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Worksheets8th Grade Math Final review
Total questions: 75
Worksheet time: 2hrs 9mins
Name
Class
Date
1.
Anything raised to a power of zero is always:
a)
0
b)
1
c)
itself
d)
negative
2.
According to exponent rules, when we divide powers we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
3.
According to exponent rules, when we multiply powers we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
4.
According to exponent rules, when we raise a power to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
5.
How do you solve:
(2x5)(6x4)
(2x5)(6x4)
a)
MULTIPLY coefficients
MULTIPLY exponents
MULTIPLY exponents
b)
DIVIDE coefficients
SUBTRACT exponents
SUBTRACT exponents
c)
Combine like terms
d)
MULTIPLY coefficients
ADD exponents
ADD exponents
6.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
7.
x⁻⁶
a)
1 ⁄ x⁶
b)
x⁶
c)
-x⁶
d)
-1 ⁄ x⁶
8.
x0
a)
x
b)
0
c)
1
d)
Undefined
9.
x8 / x2
a)
x4
b)
x16
c)
x-6
d)
x6
10.
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
11.
Express the following in standard notation:
8.025 x 10-8
a)
.00000008025
b)
.000000008025
c)
802,500,000,000
d)
80,250,000,000
12.
Multiply:
(3.4 x 105)(1.2 x 10-3)
(3.4 x 105)(1.2 x 10-3)
a)
4.08 x 10-8
b)
4.8 x 102
c)
4.08 x 102
d)
4.08 x 10-15
13.
(y9)-2
a)
y18
b)
y11
c)
1/y18
d)
y9/2
14.
Which equation best represents the relationship between x and y in the table shown?
a)
y = -3x - 10
b)
y = -1/3x - 10
c)
y = -10x + 10
d)
y = -4x - 10
15.
Which equation best describes a relationship between x and y in the table shown?
a)
y=1/4x+3
b)
y=4x+12
c)
y=-3x-3
d)
y=-2x-12
16.
A fitness club opens with 80 members. Each month the membership increases by 15 members. 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
17.
What is the slope of this graph?
a)
2
b)
-2
c)
-1/2
d)
1/2
18.
How do you change
y-4=3(x+3)
into slope-intercept form?
y-4=3(x+3)
into slope-intercept form?
a)
y=23x-1/23
b)
y=3x+13
c)
y-7x=9
d)
y=13-3x
19.
Find the slope of the line.
a)
1/2
b)
-1/2
c)
2
d)
-2
20.
Write an equation with a y-intercept of 5 and a slope of -1/2
a)
y=1/2x - 5
b)
y= -1/2x+5
c)
y=5x - 1/2
d)
y=-5x + 1/2
21.
What is the y-intercept of this graph?
a)
(0,1)
b)
(0,-2)
c)
(0,0)
d)
(0,3)
22.
What is the range of the following graph?
a)
-5, -1, 0 , 1, 5
b)
-4, -2, 0, 3, 6
c)
(-4, 1) ( 6, 0)
d)
(6, 0)
23.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
24.
Is the relation a function? Why.
a)
Yes, because the x-value 11 has two y-values pair with it.
b)
Yes, because each x-value has only one y-value paired with it.
c)
No, because the x-value 11 has two y-values pair with it.
d)
No, because each x-value has only one y-value paired with it.
25.
a)
Function
b)
Not a Function
26.
a)
Function
b)
Not a Function
27.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
28.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
29.
Answer.
a)
A
b)
B
c)
C
d)
D
30.
Answer.
a)
A
b)
B
c)
C
d)
D
31.
Identify the domain of the following relation:
a)
-6, 14, 2, 28
b)
(-6,14), (0,32), (2,38), (4,44)
c)
-6, 0, 2, 4
d)
14, 32, 38, 44
32.
If h(a) = 3 - 2a
Find h(-3).
Find h(-3).
a)
12
b)
-2
c)
-3
d)
9
33.
what is the formula for finding the hypotnuse?
a)
a2+b2=c2
b)
a+b=c
c)
a-b=c
d)
c-a=c
34.
What is the length of x?
a)
5
b)
7
c)
8
d)
25
35.
The legs form what type of angle?
a)
Acute
b)
Obtuse
c)
Reflex
d)
Right
36.
What is the opposite of squaring a number?
a)
divide
b)
multiply
c)
fractions
d)
square root
37.
The pythagorean Theorem ONLY works on which triangle?
a)
obtuse
b)
scalene
c)
isosceles
d)
right
38.
Find the length of the missing side.
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
39.
Find the distance between these 2 points.
a)
5.8
b)
6.3
c)
8.1
d)
40
40.
Find the distance.
a)
7.1
b)
7.8
c)
8.7
d)
8.9
41.
Find the distance.
a)
9.7
b)
10.7
c)
11.7
d)
12.7
42.
A line contains the points (4, 3) and (19, −2). What is the slope of the line?
a)
m = -1
b)
m = -3
c)
m = - 1/3
d)
m = 1/3
43.
Find the slope of the line that passes through (10, -8) and (1, 12).
a)
20/9
b)
-20/9
c)
4/9
d)
9/4
44.
Write the equation for the line in slope-intercept form.
a)
y= -1x+3
b)
y= 4x+3
c)
y=1/4x+3
d)
y= -4x+3
45.
Find the slope.
a)
3/2
b)
-3/2
c)
(-0,-3)
d)
y= -3
46.
Solve by elimination
5x+6y= -10
3x-2y= -6
5x+6y= -10
3x-2y= -6
a)
(-2,0)
b)
(0,-2)
c)
(2,0)
d)
(0,2)
47.
What is the solution to this system?
y = 2x + 1
y = 4x - 1
y = 2x + 1
y = 4x - 1
a)
(1,3)
b)
(-1,-3)
c)
(-1,3)
d)
(3,1)
48.
What is the solution to this system?
x - y = 6
y= 2x - 5
x - y = 6
y= 2x - 5
a)
(1,3)
b)
(-1,3)
c)
(-1,-7)
d)
(1,-7)
49.
4x+9y=28
-4x-y=-28
-4x-y=-28
a)
(-7,0)
b)
(6,0)
c)
(-6,0)
d)
(7,0)
50.
3x+7y=23
-3x-7y=-17
-3x-7y=-17
a)
No solution
b)
Infinitely many
c)
(-3,3)
d)
(3,3)
51.
What type of slope?
a)
negative
b)
steep
c)
undefined
d)
zero slope
52.
These two lines intersect at _____.
a)
(4, -2)
b)
(4, 2)
c)
(-2, 4)
d)
No solution
53.
-5 + 2 =
a)
3
b)
-3
c)
7
d)
-7
54.
10 - 1 =
a)
-11
b)
11
c)
-9
d)
9
55.
-7 - 3 =
a)
-10
b)
4
c)
10
d)
-4
56.
-8 + 4 =
a)
4
b)
-12
c)
12
d)
-4
57.
-72 ÷ 9
a)
Positive
b)
Negative
58.
-3 x 5
a)
Positive
b)
Negative
59.
3 x 5
a)
Positive
b)
Negative
60.
72 ÷ (-9)
a)
Positive
b)
Negative
61.
3 x (-5)
a)
Positive
b)
Negative
62.
-11 ÷ (-11)
a)
Positive
b)
Negative
63.
7 x 9
a)
Positive
b)
Negative
64.
-7 x 9
a)
Positive
b)
Negative
65.
-7 x (-9)
a)
Positive
b)
Negative
66.
|18| - |-10| = ?
a)
-8
b)
28
c)
8
d)
-28
67.
What is |-9| ?
a)
9
b)
-9
68.
What is the integer for
"ten degrees below zero"?
"ten degrees below zero"?
a)
-10
b)
10
69.
What is the integer for
"a loss of 11 yards"?
"a loss of 11 yards"?
a)
-11
b)
11
70.
Select the true statement
a)
|-3| =-3
b)
|-3| = 3
c)
|-3| = 3 and -3
d)
|-3| = 1/3
71.
What is the volume of a sphere with the radius of 4 inches ? Use 3.14 for pi.
a)
561.5
b)
267.9
72.
Jack wants to know how much water sphere can hold with a radius of 8 cm. Find the volume.
a)
83.6cm³
b)
2144.7cm³
c)
254cm³
d)
2220cm³
73.
If a tennis ball has a diameter of 10, What is the volume of the tennis ball? Round to the nearest tenth.
a)
345.8
b)
523.6
74.
FInd the Surface area of the shape below?
a)
258 m2
b)
268 m2
c)
248 m2
d)
278 m2
75.
what is the volume?
a)
72
b)
27
c)
1.5
d)
272
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