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WorksheetsWilson GMAS PREP 8th grade
Total questions: 84
Worksheet time: 3hrs 57mins
Name
Class
Date
1.
Which of these numbers are coefficients in the following expression?
3x + 7 - 4y + 9 - 2
3x + 7 - 4y + 9 - 2
a)
7
b)
-2
c)
9
d)
3
2.
Which of these numbers are constants in the following expression?
8a - 9 + 4b + 12c - 6a
8a - 9 + 4b + 12c - 6a
a)
8
b)
9
c)
12
d)
-9
3.
Which of these terms can be combined?
9a + 3b - 7 + 8a2 - 3a
9a + 3b - 7 + 8a2 - 3a
a)
9a, -3a
b)
9a, 8a2
c)
3b, -7
d)
-7, -3a
4.
Simplify the following expression:
8x + 9y - 10 + 4x
8x + 9y - 10 + 4x
a)
12x - y
b)
12x + 9y - 10
c)
11xy
d)
12x2 + 9y - 10
5.
Simplify the following expression:
9(2a + 10) - 3a + 4
9(2a + 10) - 3a + 4
a)
15a + 94
b)
21a + 94
c)
15a + 23
d)
21a + 23
6.
Factor the following expression completely:
16x + 24
16x + 24
a)
10(6x + 14)
b)
8(2x + 3)
c)
8x(2 + 3)
d)
4(2x + 6)
7.
Solve for x:
x/3 + 9 = 6
x/3 + 9 = 6
a)
45
b)
9
c)
-1
d)
-9
8.
Solve for x:
x + 1/3 = 5/6
x + 1/3 = 5/6
a)
7/6
b)
5/6
c)
1/2
d)
4/3
9.
The Cubs have scored 192 runs so far. They score 5 runs a game from here on out. After a certain number of games, they're at 302 runs. How many games were played?
a)
110
b)
22
c)
5
d)
302
10.
Solve x3=216 for x.
a)
14
b)
4
c)
6
d)
8
11.
Solve the equation for x.
343 = x3
343 = x3
a)
7
b)
-7
c)
-17
d)
17
12.
Write the fraction as a decimal.
2/5
2/5
a)
.60
b)
.40
c)
.50
d)
.25
13.
Given the following radical, decide if it is rational or irrational:
√16
√16
a)
Rational
b)
Irrational
14.
How do you write
8.317 x 106
in standard form?
8.317 x 106
in standard form?
a)
8, 371, 000
b)
83, 170, 000
c)
837, 100
d)
8, 317, 000
15.
Evaluate the expression using the quotient rule.
a)
x13
b)
x5
c)
x36
d)
x-5
16.
What is 9,096,000 in scientific notation?
a)
9.096*106
b)
Trick Question! It's STILL 9,096,000
c)
90.96*105
d)
9069*3
17.
What is the decimal equivalent of 3/5?
a)
0.3
b)
3.5
c)
0.6
d)
0.2
18.
Which is ordered least to greatest?
a)
-0.03, -1/2, 2, 2.5
b)
-34, -3/5, 0, 12.75
c)
0, -1, 1, 2
d)
-1/4, -2, 0, 1/5
19.
What is the fraction equivalent of -0.25?
a)
1/4
b)
25/100
c)
-1/4
d)
-2.5
20.
In between what two integers is the square root of 77?
a)
5 and 6
b)
6 and 7
c)
7 and 8
d)
8 and 9
21.
Which of the following best defines irrational numbers?
a)
numbers that can be written as a fraction or decimal that either terminates or continues forever in a repeating pattern
b)
numbers that make sense
c)
numbers that go on forever and ever with out a repeating pattern and cannot be written as a fraction
d)
fractions
22.
Evaluate this expression using the quotient rule.
a)
95
b)
99
c)
15
d)
9-5
23.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
24.
Convert to standard notation:
3.05 x 105
3.05 x 105
a)
305,000
b)
305
c)
3,050,000
d)
30,500
25.
Convert to scientific notation:
520,000,000
520,000,000
a)
52 x 107
b)
5.2 x 107
c)
5.2 x 108
d)
0.52 x 109
26.
Which set of ordered pairs represents the relation shown in the graph?
a)
{(3, -5), (-2, 0), (2, 0), (-1, 1), (3, 5)}
b)
{(5, -3), (2, 0), (0, -2), (-1, 1), (-3, -5)}
c)
{(-5, 3), (0, -2), (2, 0), (1, -1), (3, 5)}
d)
{(-5, 3), (-2, 0), (0, 2), 1, -1), (3, 5)}
27.
Which table represents the relation shown in the graph?
a)
x | y
5 | 3
-1 | 1
2 | 0
0 | -2
3 | -5
5 | 3
-1 | 1
2 | 0
0 | -2
3 | -5
b)
x | y
1 | -1
0 | -2
2 | 0
-5 | 3
3 | 5
1 | -1
0 | -2
2 | 0
-5 | 3
3 | 5
c)
x | y
-5 | 3
-2 | 0
0 | 2
1 | -1
3 | 5
-5 | 3
-2 | 0
0 | 2
1 | -1
3 | 5
d)
x | y
3 | 5
-1 | 1
0 | -2
0 | 2
-5 | 3
3 | 5
-1 | 1
0 | -2
0 | 2
-5 | 3
28.
Which mapping represents the relation {(-2, 4), (4, 2), (2, 4), -4, 2)}?
a)
A
b)
B
c)
C
d)
D
29.
What is the domain of the graph shown?
a)
-2 < y ≤ 6
b)
-6 ≤ x < -2
c)
-6 < y ≤ 6
d)
-6 < x ≤ 3
30.
What is the range of the graph shown?
a)
y ≤ 5
b)
y ≥ 5
c)
y ≤ -2
d)
y ≥ -2
31.
Which of the following relations represents y as a function of x?
I. {(1, 4), (2, 5), (3, 6)}
II. {(1, 4), (2, 4), (3, 4)}
III. {(1, 4), (2, 4), (1, 3)}
IV. {(1, 4), (1, 2), (1, 3)}
I. {(1, 4), (2, 5), (3, 6)}
II. {(1, 4), (2, 4), (3, 4)}
III. {(1, 4), (2, 4), (1, 3)}
IV. {(1, 4), (1, 2), (1, 3)}
a)
I, II, and III only
b)
II and IV only
c)
III and IV only
d)
I and II only
32.
Which relation is represented by the mapping diagram shown?
a)
{(3, 2), (5, 2), (7, 4)}
b)
{(2, 3), (4, 7)}
c)
{(5, 2), (7, 4)}
d)
{(2, 3), (2, 5), (4, 7)}
33.
Which of the graphs shown is a function?
a)
F
b)
G
c)
H
d)
J
34.
If f(x) = 3x - 7, find f(4).
a)
0
b)
5
c)
14
d)
19
35.
Which of the graphs shown does NOT represent a function?
a)
A
b)
B
c)
C
d)
D
36.
Write the inequality
a)
x > 8
b)
x < 8
c)
x ≤ 8
d)
x ≥ 8
37.
Where the line crosses the y-axis.
a)
Slope
b)
X-Intercept
c)
Y-Intercept
d)
Range
38.
Where the line crosses the x-axis.
a)
Slope
b)
X-Intercept
c)
Y-Intercept
d)
Range
39.
The ratio of the change in y-values (rise) with the change in x-values (run).
a)
Slope
b)
Range
c)
Scientific Notation
d)
Rational
40.
Use the distributive Property:
7 (5 + 3)
7 (5 + 3)
a)
56
b)
14
c)
38
d)
32
41.
The x-coordinate of an ordered pair.
a)
domain
b)
range
c)
relation
d)
function
42.
Any set of ordered pairs
a)
domain
b)
range
c)
relation
d)
function
43.
A relation where every x-coordinate goes to exactly one y-coordinate.
a)
domain
b)
range
c)
relation
d)
function
44.
An equation whose graph is a line.
a)
graph
b)
solution
c)
linear function
d)
linear equation
45.
a)
It is a function
b)
Not a function
46.
a)
Is a function
b)
Not a function
47.
a)
It is a function
b)
Not a function
48.
a)
Is a function
b)
Not a function
49.
a)
Is a function
b)
Not a function
50.
Find the slope of the line.
a)
1/2
b)
-1/2
c)
2/1
d)
-2/1
51.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
52.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
53.
Find the slope of the line that passes through
(10, 1) and (5, 2)
(10, 1) and (5, 2)
a)
1/5
b)
-1/5
c)
5
d)
-5
54.
Which graph is linear?
a)
Graph A
b)
Graph B
c)
Graph C
d)
Graph D
55.
Is the function Linear or Nonlinear?
a)
Linear
b)
Nonlinear
56.
Is the equation linear or nonlinear?
a)
Linear
b)
Nonlinear
57.
Is the function Linear or Nonlinear?
a)
Linear
b)
Nonlinear
58.
If 9 + 5𝑥 = 39, then 4𝑥 = ?
a)
6
b)
12
c)
18
d)
24
59.
Which of the following mathematical expressions is equivalent to the verbal expression “A number, 𝑐, squared is 52 more than the product of 𝑐 and 11”?
a)
2𝑐 = 52 + 11𝑐
b)
2𝑐 = 52𝑐 + 11𝑐
c)
𝑐2 = 52 + 𝑐11
d)
𝑐2 = 52 + 11𝑐
60.
What is the definition of function?
a)
Has inputs and outputs
b)
Every input has only ONE output
c)
Inputs have different outputs every time
d)
x-values and y-values
61.
A slide is also called a _________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
62.
A turn is also called a ___________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
63.
Identify the transformation from ABC to A'B'C'.
a)
90o clockwise rotation
b)
90o counter clockwise rotation
c)
Reflection across the y-axis
d)
Reflection across the x-axis
64.
Is the picture being reflected in the y-axis or x-axis?
a)
y-axis
b)
x-axis
65.
How is triangle ABC being translated to triangle A'B'C'?
a)
up 3, left 8
b)
up 9, left 4
c)
down 3, right 8
d)
down 9, right 4
66.
If Joe worked 30 hours, how much is he expected to earn?
a)
$600
b)
$200
c)
$1000
d)
$800
67.
There are 3 apples on an apple tree. You take 2. How many do you have?
a)
2
b)
1
c)
3
d)
Bieber
68.
The measures of supplementary angles add up to_______.
a)
It depends on the angles.
b)
360
c)
180
d)
90
69.
Lines in the same plane that never meet are called:
a)
perpendicular
b)
skew
c)
supplementary
d)
parallel
70.
Probability can be between what two numbers?
a)
10 and 20
b)
0 and 100
c)
0 and 1
d)
All Numbers are possible
71.
Find the probability of rolling greater than a 1 on a single die.
a)
6/6
b)
5/6
c)
4/6
d)
1/6
72.
What is the complement of spinning purple on this spinner?
a)
P (Not green)
b)
P (Purple)
c)
P (Not purple)
d)
Orange, red, or yellow
73.
What is the mean?
a)
1 book
b)
3.25 books
c)
2.75 books
d)
1.5 books
74.
What is the median?
a)
1.5 books
b)
2.60 books
c)
4 books
d)
2 books
75.
What is the mode?
a)
2.60 books
b)
1 book
c)
1.5 books
d)
6 books
76.
The box and whisker plots display daily temperatures for each city throughout the spring. Which statement is false?
a)
The lower quartile for New York is 46.5.
b)
The upper extreme for Seattle is 69.5.
c)
The median for San Antonio is 81.
d)
The third quartile for New York is 78.
77.
What is the range of the following data set?
{2, 9, 5, 4, 7, 8}
a)
6
b)
7
c)
5
d)
8
78.
Over the basketball season each game was a different score.
What is the mean(average) of the set?
a)
12
b)
13
c)
15
d)
16
79.
What is the mode in all for each team?
a)
25
b)
75
c)
100
d)
50
80.
What is the chance that you will spin a 6 twice in a row?
a)
1/12
b)
1/3
c)
1/6
d)
1/9
81.
What is the range of the following data set?
{5, 9, 5, 2, 7, 10}
a)
6
b)
7
c)
8
d)
2
82.
What is the mode of the following data set?
{5, 9, 5, 2, 7, 10}
a)
10
b)
7
c)
8
d)
5
83.
What is the mean of the following data set?
{5, 9, 5, 2, 7, 10}
a)
10.2
b)
6.30
c)
8.2
d)
5.3
84.
What is the median of the following data set?
{5, 9, 5, 2, 7, 10}
a)
6
b)
4
c)
5
d)
7
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