Worksheets8th Grade Math BM Review Unit 4
Total questions: 65
Worksheet time: 3hrs 33mins
Name
Class
Date
1.
Select all the irrational numbers.
a)
√8
b)
¾
c)
2
d)
-1.325
e)
√21
2.
Select all the rational numbers.
a)
.211232112421125. . . .
b)
π
c)
√25
d)
√12
e)
2
3.
Which of the following numbers is rational?
a)
√8
b)
√16
c)
√50
d)
√75
4.
A fraction is which type of number?
a)
Rational
b)
Irrational
5.
Which of the following is a rational number?
a)
π
b)
√8
c)
.56565656....
d)
√10
6.
Pi
a)
Rational
b)
Irrational
7.
The square root of 53 is between which two consecutive numbers?
a)
10 and 11
b)
5 and 6
c)
7 and 8
d)
1 and 2
8.
The √20 is between which two integers?
a)
2 & 3
b)
3 & 4
c)
4 & 5
d)
5 & 6
9.
The √40 is between which two integers?
a)
7 & 8
b)
6 & 7
c)
5 & 6
d)
4 & 5
10.
Simplify the following:
y6/y4
y6/y4
a)
y10
b)
y2
c)
y-2
d)
1/y2
11.
Simplify the following:
x5x-2
x5x-2
a)
x3
b)
x7
c)
x-7
d)
x-3
12.
What is the value of:
(3/4)0
(3/4)0
a)
1
b)
0
c)
3/4
d)
3/16
13.
According to exponent rules, when we divide powers we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
14.
According to exponent rules, when we multiply powers we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
15.
According to exponent rules, when we raise a power to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
16.
∛8 =
a)
4
b)
3
c)
2
d)
512
17.
A cube with side length s has a volume of 64 cubic units. What is the length of the side of the cube?
a)
32 units
b)
16 units
c)
8 units
d)
4 units
18.
The volume of a cube is 1,000 cm3. What is the length of each side of the cube?
a)
1
b)
10
c)
100
d)
300
19.
a)
Function
b)
Not a Function
20.
Which set of values is a function?
a)
(9,5) (10,5) (9,-5) (10,-5)
b)
(3,4) (4,-3) (7,4) (3, 8)
c)
(6,-5) (7, -3) (8, -1) (9, 1)
d)
(2, -2) (5, 9) (5, -7) (1, 4)
21.
Does this mapping diagram represent a function?
a)
No, because there are repeating input values
b)
Yes, because there are no repeating input values
22.
a)
A
b)
B
c)
C
d)
D
23.
Who has the greater rate of change?
a)
Braden has the greater rate of change with 60/3
b)
Omar has the greater rate of change with 100
c)
Braden has the greatest rate of change with 60
d)
They both have the same rate of change
24.
Who has the greater rate of change?
a)
Troy has the greater rate of change.
b)
Lucy has the greater rate of change
c)
They have the same rate of change
25.
a)
The function f(x) has a greater y intercept than the function g(x)
b)
The function g(x) has a greater rate of change than the function f(x)
c)
The function g(x) has a greater y intercept than the function f(x)
d)
The rate of change for both g(x) and f(x) are equal
26.
What is the initial value in this equation?
y=8x+6
y=8x+6
a)
8
b)
6
27.
Is function represented by the table linear or nonlinear?
a)
linear
b)
nonlinear
28.
Is function represented by the table linear or nonlinear?
a)
linear
b)
nonlinear
29.
Which graph depicts a nonlinear function?
a)
Graph A
b)
Graph B
c)
Graph C
d)
Graph D
30.
Is the function Linear or Nonlinear?
a)
Linear
b)
Nonlinear
31.
Which graph is linear?
a)
Graph A
b)
Graph B
c)
Graph C
d)
Graph D
32.
John is trying to save money this year. When he opened his account he had a balance of $300. John deposits $100 each month. Write an equation in slope-intercept form to model this situation.
a)
y = 100x - 300
b)
y = 100x + 300
c)
y = 1/10x + 300
d)
y = 1/10x - 300
33.
In order to join an online learning community, there is a $20 startup fee and a $5 monthly fee. Write an equation in slope-intercept form that models this situation.
a)
y = 20x + 5
b)
y = 5x +20
34.
For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the cost, C, after h hours of babysitting.
a)
C = 5h + 3
b)
C = 3h + 5
c)
H = 5c + 3
d)
H = 3c + 5
35.
a)
A
b)
B
c)
C
d)
D
36.
a)
F
b)
G
c)
H
d)
J
37.
Write the equation of the line.
a)
y = -1/3x - 2
b)
y = 1/3x - 2
c)
y = 3x - 2
d)
y = -3x - 2
38.
Write the equation of the line.
a)
y = -2/3x + 4
b)
y = 2/3x + 4
c)
y = 3/2x + 4
d)
y = -3/2x + 4
39.
Write the equation of the line.
a)
y = x + 1
b)
y= x - 1
c)
y= -x + 1
d)
y= -x - 1
40.
Write the equation of the line.
a)
y = (1/3)x - 1
b)
y = (3/2)x - 1
c)
y = 3x - 1
d)
y = (2/3)x - 1
41.
Simplify each equation. Tell whether the equation has one, no, or infinite solutions.
3x - 8 = 3(x - 4) + 1
3x - 8 = 3(x - 4) + 1
a)
one
b)
no solutions
c)
infinite solutions
42.
Simplify each equation. Tell whether the equation has one, no, or infinite solutions.
3x - 7 = 3(x - 3) + 2
3x - 7 = 3(x - 3) + 2
a)
one
b)
no solutions
c)
infinite solutions
43.
Simplify each equation. Tell whether the equation has one, no, or infinite solutions.
5x + 6 = 2 + 3x
5x + 6 = 2 + 3x
a)
one
b)
no solutions
c)
infinite solutions
44.
0.5(5x + 12) = 4.5x – 1
a)
-3.5
b)
6.5
c)
-26
d)
3.5
45.
Solve for x.
5 - ⅖x = ½x - 4
5 - ⅖x = ½x - 4
a)
10
b)
-10
c)
90
d)
-90
46.
How many solutions are there in the following systems of equations?
-15x - y = -12
30/2x + y = 36/3
-15x - y = -12
30/2x + y = 36/3
a)
One Solution
b)
No Solution
c)
Two Solutions
d)
Infinite or Many Solutions
47.
How many solutions are there in the following systems of equations?
y= 5x - 12
y = 4x - 3
y= 5x - 12
y = 4x - 3
a)
One Solution
b)
No Solution
c)
Two Solutions
d)
Infinite or Many Solutions
48.
If a system of equations has no solution, what does the graph look like?
a)
intersecting lines
b)
parallel lines
c)
skew lines
d)
intersecting lines
49.
What is the solution?
a)
1
b)
-2
c)
(1, 2)
d)
(1, -1)
50.
Determine how to translate triangle A'B'C' to triangle ABC.
a)
(x+2, y-5)
b)
(x+2, y-9)
c)
(x-2, y-9)
51.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise
b)
180 degrees
c)
90 degrees clockwise
52.
Find K' if the figure is reflected across the x-axis
a)
(4, 1))
b)
(-1, -4)
c)
(1, -4)
d)
(1, 4)
53.
What is the measure of angle b?
a)
36o
b)
56o
c)
63o
d)
117o
54.
Angle 1 = 27o
Find the measure of angle 4
Find the measure of angle 4
a)
27o
b)
153o
c)
63o
d)
90o
55.
The m∠1 = 140°
Find the measure of angle 3
Find the measure of angle 3
a)
140
b)
60
c)
40
d)
30
56.
Find the length of the missing side.
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
57.
Find the length of the missing side.
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
58.
A dilation is which of the following:
a)
An enlargement
b)
A reduction
c)
Either an enlargement or a reduction
d)
Neither an enlargement or a reduction
59.
A dilation produces a similar figure
a)
True
b)
False
60.
Find the volume to the nearest tenth using 3.14 instead of Pi.
a)
282.6 in3
b)
94.2 in3
c)
235.5 in3
d)
78.5 in3
61.
Find the volume to the nearest hundredth using 3.14 instead of Pi.
a)
5572.45 cm3
b)
506.59 cm3
c)
126.65 cm3
d)
1393.11 cm3
62.
Find the volume to the nearest hundredth using 3.14 instead of Pi.
a)
12.56 ft3
b)
37.68 ft3
c)
18.84 ft3
d)
6.28 ft3
63.
You have a globe that has a radius of 11 inches. Find the volume of your globe.
a)
523 in3
b)
16,717 in3
c)
5,575 in3
d)
7,235 in3
64.
What is the volume, in cubic inches, of the cylinder?
a)
120π
b)
240π
c)
960π
d)
1800π
65.
The diameter of a cylinder is 48 meters. What is the radius?
a)
96 meters
b)
12π
c)
24 meters
d)
482
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