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Math-8 Review

Total questions: 100

Worksheet time: 5hrs 14mins

Name
Class
Date
1.

What is the value of the expression (-4)3 ?

a)

-64

b)

-12

c)

12

d)

64

2.

Simplify 1015103\frac{10^{15}}{10^3}  .

a)

1018

b)

1012

c)

105

d)

112

3.

Simplify 65 × 62.6^5\ \times\ 6^2.  

a)

67

b)

610

c)

367

d)

3610

4.

Rory's garden is square in shape. The length of one side of her garden is 52 feet. What is the area of her garden in square feet? Express your answer using exponents.

a)

104

b)

102

c)

54

d)

625

5.

What is the simplified form of the expression (3x4)3?

a)

9x7

b)

9x12

c)

27x7

d)

27x12

6.

How is the expression 5-3 written using a positive exponent?

a)
b)
c)
d)
7.

Write 123\frac{1}{2^3}  using a negative exponent.

a)

-32

b)

-23

c)

2-3

d)

3-2

8.
Which statement describes the relationship between the data sets displayed on the scatterplot?
a)
The number of pets owned by a student increases as the student’s science test score increases.
b)
The number of pets owned by a student decreases as the student’s science test score increases.
c)
The number of pets owned by a student remains the same as the student’s science test score increases.
d)
There is no relationship between the number of pets owned by a student and the student’s science test score.
9.

Mrs. Patillo wanted to know whether there was a relationship between two sets of her students’ test scores. The scatterplot shows the scores of her students. Which statement best describes the relationship?

a)
No correlation
b)
Constant relationship
c)
Negative correlation
d)
Positive correlation
10.
Which statement is true about the scatter plots?


a)
Graph 1 shows a strong relationship, and Graph 2 shows a weak relationship.
b)
Graph 2 shows a strong relationship, and Graph 1 shows a weak relationship
c)
Graph 1 shows a negative correlation, and Graph 2 shows a positive correlation.  
d)
Graph 2 shows a negative correlation, and Graph 1 shows a positive correlation.
11.

A used-car dealer kept records of the selling price of his used cars in 2021. The scatterplot shows the average selling price of his used cars based on the age of the used car. Using the graph, which is the closest to the selling price of an 8-year-old car?

a)
$7500
b)
$5000
c)
$2500
d)
$500
12.
The scatterplot below suggests which of the following types of data relationship?
a)
Weak, negative
b)
weak, positive
c)
strong, negative
d)
strong, positive
13.
The scatter plot below shows John’s scores in the seven math and science chapter tests this semester. Which statement best describes the association between his math and science test scores?
a)
positive, linear, no outliers
b)
negative, linear, no outliers
c)
positive, linear, one outlier
d)
negative, linear, one outlier
14.
Which situation would most likely have a scatterplot with a negative correlation?
a)
age of a baby and weight of that baby
b)
outside temperature and cooling costs
c)
amount of air in a balloon and size of balloon
d)
number of questions missed on a test and test grade
15.

How is the data in this scatterplot related?

a)
Negative Correlation
b)
No Correlation
c)
Lots of Correlation
d)
Positive Correlation
16.

Describe the correlation between the number of people in an audience and ticket sales for the show they are attending. 

a)
No Correlation
b)
Positive Correlation
c)
Negative Correlation
d)
Lots of Correlation
17.

Charlie rented a moving truck. He paid a daily fee plus a per-mile rate to rent the truck. The equation y = 0.5x + 10y\ =\ 0.5x\ +\ 10  represents the daily amount Charlie paid for the truck when he drove it xx  miles. What does the slope of the graph of this equation represent? 

a)
The daily fee for the moving truck
b)
The per-mile fee for the moving truck
c)
How much Charlie paid for the truck
d)
The number of miles he drove
18.

Rich is a member of a gym. He pays a monthly amount plus a per-visit fee. The equation y = 3x + 10y\ =\ 3x\ +\ 10 represents the monthly amount Rich pays for his membership to the gym per month if he makes xx visits. What does the y-intercept of the graph of this equation represent?

a)
The monthly fee
b)
How much Rich pays per visit
c)
The number of times Rich goes to the gym
d)
The total cost at the end of the month
19.
What percentage of girls have blonde hair?
a)
30%
b)
32%
c)
29%
d)
40%
20.

According to the two-way table, a person who plays an instrument is most likely to _____.

a)

not play an instrument.

b)

not play a team sport.

c)

play a team sport.

d)

do each of these.

21.
What percentage of SUV's are driven by women?
a)
56.25%
b)
75%
c)
83.25%
d)
86.5%
22.
Which of the following does NOT represent a function?
a)
F
b)
G
c)
H
d)
J
23.

Solve for the variable y in the following equation:

3y − 5 − 5y = 3

a)

y = -2

b)

y = -3

c)

y = -4

d)

y = -5

24.

Solve for the variable x in the following equation:


3(x-6)+2x=22

a)

x=8

b)

x=2

c)

x=18

d)

x=3

25.

Solve for the variable t in the following equation:


2(t + 6) + 3 = 9 + 5t

a)

t = 16

b)

t = 2

c)

t = -8

d)

t = -10

26.

Solve for the variable w in the following equation:


12 + 6w - 7w = 3w - 2w

a)

w = 6

b)

w = -16

c)

w = -5

d)

w = 4

27.

6x + 10 = 2(3x + 4)

a)

x = 0

b)

x = 2

c)

No solutions

d)

Infinite solutions

28.

4(6k - 12) = 3(8k - 16)

a)

x = 3

b)

x = -3

c)

no solutions

d)

infinite solutions

29.

Solve for the variable y in the equation:

2x + 2y = 6

a)

y = - x + 3

b)

y = x + 3

c)

y = 2x +6

d)

y = - 2x + 6

30.
What is the measure of ∠DBC?
a)
10⁰
b)
20⁰
c)
40⁰
d)
50⁰
31.
Which expression represents the phrase?
The product of x and 3, increased by 4
a)
3(x + 4)
b)
x + 3 + 4
c)
4x + 3
d)
3x + 4
32.
Which expression represents the phrase?
5 less than 8 times x
a)
8(x – 5)
b)
8x – 5
c)
5x – 8
d)
8 – 5x
33.
Evaluate the expression  x2 + 4  for  x = 5.
a)
14
b)
11
c)
29
d)
25
34.
Find the equivalent simplified expression.
4(x  +  6)
a)
4x  +  24
b)
4x  +  6
c)
x4  +  10
d)
x  +  24
35.
Find the slope
a)
-5/7
b)
7/5
c)
-7/5
d)
5/7
36.
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
37.
Name the angle relationship.
a)
Consecutive Interior
b)
Alternate Interior
c)
Corresponding
d)
Vertical Angles
38.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
 Correpsonding
d)
Vertical Angles
39.
What type of slope does this graph have?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
40.
Which answer represents the standard notation of 3.21 x 10⁵?
a)
3,120
b)
321
c)
321,000
d)
32,100
41.
1. a.) Find the slope:  
A line with points
 (3, -2) and (-5, -2)
a)
-8
b)
0
c)
-2
d)
None of the above
42.
0.8 is a rational number
a)
True
b)
False
43.
In the equation y=mx+b, m is the ____.
a)
Slope
b)
Y-intercept
c)
X-intercept
d)
Origin
44.
What is the base in 28 ?
a)
8
b)
2
45.
In the Pythagorean Theorem, c is always the ____ number.
a)
largest
b)
smallest
c)
middle
d)
first
46.
0.0000713 converted to scientific notation is ______.
a)
7.13 x 10-5
b)
7.13 x 105
c)
7.13 x 10-4
d)
7.13 x 104
47.
At a home improvement store, customers can rent a small cargo truck to transport any large items they purchase.  The store charges $20 as a rental fee plus $7.50 per hour to rent the truck.  Which equation best represents the situation?  
a)
y=7.5x - 20
b)
y=7.5x + 20
c)
y=20x - 7.5
d)
y=20x + 7.5
48.
What kind of angles are shown?
a)
complementary
b)
supplementary
c)
adjacent
d)
corresponding
49.

∠1 and ∠3 can best be described as -

a)

complementary angles

b)

supplementary angles

c)

vertical angles

d)

the best angle

50.
Find the value of x.
a)
15
b)
16
c)
18
d)
19
51.
Tell whether the angles are complementary or supplementary. Then find the value of x.
a)
Complementary; x=25
b)
Complementary; x=5
c)
Supplementary; x=25
d)
Supplementary; x=5
52.
Solve for x
a)
6
b)
140
c)
20
d)
90
53.
What is the measure of angle b?
a)
36o
b)
56o
c)
63o
d)
117o
54.
Find the measure of the indicated angle. 
a)
95
b)
85
c)
35
d)
45
55.
Slope, in basic terms, is simply...
a)
Rise over run
b)
Run over rise
c)
Left over down
d)
Right over up
56.
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
57.
Which number is NOT a perfect square?
a)
196
b)
169
c)
121
d)
132
58.
Solve for v.
a)
60
b)
-3
c)
15
d)
3
59.
Find the slope.
a)
5/1
b)
1/5
c)
2/1
d)
1/2
60.
What is the opposite of squaring a number?
a)
divide
b)
multiply 
c)
fractions
d)
square root
61.
Find the missing side
a)
29.2
b)
20
c)
400
d)
10
62.

What is 7,000,000 written in scientific notation?

a)

7 million

b)

7 x 10-6

c)

7 x 106

d)

7 x 107

63.

What is the volume of the Cylinder?

a)

565.2 yd3

b)

141.3 yd3

c)

180 yd3

d)

30 yd3

64.

Evaluate the expression.

a)

b

b)

b1.25

c)

b20

d)

b9

65.

What is 3.2 x 10-4 written in standard form?

a)

32,000

b)

320,000

c)

0.00032

d)

0.000032

66.

What is the volume of a cone with a diameter of 10 cm and a height of 6 cm? (Use 3.14 for π)

a)

60 cm3

b)

188.4 cm3

c)

471 cm3

d)

157 cm3

67.

Which of the following is rational?

a)

√2

b)

√25

c)

√3

d)

√50

68.

Which of the following is irrational?

a)

∛8

b)

π

c)

√9

d)

-0.85

69.

Which graph shows a function?

a)
b)
70.

How many solutions does √16 have?

a)

one

b)

two

c)

infinite

d)

none

71.

Which linear equation has a slope of -3 and a y-intercept of (0,4)?

a)

y = 3x - 4

b)

y = -3x + 4

c)

y = 4x - 3

d)

y = -4x + 3

72.
-2(x+2) < 14
a)
x < - 5
b)
x > -5
c)
x < -9
d)
x > -9
73.
Write an inequality for the situation:
George rented a bike for 4 hours. There was a $10 dollar deposit to pay in addition to the hourly rate. What was the hourly rate if the total came to less than or equal to $65?
a)
10x + 65 ≥ 40
b)
4x + 10 ≤ 65
c)
4x - 10 ≤ 65
d)
65 + 4x ≥ 40
74.
The horizontal axis is the _____.
a)
X-axis
b)
Y-axis
c)
Origin
d)
Slope
75.
The domain is all the ______.
a)
X-values
b)
Y-values
c)
Positive numbers
d)
Negative numbers
76.
The range is all the ______.
a)
X-values
b)
Y-values
c)
Positive numbers
d)
Negative numbers
77.
Dilations will always keep the same ________
a)
Orientation
b)
Size
c)
Area
d)
Perimeter
78.
Translation are always _______
a)
Congruent
b)
Bigger
c)
Smaller
d)
Rotated
79.
When you translate, you are simply _______ the shape around the coordinate plane.
a)
Sliding
b)
Rotating
c)
Reflecting
d)
Expanding
80.
When you rotate a shape, the shape remains ________.
a)
Congruent
b)
In the same place
c)
In the same orientation
d)
A function
81.
When you reflect a shape, you ______ over an axis or line.
a)
Flip
b)
Rotate
c)
Slide
d)
Expand
82.
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)
83.

Which two functions have a graph that is a line?

a)

y = 3/x + 2

b)

y = 2x2– 9x

c)

y = –3x

d)

y = 2x – 9

e)

y = –6x/7

84.

Select all of the following equations which define linear functions.

a)

y = 3/5

b)

y = x2 – 7

c)

y = 6 – 5x

d)

y = 9x

e)

y = 4/x + 1

85.

Which sets of ordered pairs are functions?

Choose all that apply.

a)

(9, -1), (8, -2), (7, -3), (6, -4)

b)

(5, -1), (5, -2,), (5,12), (5, 0)

c)

(4, 2), (-4, 2), (2, 4), (-2, -4)

d)

(1, -4), (2, -4,), (3, -4), (4, -4)

e)

(5, 8), (4, 9), (5, 9), (4, 8)

86.
Dave owns a lawn business. He charges $10 per hour and a $25 dollar disposal fee. What is the correct equation Dave would use to find out how much to charge his customers?
a)
y = 25x + 10
b)
x = 25y + 10
c)
y = 10x +25
d)
x = 10y + 25
87.

What's the initial value of the equation y = 2x + 4

a)

4

b)

-4

c)

2

d)

2x

88.
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
89.

What are the rate of change and initial value?

a)

Rate of Change = 3 Initial Value = 8

b)

Rate of Change = 1/3 Initial Value = 8

c)

Rate of Change = 8 Initial Value = 3

d)

Rate of Change = 8 Initial Value = 1/3

90.

Reflection means

a)

turn

b)

flip

91.

Simplify: 58 x 5-3

a)

55

b)

511

c)

5-24

d)

255

92.

List the numbers in order from GREATEST to LEAST?

a)
b)
c)
d)
93.

Figure 1 can be transformed to create Figure 2 using a single transformation. Which transformation can be used to accomplish this?

a)

dilation

b)

rotation

c)

reflection

d)

translation

94.

What is the cost of 8 pounds of gummy candy?

a)

$ 12.50

b)

$ 8.00

c)

$ 13.00

d)

$ 12.00

95.

If Δ ABC is rotated 90° clockwise about the origin, what will be the new coordinates of vertex B?

a)

( 4, - 1)

b)

( 4, 1 )

c)

( 1, 4 )

d)

( -1, -4 )

96.
Angle 1 = 27o
Find the measure of angle 4
a)
27o
b)
153o
c)
63o
d)
90o
97.

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

a)

Irrational Numbers

b)

Natural Numbers

c)

Rational Numbers

d)

Integers

98.

Simplify the expression using exponents.

a)

818

b)

915

c)

98

d)

8115

99.

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

a)

23

b)

1428

c)

228

d)

211

100.

This is between which two integers?

a)

12 and 13

b)

13 and 14

c)

45 and 46

d)

91 and 92