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Worksheets8th Grade Pre Algebra Review
Total questions: 100
Worksheet time: 3hrs 56mins
Name
Class
Date
1.
The quotient of two negative rational numbers is
a)
a positive rational number
b)
a negative rational number
c)
a positive irrational number
d)
a negative irrational number
2.
The product of two negative numbers is
a)
always postive
b)
always negative
c)
sometimes negative
d)
equal to zero
3.
The sum of two negative numbers is
a)
always positive
b)
always negative
c)
sometimes negative
d)
equal to 0
4.
Which of the following are additive inverses? Select all the apply.
a)
10 and -10
b)
7 and 0.7
c)
-⅜ and ⅜
d)
5 and 1/5
e)
-4.35 and 4.35
5.
What is a rational number ?
a)
A rational number is a number that cannot be written as a fraction.
b)
A rational number is a number that can be written as a fraction.
c)
A rational number cannot be a repeating decimal.
6.
√7
a)
Rational
b)
Irrational
7.
What type of number is π ?
a)
Rational
b)
Irrational
8.
A perfect square is which type of number?
a)
Rational
b)
Irrational
9.
a)
1/2
b)
1/10
c)
1/100
d)
1/9
10.
a)
3/10
b)
1/3
c)
1/9
d)
30/99
11.
a)
2/3
b)
-2/3
c)
3/5
d)
-3/5
12.
a)
77/25
b)
77/250
c)
308/9
d)
308/999
13.
Write 5/9 as a decimal.
a)
0.59
b)
0.95
c)
0.555...
d)
1.8
14.
Between which two whole numbers is this located?
√31
√31
a)
2 and 3
b)
7 and 8
c)
5 and 6
d)
4 and 5
15.
Between which two whole numbers is this located?
√55
√55
a)
2 and 3
b)
7 and 8
c)
8 and 9
d)
4 and 5
16.
Simplify.
√49
√49
a)
±7
b)
±8
c)
±6
d)
It is a non-perfect square
17.
What do we call the number that is being multiplied by a variable?
a)
Variable
b)
Term
c)
Expression
d)
Coefficient
18.
What do we call a number sentence that has an equal sign?
a)
Expression
b)
Solved
c)
Equation
d)
Algebraic
19.
What do we call the 4 in the expression 4y+17?
a)
Coefficient
b)
Term
c)
Variable
d)
Four
20.
Which of the following is an equation?
a)
7y
b)
32 + 19
c)
42 = 6h
d)
19 > 2p
21.
6x-5+3x
Is this an expression or an equation?
Is this an expression or an equation?
a)
expression
b)
equation
c)
I'm not sure
22.
Like terms have the same _____ and the same _____.
a)
variables and numbers
b)
signs and numbers
c)
variables and exponents
d)
variables and signs
23.
a mathematical statement that says two items are NOT equal
a)
equation
b)
inequality
24.
Simplify means to... (choose all that apply)
a)
remove all parentheses
b)
combine Like Terms
c)
Reciprocal it!
d)
Solve for x
25.
Solve: 3(x-4) = -3
a)
3
b)
-3
c)
5
d)
-5
26.
Which of the following is equivalent to 9(5c + 4)?
a)
45c + 36
b)
81c
c)
45c + 4
d)
49c
27.
Use the Distributive Property to solve the equation.
4( x + 2) = 16
4( x + 2) = 16
a)
-2
b)
0
c)
1
d)
2
28.
Simplify:
-10x + 15 - 3x + 2
a)
4x
b)
-13x2 + 13
c)
-13x + 17
d)
-7x + 17
29.
4x + 10 = -26
a)
4
b)
-4
c)
-9
d)
9
30.
Which is equivalent to 7 x 7 x 7 x 7 x 7 x 7
?
?
a)
75
b)
76
c)
67
d)
77
31.
54=
a)
20
b)
625
c)
1024
32.
In the expression:
54
the 4 is the...
a)
base
b)
coefficient
c)
exponent
d)
constant
33.
In the expression:
54
the 5 is the...
a)
base
b)
coefficient
c)
exponent
d)
constant
34.
In order to multiply powers with the same base, we add their exponents.
a)
True
b)
False
35.
Simplify the expression:
c4⋅c3=
c4⋅c3=
a)
c12
b)
c4+3
c)
c7
36.
40
a)
0
b)
1
c)
4
d)
-4
37.
How many solutions does the equation have
6x + 3 = 6x + 3
6x + 3 = 6x + 3
a)
One Solution
b)
No Solution
c)
Infinite Solutions
38.
How many solutions does the equation have
4p + 1 = 49 - 7
4p + 1 = 49 - 7
a)
One Solution
b)
No Solution
c)
Infinite Solutions
39.
How many solutions does the equation have
3t + 5 = 4t + 7
3t + 5 = 4t + 7
a)
One Solution
b)
No Solution
c)
Infinite Solutions
40.
How many solutions does the equation have
-2 ( -4x + 7 ) = -2 + 4x
-2 ( -4x + 7 ) = -2 + 4x
a)
One Solution
b)
No Solution
c)
Infinite Solutions
41.
How many solutions does the equation have
4 ( 8n - 1 ) = 19 + 32n
4 ( 8n - 1 ) = 19 + 32n
a)
One Solution
b)
No Solution
c)
Infinite Solutions
42.
How many solutions does the equation have
4y + 10 = 10 + 4y
4y + 10 = 10 + 4y
a)
One Solution
b)
No Solution
c)
Infinite Solutions
43.
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
44.
Find the slope of the line that passes through
(-4, 7) and (-6, -4)
(-4, 7) and (-6, -4)
a)
2/11
b)
-2/11
c)
11/2
d)
-11/2
45.
Find the slope
a)
-3
b)
3
c)
1/3
d)
-1/3
46.
A line that is vertical has a _______ slope.
a)
Positive
b)
Zero
c)
Negative
d)
Undefined
47.
In the equation y=mx+b, what does the m represent?
a)
slope
b)
y-intercept
c)
linear
d)
point-slope
48.
Find the Slope
a)
-2/1
b)
-1/2
c)
No Slope
d)
2/1
49.
What is the slope?
a)
-4/3
b)
-3/4
c)
-2
d)
-6
50.
Slope is know as rise/
a)
run
b)
fall
c)
none
d)
rise
51.
What is the slope in the equation y=2x + 3?
a)
2
b)
3
c)
5
d)
Cannot be Determined
52.
How would you write the equation with a slope of 2/3 and a y-intercept of -3
a)
y=3/2x+3
b)
y=2/3-3
c)
y=2/3x-3
d)
y=2/3x+3
53.
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
54.
What is the solution?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(0, 1)
55.
How many solutions does this system of equations have?
a)
One Solution
b)
No solution
c)
Infinitely Many Solutions
d)
Two Solutions
56.
If a system of linear equations has one solution, what does this mean about the two lines?
a)
Parallel lines
b)
the same line
c)
Intersecting lines
57.
This system has _____ solutions
a)
0
b)
1
c)
2
d)
Infinitely many
58.
The solution to a system of equations is any ordered pair that makes both equations true.
a)
TRUE
b)
FALSE
59.
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
60.
Two lines cross at a point called an..
a)
Roads
b)
Intersection
c)
Solution
d)
Independent
61.
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)
62.
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
63.
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.
64.
a)
Function
b)
Not a Function
65.
a)
Function
b)
Not a Function
66.
a)
Function
b)
Not a Function
67.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
68.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
69.
Which graph passes the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
70.
All of the x values or inputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
71.
All of the y values or outputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
72.
Is the equation linear or nonlinear?
a)
Linear
b)
Nonlinear
73.
Is the equation linear or nonlinear?
a)
Linear
b)
Nonlinear
74.
The Pythagorean Theorem is
c2 = a2 - b2
c2 = a2 - b2
a)
false
b)
true
75.
Side c on a right triangle is ALWAYS the longest.
a)
true
b)
false
76.
Find the missing side
a)
9
b)
41
c)
6.4
d)
6.2
77.
Find h
a)
35.60
b)
35.00
c)
35.71
d)
61.03
78.
The Pythagorean Theorem ONLY works on which triangle?
a)
obtuse
b)
scalene
c)
isosceles
d)
right
79.
You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?
a)
25 feet
b)
26 feet
c)
27 feet
d)
28 feet
80.
A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?
a)
111.8 yards
b)
115 yards
c)
127.3 yards
d)
119 yards
81.
The amount of space an object takes up
a)
Surface Area
b)
Volume
82.
The amount of space that surrounds an object
a)
Surface Area
b)
Volume
83.
a)
Parallel Lines
b)
Perpendicular Lines
84.
a)
Parallel Lines
b)
Perpendicular Lines
85.
a)
Cube
b)
Cone
c)
Cylinder
d)
Pyramid
86.
a)
Cone
b)
Cube
c)
Right Rectangular Prism
d)
Pyramid
87.
a)
Pyramid
b)
Cone
c)
Cube
d)
Sphere
88.
a)
Sphere
b)
Cube
c)
Cone
d)
Pyramid
89.
a)
Cylinder
b)
Sphere
c)
Cone
d)
Pyramid
90.
Which letter matches the coordinate (4, -6)?
a)
G
b)
Z
c)
K
d)
None of the above
91.
The vertical number line in the coordinate plane is called what?
a)
y-axis
b)
origin
c)
quadrant
d)
x-axis
92.
The coordinate plane is divided by a horizontal number line called what?
a)
y-axis
b)
origin
c)
x-axis
d)
quadrant
93.
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)
94.
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
95.
Transformation that ENLARGES or REDUCES a figures by a scale factor
a)
Scale Factor
b)
Rotation
c)
Dialtion
d)
Image
96.
What is the type of association?
a)
Negative
b)
no association
c)
positive
97.
What type of association does this graph have?
a)
positive
b)
negative
c)
none
d)
all of the above
98.
1. Mrs. Collins made a scatterplot to show the relationship between the number of absences and a student’s final exam score. Based on this scatterplot, a student with 6 absences should get approximately what score on the final exam?
a)
65
b)
92
c)
70
d)
76
99.
Make a prediction for a resting heart rate after 6 hours of exercise a week.
a)
6
b)
50
c)
55
d)
59
100.
Which scatter plot show a positive relationship?
a)
Graph A
b)
Graph B
c)
Graph C
d)
Graph D
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