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8th Grade Math State Test Review

Total questions: 113

Worksheet time: 7hrs 59mins

Name
Class
Date
1.
Is the number rational or irrational?
a)
Rational
b)
Irrational
2.
Is the number rational or irrational?
a)
Rational
b)
Irrational
3.
Is the number rational or irrational?
a)
Rational
b)
Irrational
4.

Determine which of the following examples is irrational.

a)

A fraction whose denominator is larger than its numerator

b)

A decimal that never ends but repeats

c)

A perfect cube root

d)

A decimal that never ends and never repeats

5.

Select ALL numbers that are irrational.

a)

10

b)

-21

c)

π\pi

d)

102\frac{10}{2}

e)

10\sqrt{10}

6.

Select ALL numbers that are rational.

a)

55

b)

289\sqrt{289}

c)

6\sqrt{6}

d)

π\pi

e)

6796\frac{7}{9}

7.

Determine whether  π\pi  is rational or irrational.

a)

Rational

b)

Irrational

8.
Say 'TRUE' or 'FALSE'
Every irrational number is a real number
a)
TRUE
b)
FALSE
9.
Decimal representation of a rational number cannot be_____
a)
Terminating
b)
Non-terminating
c)
Non-terminating and repeating
d)
Non-terminating and non-repeating
10.
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.
11.

Classify the number 3.

a)

Natural, Whole, Integer, Rational

b)

Whole, Rational

c)

Integer

d)

Rational

12.

Classify the number 0.

a)

Whole

b)

Integer

c)

Rational

d)

All of the above

13.
What is the definition of integers?
a)
Numbers you count on your fingers and toes
b)
Natural numbers and zero
c)
Whole numbers and their opposites
d)
Terminating or repeating decimals
14.

Nat placed three numbers on the Venn diagram below. Did he do it correctly?

a)

Yes, they are placed correctly.

b)

No, 23\sqrt{23} is not a rational number.

c)

No, -7 is not an integer.

d)

No, 34\frac{3}{4} is not a rational number.

15.
a)
A, B, C
b)
B, C, A
c)
C, A, B
d)
A, C, B
16.
a)
D, C, A, B
b)
D, A, B, C
c)
D, B, C, A
d)
A, C, B, D
17.
a)
M
b)
N
c)
O
d)
P
18.
196
a)
Is a perfect square.
b)
Is not a perfect square.
19.
Which of the following is NOT a perfect square?
a)
1
b)
4
c)
100
d)
8
20.

What is 2 cubed?

23

a)

8

b)

6

c)

4

d)

16

21.

Which number is both a perfect square and a perfect cube?

a)

64

b)

27

c)

81

d)

16

22.

The number 512 is a perfect cube because 512 = 83.

Which number below is also a perfect cube?

a)

125

b)

300

c)

150

d)

256

23.
∛8
a)
2
b)
4
c)
1
d)
64
24.

2x + 13 = 15

What is the first step in solving for x?

a)

divide 2 on both sides

b)

multiply by 2 on both sides

c)

subtract 13 on both sides

d)

add 13 on both sides

25.

2x + 13 - 9x

In this algebraic expression the 2 and the 9 are both ___________.

a)

coefficients

b)

constants

c)

variables

d)

terms

26.

What is the definition of a variable?

a)

The letter used to represent an unknown (quantity)

b)

The little number or letter used to raise to a power

c)

The number in front of a variable

d)

The number with no variable

27.

What are like terms?

a)

Terms that are both positive

b)

Terms with exactly the same variable and exponent on opposite sides of the equal sign

c)

Terms with the same coefficient

d)

Terms with exactly the same variable and exponent on the same side of the equal sign

28.

What is the definition for inverse operations?

a)

negative numbers

b)

subtraction

c)

operations that undo each other

d)

division

29.

Distribute the following:

9(x-3)

a)

9x-3

b)

9x+3

c)

36x

d)

9x-27

30.
5 = 7s - 9
a)
2
b)
6
c)
7
d)
8
31.
4a + 3 = 15
a)
2
b)
4
c)
1
d)
3
32.
Use the Distributive Property to solve the equation.
4( x + 2) = 16
a)
-2
b)
0
c)
1
d)
2
33.

What is the inverse operation of multiplication ("cancels" it out)?

a)

A. Addition

b)

B. Subtraction

c)

C. Multiplication

d)

D. Division

34.

In the expression 3m + 8, the number 3 is called the ____________.

a)

variable

b)

constant

c)

coefficient

d)

answer

35.

In the expression 3m + 8, the number 8 is called the ____________.

a)

constant

b)

variable

c)

coefficient

d)

answer

36.
X + 6 > 10
a)
X > 16
b)
X > -4
c)
X < -4
d)
X > 4
37.

Does the sign need to flip when solving?

-2x ≥ 22

a)

Yes, because you are dividing by a negative

b)

No, because you are dividing by a negative

c)

Yes, because 22 is positive

d)

No, because 22 is positive

38.
-13t > 26
a)
t > -2
b)
t > 2
c)
t < 2
d)
t < -2
39.
-7 + 10z > -27
a)
z < -2
b)
z > -34
c)
2 > z
d)
z > -2
40.
−4x − 2y = −12
  4x + 8y = −24
a)
(6, -6)
b)
(-6, 6)
c)
(-10, 2)
d)
(2, -10)
41.
How many solutions will this system have?
a)
One
b)
Two
c)
No Solution
d)
Infinitely Many Solutions
42.

How many solutions does this system of equations have?

a)

One

b)

None

c)

Infinitely Many

43.

Solve the system by elimination.

−4x − 4y = 0

4x + 4y = 0

a)

(−6, 6)

b)

Infinite number of solutions

c)

No solution

d)

(6, -6)

44.
What is the solution?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(0, 1)
45.

If a system of equations has no solution, what does the graph look like?

a)

intersecting lines

b)

parallel lines

c)

curved lines

d)

the same line twice

46.

If a system of linear equations has one solution, what does this mean about the two lines?

a)

They are parallel.

b)

They are the same line.

c)

They intersect.

47.
When you graph the exact same equation twice,
a)
you will have no solution. 
b)
you will have one solution.
c)
you will have infinite solutions. 
d)
you will graph a giraffe. 
48.
What is the solution to the system of equations? 
y = 3x - 8
y = 4 - x
a)
(3,1)
b)
(1,3)
c)
(-3,1)
d)
(3,-1)
49.
A ________________ is a set of two or more equations that have the same variables.
a)
solution of a system
b)
elimination method
c)
system of equations
d)
table
50.
The ordered pair that satisfies all equations in the system.
a)
system of equations
b)
function
c)
graph
d)
solution of a system
51.

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)}

52.
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.
53.
Is this table a function or not a function? 
a)
Function
b)
Not a Function
54.
Is it a function?
a)
Yes
b)
No
55.

You can identify a function from a graph by using the.....

a)

Horizontal Line Test

b)

Graph Test

c)

Vertical Line Test

d)

Diagonal Line Test

56.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
57.

Which graph is linear?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

58.
Is the graph a function?
a)
No
b)
Yes
59.
Find the rate of change.
a)
-2 minutes per gallon
b)
-20 minutes per gallon
c)
-2 gallons per minute
d)
-20 gallons per minute
60.
Calculate the rate of change.
a)
6
b)
1/6
c)
-6
d)
-1/6
61.
Find the slope of the line that passes through the points (2, 4) and (6, 12)
a)
1/2
b)
-1/2
c)
2
d)
-2
62.

What is the slope of a vertical line?

a)

-1

b)

undefined

c)

1

d)

0

63.
Which statement below accurately represents the graph?
a)
$100 is earned for each hour worked
b)
$100 is earned for every 2 hours worked
c)
$500 is earned for every 8 hours worked
d)
$200 is earned for every 3 hours worked
64.
Jimmy was going on vacation. His parents drove the first day and went 390 miles in 6 hours. The next day they drove for 8 hours and went 520 miles. What was their constant rate of speed? 
a)
65 miles∕1hr
b)
60miles∕1hr
c)
40miles∕1hr
d)
50miles∕1hr
65.
You can buy 36 cookies for $4. What is the unit rate (in cookies per dollar)?
a)
4 cookies per dollar
b)
6 cookies per dollar
c)
9 cookies per dollar
d)
1/9 dollars per cookie
66.
Find Slope:
y = -x 
a)
0
b)
1
c)
undefined
d)
-1
67.
Find Slope:
y = 2.34x + 3.46
a)
-.6763
b)
4
c)
43.2
d)
2.34
68.
Which equation is equivalent to 
12(4x-5)=18?
a)
4x-5=6
b)
4x-5=30
c)
48x+60=18
d)
48x-60=18
69.
The equation y=50x+30 represents the amount of money, y, in Amy’s savings account over time, x. The equation y=30x+50 represents the amount in Sally’s savings account. How does the graph of Sally’s account differ from the graph of Amy’s account?
a)
The graph representing Sally’s account starts lower on the y-axis.
b)
The graph representing Sally’s account starts closer to the origin.
c)
The graph representing Sally’s account is steeper.
d)
The graph representing Sally’s account is flatter.
70.
Which of these is NOT a rigid transformation?
a)
Dilation
b)
Rotation
c)
Translation
d)
Reflection
71.
The distance from the line of reflection to the corresponding parts of the image and pre-image of the reflection is __________________
a)
similar
b)
equal
c)
parallel
d)
perpendicular
72.

Select the true statements from the following concerning transformations and congruent figures:

a)

Congruent figures have equal corresponding angles.

b)

Rotations change the angle measurements.

c)

Reflections keep parallel lines parallel.

d)

Reflections make parallel lines perpendicular.

e)

Corresponding sides will be equal if the figures are congruent.

73.

Reflections, rotations, and dilations produce congruent images.

a)

True

b)

False

74.
Translations maintain the same orientation. 
a)
True
b)
False
75.

A transformation that “turns” a figure about a fixed point at a given angle and a given direction.

a)

rotation

b)

translation

c)

reflection

d)

dilation

76.
A transformation of a figure that creates a mirror image. Flip
a)
translation
b)
mirror image
c)
rotation
d)
reflection
77.
When a shape has the the same size, shape, and measure.
a)
similar
b)
corresponding
c)
congruent
d)
equal
78.
Determine how to translate triangle ABC to triangle A'B'C'.
a)
left 2, up 9
b)
right 2, down 9
c)
left 2, down 9
d)
left 2, up 5
79.
When you translate, (x-4,y) will move _____.
a)
4 units right
b)
4 units left
c)
4 units up
d)
4 units down
80.
Identify the transformation from C to D.
a)
90o Clockwise Rotation
b)
180o Rotation
c)
270o Clockwise Rotation
d)
360o Rotation
81.
Translate the point A (-3, 4) right 5 and up 1
a)
(-2, 9)
b)
(-8, 5)
c)
(8, 3)
d)
(2, 5)
82.
Identify the transformation from ABCD to A'B'C'D'.
a)
Translation
b)
Reflection across the y-axis
c)
Reflection across the x-axis
d)
90o counter clockwise Rotation
83.
Identify the transformation.
a)
Reflection across y-axis
b)
90 Rotation counter clockwise
c)
Translation 5 units left, 1 unit up.
d)
Translation 5 units right, 1 unit down
84.
Point (-5,2) is reflected over the y axis.  Where is the new point located?
a)
(5,2)
b)
(-5,-2)
c)
(-5,2)
d)
(5,-2)
85.
Point (7,2) is translated vertically 2 units and horizontally -5 units.  Where is the new point located?
a)
(9,-3)
b)
(2,4)
c)
(2,0)
d)
12,4)
86.
Reflections over the x-axis change the ____-__________. 
a)
y-coordinate
b)
x-coordinate
87.
What is the angle of rotation for this counterclockwise rotation about the origin?
a)
90°
b)
180°
c)
270°
d)
360°
88.
Enlargement or reduction?  Find the scale factor!
a)
It's a reduction; the scale factor is 2.
b)
It's an enlargement; the scale factor is 2.
c)
It's an enlargement; the scale factor is 1/2.
d)
It's a reduction; the scale factor is 1/2.
89.
If the scale factor is greater than 1, the dilation is...
a)
an enlargement
b)
a rotation
c)
a translation
d)
a reduction
90.
If the scale factor is less than 1, the dilation is...
a)
an enlargement
b)
a translation
c)
a rotation
d)
a reduction
91.

Identify the missing measure.

a)

78

b)

78.23

c)

78.2

d)

78.3

92.

What is the inverse (opposite) of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

93.
The Pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
94.

What type of correlation does this graph have?

a)

positive

b)

negative

c)

none

d)

all of the above

95.

What type of correlation does this scatter plot show?

a)

positive

b)

negative

c)

no correlation

d)

nonlinear association

96.
The scatter plot shows the relationship between the number of chapters and the total number of pages for several books.  Use the trend line to predict how many chapters would be in a book with 140 pages. 
a)
12 chapters
b)
19 chapters
c)
14 chapters
d)
21 chapters
97.
In this image, how would you describe the point that does not fit the pattern of the other dots?
a)
The point is a linear model.
b)
The point is an outlier.
c)
The point is the range.
d)
The point is the median.
98.

Describe the correlation between the size of a dog and the amount of dog food needed to feed it.

a)

Positive correlation

b)

Negative correlation

c)

No correlation

99.
Which of the following lines represents the line of best fit for the scatter plot?
a)
A
b)
B
c)
C
d)
D
100.
Based on the graph, if Joe earned $400, how many hours did he work?
a)
25 hours
b)
35 hours
c)
45 hours
d)
15 hours
101.
In a scatterplot, a cluster...
a)
...is something we didn't learn in 8th grade
b)
...is a point on the origin
c)
...is a point that is far outside the main cluster of points/ordered pairs
d)
...is a group of points that are close together
102.
In a scatterplot, an outlier...
a)
...is something we didn't learn in 8th grade
b)
...is a point on the origin
c)
...is a point that is far outside the main cluster of points/ordered pairs
d)
...is a group of points that are close together
103.
Which scatter plot shows a linear relationship between x and y?
a)
Graph A
b)
Graph B
c)
Graph C
d)
Graph D
104.
What type of correlation?
The temperature outside and the amount of ice cream sales. 
a)
Positive correlation
b)
Negative correlation
c)
No correlation
105.

Which scatterplot does NOT suggest a linear relationship between x and y?

a)
b)
c)
d)
106.

Which best describes the form of this scatterplot?

a)

linear

b)

nonlinear

c)

scattered

d)

no correlation

107.

Which transformations are considered rigid?

a)

Translation

b)

Dilation

c)

Reflection

d)

Rotation

108.

What is a rigid transformation?

a)

A transformation that changes size.

b)

A transformation that makes congruent figures.

c)

A transformation that makes similar figures.

d)

A transformation that doesn't do anything.

109.

In the ordered pair (-4, 5), which value is the x-coordinate?

a)

-4

b)

5

c)

-9

d)

1

110.

In the ordered pair (8, 1), which value is the y-coordinate?

a)

8

b)

1

c)

81

d)

18

111.

Which axis is the x-axis?

a)

the horizontal line

b)

the vertical line

112.

Horizontal lines go...

a)

up and down

b)

left and right

c)

diagonally

113.

Vertical lines go...

a)

up and down

b)

left and right

c)

diagonally

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