction
c)
a scale factor
d)
bigger
65.
If the scale factor is greater than one, the new figure will be
a)
a reduction
b)
an enlargement
c)
a scale
d)
not proportional
66.
What is the scale factor from ΔDEF to ΔABC?
a)
1/2
b)
7/3
c)
2
d)
10/3
67.

Enlargement or reduction?

Scale Factor: 6

a)

Enlargement

b)

Reduction

68.
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.
69.
How many lines of symmetry does this shape have?
a)
1
b)
2
c)
4
d)
6
70.
How many lines of symmetry does this shape have?
a)
1
b)
2
c)
3
d)
4
71.
How many lines of symmetry does this shape have?
a)
1
b)
2
c)
3
d)
4
72.
How many lines of symmetry does this shape have?
a)
0
b)
1
c)
2
d)
4
73.
How many lines of symmetry does this shape have?
a)
2
b)
4
c)
6
d)
8
74.
Which of the following letters does not have a line symmetry, but has a rotational symmetry:
a)
H
b)
I
c)
Z
d)
X
75.
What is the order of rotational symmetry for the shape below?
a)
0
b)
1
c)
2
d)
3
76.
What is the order of rotation in the recycling symbol?
a)
1
b)
2
c)
3
d)
1,000
77.

Find the order of rotational symmetry in this shape.

a)

3

b)

2

c)

1

d)

0

78.

Find the order of rotational symmetry in this shape.

a)

0

b)

1

c)

2

d)

3

79.
What can you conclude from the picture?
a)
m is parallel to circle C
b)
m is skew to circle C
c)
m bisects circle C
d)
m is tangent to circle C
80.
The radius of a circle is
a)
The measurement from the center of a circle to an edge of the circle.
b)
The measurement around the circle
c)
The measurement from and edge of the circle to another edge through the center
d)
A line perpendicular to the diameter of the circle
81.
Which best describes segment AB?
a)
chord
b)
secant
c)
tangent
d)
diameter
82.
A tangent line intersecting with a radius always creates a ____________ angle
a)
right
b)
acute
c)
obtuse
d)
straight
83.
In the diagram, a tangent and a line drawn to the point of tangency form a right triangle. Solve for "?" (the length of the hypotenuse)
a)
15
b)
6
c)
-24
d)
14
84.

Which shows a tangent line?

a)
b)
c)
d)
85.

A tangent line intersects the circle ...

a)

in exactly two points

b)

in exactly one point

c)

through the center

d)

with the diameter

86.

If a line is tangent to a circle, then it is ________ to the radius drawn to the point of tangency.

a)

parallel

b)

adjacent

c)

supplementary

d)

perpendicular

87.

Using lines tangent to the circle, find the value of x.

a)

57

b)

137

c)

47

d)

257

88.

The radius is 14 and CD = 22. How long is CE?

a)

14

b)

7

c)

22

d)

11

89.
Multiplication Law states: keep the base the same and do this to the exponents.
a)
multiply
b)
add
c)
subtract
d)
divide
90.
Division Law states: keep the base the same and do this to the exponents.
a)
multiply
b)
add
c)
subtract
d)
divide
91.
Power to a Power Law states: keep the base the same and do this to the exponents.
a)
multiply
b)
add
c)
subtract
d)
divide
92.
Simplify the following:
(x3)6
a)
x9
b)
x18
c)
x6
d)
x3
93.
What is the value of:
z0
a)
z2
b)
z
c)
0
d)
1
94.
Simplify the following:
x2x3
a)
x3
b)
x2
c)
x6
d)
X5
95.
What is the value of:
(3/4)0
a)
1
b)
0
c)
3/4
d)
3/16
96.
Select the equivalent expression 
(h2j3)5
a)
hj30
b)
h7j8
c)
h10j15
d)
h2j15
97.
Simplify: 
8⁷ ⁄ 8²
a)
8⁵
b)
8⁹
c)
8¹⁴
d)
1⁵
98.
Simplify: 
6x5y2 / 2x4y2
a)
3xy
b)
4x
c)
3x
d)
4xy
99.
a)

y = 3x + 6

b)

y = 6x + 6

c)

y = 9x + 2

d)

y = 3x + 3

100.
a)
b = 2a - 2
b)
b = 7a - 2
c)
b = 7a + 7
d)
b = 2a - 7

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