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Math 8 Cumulative Review

Total questions: 74

Worksheet time: 3hrs 9mins

Name
Class
Date
1.

Solve: 5x - 14 = 8x + 4

a)

6

b)

-6

c)

-18/13

d)

10/3

e)

5

2.
Identify the transformation from ABC to A'B'C'.
a)
(x+8, y+4)
b)
(x-8, y-4)
c)
(x+4, y+8)
d)
(x-4, y-8)
3.
Identify the transformation from ABCD to A'B'C'D'.
a)
90o rotation
b)
Translation
c)
Reflection across the x-axis
d)
Reflection across the y-axis
4.
Identify the transformation from B to D.
a)
90o Clockwise Rotation
b)
180o Rotation
c)
270o clockwise Rotation
d)
360o Rotation
5.

Find the measure of the indicated angle.

a)

180

b)

70

c)

54

d)

56

e)

65

6.

Find the measure of the indicated angle.

a)

145

b)

113

c)

102

d)

78

e)

82

7.

Determine whether the relation is a function?

a)

Yes

b)

No

8.

Multiply.

a)

8.0 x 1012

b)

8.0 x 107

c)

8.0 x 101

d)

8.0 x 10-1

e)

8.0 x 100

9.

Which graph is described by y = x/3 + 1?

a)

A

b)

B

c)

C

d)

D

10.
Write the equation for the line in slope-intercept form.
a)
y= -1x+3
b)
y= 4x+3
c)
y=(1/4)x+3
d)
y= -4x+3
11.
Write the equation of the line.
a)
y= -1x-3
b)
y= -3x-1
c)
y=(-1/3)x-1
d)
y= -3x-3
12.
Question #12
a)
x = 25
b)
x = 35
c)
No Solution
d)
Infinite Solutions
13.
Question #13
a)
x = 25
b)
x = 35
c)
x = 30
d)
x = 20
14.
For lunch, Amanda had a hamburger and some potato chips. The hamburger totaled 325 calories and each chip had 12 calories. Write a liner equation to represent the situation.
a)
y = 12 + 325
b)
y = 12x  + 325
c)
y = 325 - 12x
d)
y = 325x + 12
15.

Find the volume of the sphere. Round your answers to the nearest tenth if necessary. Use 3.14 for π.

a)

310.2 cm3

b)

379.2 cm3

c)

240.8 cm3

d)

456 cm3

16.
Find the volume of the cone. Round your answers to the nearest tenth. Use 3.14 for π.
a)
320.4 in3
b)
314 in3
c)
205.5 in3
d)
267.4 in3
17.
Find the volume of the cone. Round your answers to the nearest tenth. Use 3.14 for π.
a)
1,356 m3
b)
1,734 m3
c)
377 m3
d)
590 m3
18.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
19.
Find the length of the missing side. 
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
20.
Find the length of the missing side. 
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
21.
On a number line, the square root of 50 is located between which two integers?
a)
between 5 and 6
b)
between 7 and 8
c)
between 25 and 26
d)
between 50 and 51
22.
Convert 0.444... to a fraction.
a)
4/10
b)
4.4/99
c)
4/9
d)
2/5
23.

Simplify (74)(73)(7-2)

a)

712

b)

77

c)

75

d)

7-24

24.
Divide:
(6.9 x 107) / (2.3 x 10-3)
a)
3 x 1010
b)
3 x 104
c)
3 x 10-4
d)
3 x 10-11
25.
ANY number raised to a power of 0 will be....
a)
10
b)
itself
c)
1
d)
0
26.

Simplify the expression.

(3258)/(3356)

a)

25/3

b)

9/25

c)

5/3

d)

10/6

27.

Simplify

2(4 + 9w)

a)

6+9w

b)

8+2w

c)

4+9w

d)

8+18w

28.
What is the type of association?
a)
Negative 
b)
no association
c)
positive 
29.
As x increases, y decreases.
a)
no correlation
b)
negative correlation
c)
correlation coefficient
d)
positive correlation
30.
As x increases, y increases
a)
correlation coefficient
b)
causation
c)
positive correlation
d)
negative correlation
31.
-14 could NOT be which type of number?
a)
Integer
b)
Real
c)
Rational
d)
Natural
32.

Which number is an irrational number?

a)

√9

b)

√49

c)

√100

d)

√120

33.
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
34.
Find the slope of the line.
a)
1/2
b)
-1/2
c)
2
d)
-2
35.
Find the slope of the line.
a)
1/4
b)
-1/4
c)
-4
d)
4
36.
What is the slope?
a)
-1/3
b)
-3
c)
-4
d)
5
37.
TRUE or FALSE.
Rotation, translations, and dilations preserve congruence. 
a)
True
b)
False
38.
Which of these represents slope-intercept form?
a)
y - y1 = m(x-x1)
b)
Ax + By = C
c)
y = mx + b
39.
An office supply store sells index cards in two different sizes. The large size is an enlargement of the small size. Both sizes are shown. Find the scale factor of the enlargement.
a)
2
b)
3
c)
4
d)
5
40.
Reflect the point (-1, 2) over the y-axis.
a)
(-1, -2)
b)
(1, 2)
c)
(1, -2)
d)
(1, 4)
41.
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
42.
Find the slope from the table:
a)
-2/5
b)
5/-2
c)
5/2
d)
2/5
43.
If rectangle ABCD has a length of 13 cm and width of 8 cm, what is the length of diagonal AC?
a)
About 15.1 cm
b)
About 15.3 cm
c)
About 15.7 cm
d)
About 15.9 cm
44.
The library is 10 kilometers south of Aaron's home. The school is 10 kilometers east of Aaron's home. How many kilometers is the library from school?
a)
About 14.1 km
b)
About 20 km
c)
About 100 km
d)
About 17.1 km
45.
Write a rule for the translation.
a)
 (x -1, y  + 2)
b)
 (x -2, y  + 1)
c)
 (x +2, y  - 1)
d)
(x +1, y  -  2)
46.

Solve for x and y

y= 6x+4

y = (1/2)x - 7

a)

(-2, -16)

b)

No Solution

c)

(-8, -2)

d)

(-2, -8)

47.
What type of number is π ?
a)
Decimal
b)
Rational
c)
Integer
d)
Irrational
48.

How many solutions does the following have?

4x - 2 = 2(2x -1)

a)

No Solution

b)

Infinite number of solutions

c)

1 Solution

49.
The solution to this system is?
a)
(3,1)
b)
(-1,3)
c)
(2,3)
d)
(1,3)
50.
What is the solution?
a)
No solution
b)
(0, 2)
c)
(0, -4)
d)
(3, -3)
51.

Is the following a function?


{(3, 2),(8, 7), (10, 5), (6, 7), (-2, 7)}

a)

no

b)

yes

52.
All Integers are Rational Numbers.
a)
Always TRUE
b)
Always FALSE
c)
Sometimes True
53.
Simplify:
(2xy3)3 (3x3y-2)2
a)
36x3y9
b)
72x9y5
c)
6x9y5
d)
24x4y10
54.
Convert this repeating number into a fraction:
0.424242...
a)
14/99
b)
42/99
c)
14/33
d)
2/37
55.
Simplify:
(2x-3)-3
a)
x9 / 8
b)
8 / x9
c)
x8 / 9
d)
-8x9
56.
What is the measure of ∠A
a)
∠A=82°
b)
∠A=98°
c)
∠A=180°
d)
∠A=8°
57.
What would the next to last step look like in solving this:
2(-3x + 3) = x - 2
a)
15 = 7x
b)
6 = 7x - 4
c)
8 = 7x
d)
6x = 7
58.

What is the sum of the integers between -√23 and √47 ?

a)

18

b)

13

c)

7

d)

19

59.
What is the equation and slope of this line?
a)
y = 5
slope is zero
b)
x = 5
slope is zero
c)
x = -5
slope is undefined
d)
y = 5
slope is undefined
60.
Find the slope of the line containing the points (5,7) and (5, -3)
a)
0
b)
undefined
c)
-1
d)
10
61.
How would you write
4.3756 x 104 
in standard form?
a)
437,560,000
b)
0.00043756
c)
43,756
d)
4,3756
62.
Express the following in Scientific Notation:
.000457
a)
457 x 106
b)
457 x 10-6
c)
4.57 x104
d)
4.57 x 10-4
63.
How do you write
1001
in Scientific Notation?
a)
1.0001 x 104
b)
1.01 x 105
c)
1.001 x 103
d)
10.1 x 103
64.
 In order to join an online learning community, there is a $20 startup fee and a $5 monthly fee. Write an equation in slope-intercept form that models this situation.
a)
y = 20x + 5
b)
y = 5x + 20
c)
y = 20x - 5
d)
y = 5x - 20
65.
For babysitting, Nicole charges a travel fee of $3, plus $5 per hour. Write an equation for the cost, C, after h hours of babysitting. 
a)
C = 5h + 3
b)
C = 3h + 5
c)
H = 5c + 3
d)
H = 3c + 5
66.

A 14-foot ladder is set up 4 feet from the base of a building. How far up the building does the ladder reach?

a)

The ladder reaches about 13.2 feet.

b)

The ladder reaches about 13.6 feet.

c)

The ladder reaches about 13 feet.

d)

The ladder reaches about 13.4 feet.

67.

Which of the following is an irrational number?

a)

√25

b)

√38

c)

-√36

d)

(4/3)

68.

How many solutions does the following have?


3(x-2) - 10x = -3(2x -4) - x

a)

1 Solution

b)

Infinitely Many Solutions

c)

No Solutions

69.

Mr. Shoelace is putting a fence around his garden....The garden is in the shape of a right triangle with a hypotenuse length of 13 feet and a leg length of 5 feet...How much fencing will Mr. Shoelace need to buy?

a)

12 feet

b)

30 feet

c)

32 feet

d)

14 feet

70.

Barry is building a rectangular garden in his backyard. The length is going to be 5 feet more than three times the width. If he is placing 66 feet of wiring around the garden to keep the squirrels out, what is the length of the garden?

a)

7 feet

b)

26 feet

c)

15.25 feet

d)

50.75 feet

71.

Four less than twice a number, x, is equal to 10 more than the number, x. What is the number?

a)

14

b)

-2

c)

6

d)

-6

72.

Several students decide to start a t-shirt company. Their start up cost was $280. They will purchase each t-shirt at a wholesale price of $3.99 and plan to sell each shirt for $10.99. How many t-shirts must they sell to break even?

a)

40 shirts

b)

50 shirts

c)

30 shirts

d)

20 shirts

73.

A rectangle has a width of nine fewer than twice its length. If the perimeter of the rectangle is 84, what is the width?

a)

17

b)

25

c)

31

d)

53

74.

Simplify:

a)

44/36

b)

44

c)

1/(3644)

d)

3644

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