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Worksheets8th Grade Comprehensive Reivew
Total questions: 77
Worksheet time: 2hrs 50mins
Name
Class
Date
1.
Slope, in basic terms, is simply...
a)
Rise over run
b)
Run over rise
c)
Left over down
d)
Right over up
2.
In the equation y=mx+b, m is the ____.
a)
Slope
b)
Y-intercept
c)
X-intercept
d)
Origin
3.
In the equation y=mx+b, b is the ____.
a)
Slope
b)
Y-intercept
c)
X-intercept
d)
Origin
4.
The horizontal axis is the _____.
a)
X-axis
b)
Y-axis
c)
Origin
d)
Slope
5.
The vertical axis is the _____.
a)
X-axis
b)
Y-axis
c)
Origin
d)
Slope
6.
The y-intercept always has an x-value of ____.
a)
Zero
b)
Positive
c)
Negative
d)
Anything
7.
For a table to be considered a function, ______ cannot repeat.
a)
X-values
b)
Y-values
c)
Positive Numbers
d)
Negative Numbers
8.
For a graph to be considered a function, it must pass ________.
a)
The vertical line test
b)
The origin
c)
The function-ratio test
d)
The y-axis
9.
The domain is all the ______.
a)
X-values
b)
Y-values
c)
Positive numbers
d)
Negative numbers
10.
The range is all the ______.
a)
X-values
b)
Y-values
c)
Positive numbers
d)
Negative numbers
11.
Y=mx+b is called the _________ form of an equation.
a)
Slope-intercept
b)
Standard
c)
Point-slope
d)
Quadratic
12.
When you translate, (x+2,y) will move _____.
a)
2 units right
b)
2 units left
c)
2 units up
d)
2 units down
13.
When you translate, (x-4,y) will move _____.
a)
4 units right
b)
4 units left
c)
4 units up
d)
4 units down
14.
When you translate, (x,y+6) will move _____.
a)
6 units right
b)
6 units left
c)
6 units up
d)
6 units down
15.
When you translate, (x,y-8) will move _____.
a)
8 units right
b)
8 units left
c)
8 units up
d)
8 units down
16.
Slope is ________.
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
17.
Slope is ________.
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
18.
Slope is ________.
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
19.
Slope is ________.
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
20.
In the function
y=4x-7, the slope is____.
y=4x-7, the slope is____.
a)
4
b)
-7
c)
7
d)
4x
21.
In the function
y=4x-7, the y-intercept is____.
y=4x-7, the y-intercept is____.
a)
4
b)
-7
c)
7
d)
4x
22.
a)
2 cm
b)
6 cm
c)
18 cm
d)
36 cm
23.
What is the value of x in the equation,
5 + 3 (x - 4) = 2 (x + 1) ?
5 + 3 (x - 4) = 2 (x + 1) ?
a)
x = -9
b)
x = -5
c)
x = 5
d)
x = 9
24.
Which number is irrational?
a)
-3
b)
- 1/3
c)
0.3333... (repeating)
d)
√3
25.
What is the value of the expression,
(-3)2 + 23 ?
(-3)2 + 23 ?
a)
-3.0
b)
-1.0
c)
15
d)
17
26.
a)
adjacent
b)
vertical
c)
alternate exterior
d)
alternate interior
27.
Which rational numbers are in order from least to greatest?
a)
-3, -10, 1, 8/7, 20%
b)
20%, 8/7, 1, -3, -10
c)
-10, -3, 20%, 1, 8/7
d)
8/7, 1, 20%, -3, -10
28.
If the area of a square is 49, what is the length of each side?
a)
8
b)
15
c)
1/2
d)
7
29.
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
30.
How would you write 4.3756 x 104 in standard form?
a)
437,560,000
b)
0.00043756
c)
43,756
d)
4,3756
31.
How would you write 564,000,000 in scientific notation?
a)
5.64 x 10-7
b)
5.64 x 106
c)
5.64 x 108
d)
56.4 x 107
32.
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
33.
Estimate the square root.
a)
4
b)
5
c)
6
d)
7
34.
If ones set of data values increases as another set of data values decreases, the relationship can be described as having a(n)...
a)
Positive Correlation
b)
Negative Correlation
c)
No Correlation
d)
Complication
35.
Choose the relationship that fits the table, graph, and mapping diagram.
a)
{(-1,0), (0,1), (2,1), (3,4)}
b)
{(-2,-1), (-1,1), (2,3), (3,4)}
c)
{(-4,5), (-2,3), (0,1), (2,-1)}
d)
{(-2,-1), (-1,0), (0,-1), (2,-1)}
36.
Give the domain and range of the relation.
{(-2,-1), (-1,0), (0,-1), (1,0), (2,-1)}
{(-2,-1), (-1,0), (0,-1), (1,0), (2,-1)}
a)
D: {-2, -1, 0, 1, 2}
R: {-1, 0}
R: {-1, 0}
b)
D: {-1, 0}
R: {-2, -1, 0, 1, 2}
R: {-2, -1, 0, 1, 2}
c)
D: {-2, -1, 0, 1, 2}
R: {-1, -1, -1, 0, 0}
R: {-1, -1, -1, 0, 0}
d)
D: {-2 < x < 2}
R: {-1 < y < 0}
R: {-1 < y < 0}
37.
A local parking garage charges $5.00 for the first hour plus $1.50 for each additional hour or part of an hour. Write a relation where x represents the hours, and y represents the cost. Is it a function?
a)
y = 1.50x + 5
Function
Function
b)
y = 5x + 1.50
Function
Function
c)
y = 1.50x + 5
Not a Function
Not a Function
d)
y = 5x + 1.50
Not a Function
Not a Function
38.
a)
Function
b)
Not a Function
39.
a)
Function
b)
Not a Function
40.
a)
Function
b)
Not a Function
41.
a)
Function
b)
Not a Function
42.
a)
Function
b)
Not a Function
43.
a)
Function
b)
Not a Function
44.
a)
Function
b)
Not a Function
45.
What is a translation?
a)
When you turn an object around a point.
b)
When you slide an object from one place to another.
c)
When you flip or mirror an object across a line.
d)
When you resize an object.
46.
Turning a figure is a ...
a)
Translation
b)
Reflection
c)
Dilation
d)
Rotation
47.
Congruent figures are ...
a)
The same size
b)
The same shape
c)
The same size and the same shape
d)
The same shape, but not always the same size.
48.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
49.
Find the cube root.
a)
9
b)
3
c)
-9
d)
-3
50.
According to exponent rules, when we multiply the expressions we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
51.
According to exponent rules, when we divide the expressions we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
52.
According to exponent rules, when we raise the power to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
53.
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
54.
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
55.
what is the formula for finding the hypotnuse?
a)
a2+b2=c2
b)
a+b=c
c)
a-b=c
d)
c-a=c
56.
What is the initial value?
a)
0
b)
1
c)
8
d)
10
57.
Find the rate of change
a)
1
b)
2
c)
11
d)
Not a constant slope/Non-Linear
58.
Determine the slope and y-intercept from the following equation: y = 3/2x + 3
a)
slope: 5 y-intercept: (0,3)
b)
slope: 3/2 y-intercept: (0,3)
c)
slope: 4 y-intercept: (0,3/2)
d)
slope: 1/5 y-intercept: (0,5)
59.
Which graph is a function?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
60.
Is the function Linear or Nonlinear?
a)
Linear
b)
Nonlinear
61.
What type of correlation does this graph show?
a)
Positive
b)
negative
c)
none
d)
all of the above
62.
What type of correlation does this scatter plot show?
a)
positive linear association
b)
negative linear association
c)
no association
d)
nonlinear association
63.
What percentage of males drive sports cars?
a)
35%
b)
16.25%
c)
65%
d)
25%
64.
What is the solution to this system?
a)
(-2, -2)
b)
(2, -2)
c)
(-2,2)
d)
(2, 2)
65.
What kind of lines have no solution to a system of equations
a)
Parallell Lines
b)
Overlapping lines
c)
Intersecting Lines
d)
Skew Lines
66.
x - y = -6
x - y = -6
x - y = -6
a)
No Solution
b)
(0, 0)
c)
Infinite Solution
d)
(3, -3)
67.
How many solutions?
a)
One Solution
b)
No solution
c)
Infinitely Many Solutions
68.
How many solutions?
a)
One Solution
b)
No solution
c)
Infinitely Many Solutions
69.
Solve the system by substitution.
y = −6x + 3
−18x − 3y = 4
y = −6x + 3
−18x − 3y = 4
a)
(−3, 8)
b)
(−8, −3)
c)
(2, −3)
d)
No Solution
70.
Evaluate this expression using the quotient rule.
a)
95
b)
99
c)
15
d)
9-5
71.
40
a)
0
b)
1
c)
4
d)
-4
72.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
73.
Find the slope
a)
-2/3
b)
3/2
c)
-3/2
d)
2/3
74.
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
75.
Find the slope of the line that passes through
(-2, 8) and (0, 8)
(-2, 8) and (0, 8)
a)
0
b)
-2
c)
2
d)
1/2
76.
Christian had brochures printed for a new business venture. Christian originally ordered 4 boxes of black-and-white brochures and 3 boxes of color brochures, which cost a total of $134. After those ran out, Christian spent $120 on 3 boxes of black-and-white brochures and 3 boxes of color brochures. Which system represents this situation?
a)
x+y=134
x+y=120
x+y=120
b)
3x+3y=134
4x+3y=120
4x+3y=120
c)
4x+3y=134
3x+3y=120
3x+3y=120
d)
7xy=134
6xy=120
6xy=120
77.
What is the value of the y-coordinate of the solution to the system of equations
x-2y=1
x+4y=7
x-2y=1
x+4y=7
a)
1
b)
-1
c)
3
d)
4
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