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8th Grade Math Review

Total questions: 50

Worksheet time: 2hrs 37mins

Name
Class
Date
1.

To which real number set do the following real numbers belong?

a)

Irrational Numbers

b)

Natural Numbers

c)

Rational Numbers

d)

Integers

2.

We know that π (Pi) is approximately equal to 3.141592654... To which subset of the real numbers does π belong?

a)

Irrational Numbers

b)

Rational Numbers

c)

Integers

d)

Natural Numbers

3.

Simplify the expression using exponents.

a)

818

b)

915

c)

98

d)

8115

4.

Write the decimal as a fraction in simplest form

a)
b)
c)
d)
5.

Using exponents, what is the simplified form of the expression (24)7

a)

23

b)

1428

c)

228

d)

211

6.

What is the value of 180?

a)

18

b)

0

c)

1

d)

-18

7.

How do you write the standard number 0.00095 in scientific notation?

a)

9.5 x 10-3

b)

9.5 x 10-5

c)

9.5 x 10-4

d)

9.5 x 10-6

8.

Write the standard number 6,267,000 in scientific notation.

a)

62.67 x 106

b)

6.267 x 106

c)

6.267 x 104

d)

6.267 x 107

9.

How do you write 8.7 x 10-1 in standard form?

a)

0.87

b)

8.7

c)

87

d)

0.087

10.

What is the best estimate for the following.

a)

9.3432...

b)

6.782...

c)

8.2326...

d)

10.7638...

11.

This is between which two integers?

a)

12 and 13

b)

13 and 14

c)

45 and 46

d)

91 and 92

12.

Which integer is a perfect square?

a)

169

b)

24

c)

10

d)

212

13.

What is the slope of the line that passes through the points (5, 1) and (2, -7)?

a)
b)
c)
d)
14.

The lines 7x + 4y = 35 and 7x + 4y = 35 intersect at ____________________

a)

2 points

b)

1 point

c)

An infinite number of points

d)

There are no intersection points.

15.
Slope is ________.
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
16.
Slope is ________.
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
17.
What is the solution to this system?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(2, 0)
18.
What is the value of the missing angle?
a)
61
b)
50
c)
60
d)
69
19.
How do you calculate slope using a graph?
a)
rise over run
b)
run over rise
c)
look at the y intercept
d)
look at the x intercept
20.
7(2x - 4) = 42
a)
x= 5
b)
x= 8
c)
x= 2
d)
x= 9
21.
What letter represents the slope of a line in the equation y = mx + b?
a)
y
b)
m
c)
x
d)
b
22.

Does this mapping diagram represent 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 paired with it.

d)

No, because each x-value has only one y-value paired with it.

23.
Identify the transformation from ABC to A'B'C'.
a)
90o clockwise rotation
b)
90o counter clockwise rotation
c)
Reflection across the y-axis
d)
Reflection across the x-axis
24.
Identify the transformation from C to D.
a)
90o Counter Clockwise Rotation
b)
180o Rotation
c)
270o Counter clockwise Rotation
d)
360o Rotation
25.
x - 8 = -5 
a)
13
b)
-13
c)
3
d)
-3
26.

Which line has the equation

y = 2x + 1

a)
b)
c)
d)
27.

Which line has the equation

y = x + 2

a)
b)
c)
d)
28.
Which is the equation of the line with y-intercept -2 and slope 6.
a)
y = -2x + 6
b)
y = 3x
c)
y = -2x - 6
d)
y = 6x - 2
29.
Solve:
3x + 15 = 3(x + 5)
a)
No Solution
b)
x = 15
c)
Infinitely Many Solutions
30.
Nicolas places his 30 foot ladder against a house he is painting.  If the foot of the ladder is 8 feet from the base of the house, how high above the ground is the top of the ladder touching the house?  Round to the nearest tenth.
a)
22.0 ft
b)
27.8 ft
c)
28.9 ft
d)
31.0 ft
31.
Which scatter plot shows a linear relationship between x and y?
a)
Graph A
b)
Graph B
c)
Graph C
d)
Graph D
32.
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
33.
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)
34.
Who has the greater rate of change?
a)
Hunter has the greater rate of change.
b)
Casey has the greater rate of change 
c)
They have the same rate of change
35.
Who has the greater rate of change?
a)
Tyler has the greater rate of change with 2/3
b)
Aubri has the greater rate of change with 3/2
c)
Tyler has the greater rate of change with 3/2
d)
They have the same rate of change.
36.
a)
Function
b)
Not a Function
37.

If one of the legs is 6 and the other is 12, what is the hypotenuse of the right triangle?

a)

36

b)

144

c)

13.4

d)

180

38.
Which of the following sentences would belong in the proof that describes this image?
a)
The sum of the areas of the two smaller squares is equal to the area of the large square.
b)
The sum of the side lengths of the two smaller squares is equal to the side length of the large square.
c)
The difference of the areas of the two smaller squares is equal to the area of the large square.
d)
The differences of the side lengths of the two smaller squares is equal to the side length of the large square.
39.
7(2x - 4) = 42
a)
x= 5
b)
x= 8
c)
x= 2
d)
x= 9
40.

What is the origin?

a)

The point furthest away from the center of the coordinate plane

b)

The four regions of a coordinate plane

c)

the x-axis

d)

Where the x-axis and y-axis intersect

41.

What are the coordinates of point H?

a)

( - 4 , 2 )

b)

( 4 , - 2 )

c)

( - 2 , 4 )

d)

( 4 , 4 )

42.

What is the ordered pair for point K?

a)

( - 3 , - 3 )

b)

( 3 , - 3 )

c)

( - 4 , - 4 )

d)

( 5 , 8 )

43.

What is the ordered pair for point E?

a)

( 3 , 0 )

b)

( 0 , 4 )

c)

( 0 , - 3 )

d)

( - 3 , 0 )

44.

What is the ordered pair of point L?

a)

( 4 , 4 )

b)

( 4 , 2 )

c)

( - 4 , - 4 )

d)

( 2 , - 4 )

45.

What is the ordered pair for point C?

a)

( 2 , - 4 )

b)

( 2 , 4 )

c)

( 4 , 2 )

d)

( 4 , - 2 )

46.

Which TV show ended in 2004?

a)

Big Bang Theory

b)

Friends

c)

That 70s Show

d)

How I Met Your Mother

47.

Who were the kids from Stranger Things dressed up as on Halloween?

a)

Ghostbusters

b)

Football players

c)

Minions

d)

Clowns

48.

What is Mr. Allan's favorite NFL team?

a)

Cleveland Browns

b)

Minnesota Vikings

c)

New England Patriots

d)

Green Bay Packers

49.

Who is this?

a)

Bill Nye

b)

Isaac Newton

c)

Neil DeGrasse Tyson

d)

Ben Franklin

50.

The sun rises in the:

a)

west

b)

east

c)

north

d)

south

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