Free Printable 8th REVIEW

1.

What error did the student make when plotting the point (3, 4) according to the picture?

a)

The student moved left along the x-axis when he should have moved right

b)

The student plotted the y-coordinate in place of the x-coordinate

c)

The student didn't make a mistake

d)

Both Options 1 and 2

2.

Where is point E located?

a)

( 2, 0 )

b)

( 2 , 2 )

c)

( 0 , 2 )

d)

( 0 , 0 )

3.

Which line is being represented by the graph?

a)

y = 3/4 X -3

b)

y = -3/4x + 4

c)

y = 3/4x + 4

d)

y = -3/4 x - 3

4.

Which is the graph of y= -x + 2?

a)

A

b)

B

c)

C

d)

D

5.

What type of slope does the following graph have?

a)

Postive

b)

Negative

c)

Zero Slope

d)

Undefined

6.

Find the slope.

a)

3/2

b)

-3/2

c)

(-0,-3)

d)

none of the above

7.

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

8.

Find the slope of the line.

a)

3/2

b)

2/3

c)

-3/2

d)

-2/3

9.

In the equation, y = mx + b, the letter b is the ___________.

a)

y-intercept

b)

x-intercept

c)

slope

d)

rate of change

10.

Identify the y-intercept for the function:
y=-3x

a)

-3

b)

0

c)

1

d)

-1

11.

Consider the equation:
y=-x+4
Identify the slope and y-intercept.

a)

m=4, b=-x

b)

m=-x, b=4

c)

m=1, b=4

d)

m=-1, b=4

12.

Given the equation y = 2x+3, what is the slope?

a)

2

b)

x

c)

3

d)

2/3

13.

Given the equation y=-4x+5, what is the y-intercept?

a)

-4

b)

x

c)

5

d)

-4/5

14.

What does "m" represent in y=mx+b?

a)

y-intercept

b)

slope

c)

macaroni

d)

x-intercept

15.

What does 'b" represent in y=mx=b

a)

y-intercept

b)

macaroni

c)

x-intercept

d)

slope

16.

What is the solution to the system?

a)

(0, 3)

b)

(1, -1)

c)

(-3, 1)

d)

(1, 3)

17.

^{What is the solution?}

a)

1

b)

-2

c)

(1, 2)

d)

(1, -1)

18.

What is the solution?

a)

(6, 3)

b)

(3, 6)

c)

(-6, 3)

d)

No solution

19.

Parallel Lines never intersect because...

a)

they have the same slopes.

b)

they have the same y-intercept.

c)

they have different slopes.

d)

they have different y-intercepts.

20.

Does the system have one, none or infinite solutions?
8x + 4y = 12
y = -2x + 3

a)

(0,3)

b)

(3,0)

c)

No solution(parallel lines)

d)

Infinitely many solutions

21.

2x - y = 0

4x - y = 0

a)

(1,2)

b)

(0,0)

c)

No Solutions

d)

Infinite Solutions

22.

How many solutions?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

23.

Solve for x and y.
y = 2/3x - 2
y = -x + 3

a)

(0,3)

b)

(0,-3)

c)

(3,0)

d)

(-3,0)

24.

2x - y = 0

4x - y = 0

a)

(1,2)

b)

(0,0)

c)

No Solutions

d)

Infinite Solutions

25.

The equations of two lines are:
2x-y=4 and y=-2x+8.
What is the value of x in the solution for this system?

a)

x=8

b)

x=3

c)

x=11

d)

x=5

26.

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

a)

intersecting lines

b)

parallel lines

c)

skew lines

d)

intersecting lines

27.

What is the value of the y-coordinate of the solution to the system of equations
x-2y=1
x+4y=7

a)

1

b)

-1

c)

3

d)

4

28.

What is the solution?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

29.

What is the solution?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(2, 0)

30.

Solve the following system by setting the two equations equal to each other. What is the solution?
HINT: - 1/3x + 4 = 2/3x + 1 and then solve for x. Once you find x go back and find y.

a)

Infinite number of solutions

b)

(3, 3)

c)

(3, -3)

d)

(-3, 3)

31.

Which of the following is not a method to solve systems?

a)

Elimination

b)

Difference of Squares

c)

Substitution

d)

Graphing

32.

What is the formula for Pythagorean theorem?

a)

a²⁺b²=c²

b)

a+b=c

c)

a-b=c

d)

c-a=c

33.

Level 1

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

34.

Level 1

If a right triangle has side lengths 6, 6.7 and 3, which side is the hypotenuse?

a)

6

b)

6.7

c)

3

d)

15.7

e)

None of them

35.

Level 2

Solve for the value of y

a)

13

b)

5

c)

23

d)

10

36.

Level 3

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

37.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

3

38.

_{^{Find the missing side}}

a)

29.2

b)

20

c)

400

d)

10

39.

_{^{Find the missing side}}

a)

36

b)

76.8

c)

12

d)

40

40.

_{^{Find the missing side}}

a)

9

b)

26.9

c)

37

d)

18.2

41.

_{^{Find the missing side}}

a)

48

b)

108

c)

83.6

d)

72

42.

Do these 3 side lengths form a right triangle?
13, 80, and 81?

a)

yes

b)

no

43.

Given the 3 lengths of a triangle are 6 in, 8 in and 10 in. Will this make a right triangle?

a)

yes

b)

no

44.

Find the distance between points A and B. Round to the nearest tenth.

(a)

45.

Scientific Notation is made up of two number parts. The first part should be a number between 1 and 100.

a)

True

b)

False

46.

When writing a number in scientific notation, the first number must be greater than 1, but less than 10.

a)

False

b)

True

47.

How would you write 4.3756 x 10⁴in standard form?

a)

437,560,000

b)

0.00043756

c)

43,756

d)

4,3756

48.

How would you write 0.0005 in scientific notation?

a)

50 x 10⁵

b)

5 x 10⁴

c)

5 x 10³

d)

.5 x 10³

49.

How would you write -5.6 x 10^-3 in standard form?

a)

0.0056

b)

-5,600

c)

0.00056

d)

-0.0056

50.

How would you write -5.6 x 10^-3 in standard form?

a)

0.0056

b)

-5,600

c)

0.00056

d)

-0.0056

51.

How do you write
8.317 x 10⁶in standard form?

a)

8, 371, 000

b)

83, 170, 000

c)

837, 100

d)

8, 317, 000

52.

Which of the following is correct scientific notation?

a)

20.35 x 10⁴

b)

.2035 x 10⁴

c)

2035⁴

d)

2.035 x10⁴

53.

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

54.

Express the following in standard notation:
8.025 x 10^-⁸

a)

.00000008025

b)

.000000008025

c)

802,500,000,000

d)

80,250,000,000

55.

Express the following in scientific notation:
10,030,400,000

a)

1.00304 x 10⁹

b)

1.00304 x 10¹⁰

c)

1.00403 x 10¹⁰

d)

1.00304 x10^-10

56.

Express the following in scientific notation:
0.0000002203

a)

.02203 x 10⁷

b)

22.03 x 10^-6

c)

2.203 x 10^-7

d)

22.03 x 106

57.

Convert to scientific notation:
520,000,000

a)

52 x 10⁷

b)

5.2 x 10⁷

c)

5.2 x 10⁸

d)

0.52 x 10⁹

58.

Convert to standard notation:
2.4 x 10^-3

a)

2400

b)

0.24

c)

0.024

d)

0.0024

59.

Convert to standard notation:
3.05 x 10⁵

a)

305,000

b)

305

c)

3,050,000

d)

30,500

60.

UNDERSTANDING
If the exponent is a positive number...

a)

you will get a large number

b)

you will get a smaller number

61.

UNDERSTANDING
If the exponent is a negative number...

a)

you will get a large number

b)

you will get a small number

62.

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.

63.

a)

Function

b)

Not a Function

64.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

65.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

66.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

67.

Find the rate of change

a)

1

b)

2

c)

11

d)

Not a constant slope/Non-Linear

68.

Does this relation represent a function?
(1,5), (1,6), (1,7), (1,8), (1,9)

a)

Yes

b)

No

69.

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

a)

Horizontal Line Test

b)

Eye Test

c)

Vertical Line Test

d)

Diagonal Line Test

70.

Does this table represent a function?

a)

Yes

b)

No

71.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

72.

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)

73.

Which graph does NOT pass the vertical line test?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

74.

.

a)

Function

b)

Not a Function

75.

a)

Function

b)

Not a Function

76.

Is this set of ordered pairs a function or not a function?

a)

Function

b)

Not a Function

77.

What is the number in a power that tells how many times, the base is used?

a)

Base number

b)

Exponent

c)

Multiplication

d)

Addition

78.

Using exponents is a short cut for using what mathematical operation?

a)

Division

b)

Addition

c)

Multiplication

d)

Subtraction

79.

2⁵ is the same as 2 x 5.

a)

True

b)

False

80.

Which number is the BASE?
2³= 8

a)

2

b)

3

c)

8

81.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

82.

According to exponent rules, when we multiply powers we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

83.

According to exponent rules, when we raise a power to a power we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

84.

Simplify the following:
(x³)⁶

a)

x⁹

b)

x¹⁸

c)

x⁶

d)

x³

85.

Simplify:
(2⁸)²

a)

2¹⁶

b)

2¹⁰

c)

2⁶

d)

2⁴

86.

Division Law states: keep the base the same and do this to the exponents.

a)

multiply

b)

add

c)

subtract

d)

divide

87.

According to exponent rules, when we multiply the same base we _______ the exponents.

a)

Multiply

b)

Add

c)

Divide

d)

Subtract

88.

According to exponent rules, when we divide powers we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

89.

Simplify (c⁵)(c³)(c³)

a)

c⁴⁵

b)

3c¹¹

c)

c¹¹

d)

3c⁴⁵

90.

Simplify:
9³⋅ 9^{4 =}9¹²

a)

True

b)

False

91.

In order to multiply powers with the same base, we add their exponents.

a)

True

b)

False

92.

Simplify the expression: r⁶⋅r²⋅r³=

a)

r⁶⁺²⁺³

b)

r¹¹

c)

11r

93.

Evaluate this expression using the quotient rule.

a)

9⁵

b)

9⁹

c)

1⁵

d)

9^-5

94.

Evaluate the expression using the quotient rule.

a)

1²²

b)

1³⁰

c)

6²²

d)

6³⁰

95.

4⁰

a)

0

b)

1

c)

4

d)

-4

96.

Evaluate the expression using the quotient rule.

a)

7⁶

b)

7^-5

c)

1/7⁵

d)

7⁵

97.

Rewrite using a positive exponent.
(-5)^-4

a)

(-5)⁴

b)

¹/_(-5)^-4

c)

¹/_(-5)⁴

d)

-625

98.

Rewrite using a positive exponent.
w^-13

a)

-w¹³

b)

¹/_w¹³

c)

¹/_w^-13

d)

w¹³

99.

Write the slope-intercept form of the equation of each line.

a)

$x=1$

b)

$y=\frac{1}{5}$

c)

$y=1$

d)

$x=-1$

100.

Write the slope-intercept form of the equation of each line.

a)

y=-x+4

b)

$y=-4x-1$

c)

$y=5x+4$

d)

$y=4x-1$

101.

Write the slope-intercept form of the equation of each line.

a)

y=-x+4

b)

$y=-4x-1$

c)

$y=5x+4$

d)

$y=4x-1$

102.

Write the slope-intercept form of the equation of each line.

a)

$y=3x-3$

b)

$y=-\frac{1}{3}x-3$

c)

$y=\frac{8}{3}x-3$

d)

$y=-3x+3$

103.

Write the slope-intercept form of the equation of each line.

a)

y=-\frac{5}{2}x-4

b)

$y=-4x-1.5$

c)

$y=\frac{5}{2}x-4$

d)

$y=4x-\frac{5}{2}$

104.

Write the slope-intercept form of the equation of each line.

a)

y=x

b)

$x=0$

c)

$y=0$

d)

$y=-x$

105.

a)

y=x

b)

$y=-x$

c)

$y=-\frac{4}{3}x$

d)

$y=0$

106.

a)

y=-x-4

b)

$y=x-4$

c)

$y=-x+4$

d)

$y=-4$

107.

a)

y=2x-3

b)

$y=2x+1.5$

c)

$y=-3x+\frac{3}{2}$

d)

$y=-x+3$

108.

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

109.

Solve:
(2.1×10²) × (3.0×10⁴)

a)

5.1 x 10²

b)

6.3 x 10⁶

c)

5.1 x 10⁶

d)

6.3 x 10⁸

110.

Solve:
(6 x 10⁶) / (2 x 10³)

a)

12 x 10³

b)

3 x 10⁹

c)

1.2 x 10⁴

d)

3 x 10³

111.

(2.8 * 10⁸) (2.2*10³)

a)

6.16 * 10²⁴

b)

5.0 * 10¹¹

c)

6.16 * 10¹¹

d)

61.6 * 10¹¹

112.

Solve and put your answer in Scientific Notation

(2 x 10³)³

a)

8 x 10⁹

b)

2 x 10⁹

c)

6 x 10⁶

d)

6 x 10⁹

113.

Solve and put your answer in Scientific Notation

(4 x 10⁴)²

a)

8 x 10⁸

b)

16 x 10⁸

c)

1.6 x 10⁹

d)

1.6 x 10⁷

114.

Solve for x.

a)

-11

b)

9

c)

-9

d)

10

115.

Solve for x.

a)

8

b)

-10

c)

-7

d)

6

116.

Solve for x.

a)

5

b)

12

c)

-7

d)

-6

117.

Solve for x.

a)

4

b)

6

c)

7

d)

-10

118.

Solve for x.

a)

-11

b)

-12

c)

-6

d)

11

119.

Solve for x.

a)

7

b)

9

c)

-11

d)

-6

120.

Find the measure of angle A.

a)

20 degrees

b)

22 degrees

c)

21 degrees

d)

100 degrees

121.

Find the measure of angle A.

a)

21 degrees

b)

31 degrees

c)

128 degrees

d)

24 degrees

122.

Find the measure of angle A.

a)

30 degrees

b)

160 degrees

c)

140 degrees

d)

32 degrees

123.

Find the measure of angle A.

a)

21 degrees

b)

31 degrees

c)

128 degrees

d)

24 degrees

124.

Find the measure of the indicated angle.

a)

35 degrees

b)

40 degrees

c)

25 degrees

d)

30 degrees

125.

Find the measure of the indicated angle.

a)

38 degrees

b)

43 degrees

c)

22 degrees

d)

76 degrees

126.

Find the measure of the indicated angle.

a)

87 degrees

b)

82 degrees

c)

83 degrees

d)

72 degrees

127.

Find the measure of the indicated angle.

a)

145 degrees

b)

24 degrees

c)

20 degrees

d)

21 degrees

128.

Find the measure of the indicated angle.

a)

22 degrees

b)

130 degrees

c)

20 degrees

d)

25 degrees

129.

10x + 9 = 4x - 9

a)

0

b)

3

c)

-3

d)

-18

130.

7w + 5 = 3w - 15

a)

5

b)

-2

c)

2

d)

-5

131.

8w - 8 = -4x + 16

a)

8

b)

16

c)

24

d)

2

132.

Solve the equation:
7x - 4 = 3 + 8x

a)

x = 7

b)

x = -7

c)

x = 2/7

d)

x = 11

133.

Solve: 5x - 14 = 8x + 4

a)

6

b)

-6

c)

-18/13

d)

10/3

134.

2c - 12 = 9c + 2

a)

14

b)

2

c)

-2

135.

f - 4 = 6f + 26

a)

-5

b)

5

c)

6

d)

-6

136.

14p - 8 = 22 + 20p

a)

-5

b)

5

c)

30

137.

12x - 15 = 3(2x+3)

a)

x = 4

b)

x = -4

c)

x = 2

d)

x = -2

138.

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

a)

16

b)

2

c)

-8

d)

-10

139.

-6(1 - 6r) = -2(r + 3)

a)

14

b)

0

c)

-11

d)

4

140.

Solve:
5y+34 = -2(-7y+1)

a)

y = -4

b)

y = 9

c)

y = 4

d)

y = 36/19

141.

Solve: 2(4x - 3) - 8 = 4 + 2x

a)

5/3

b)

3

c)

1

d)

2

142.

Solve:
5y + 34 = -2(-7y+1)

a)

y = -4

b)

y = 9

c)

y = 4

d)

y = 36/19

143.

8 - 9t = 21t - 17

a)

t = 6/5

b)

t = 5/6

c)

t = 1

144.

3 - 5x = -9 + x

a)

4

b)

3

c)

2

d)

1

145.

A slide is also called a _________.

a)

Translation

b)

Reflection

c)

Rotation

d)

Transformation

146.

A turn is also called a ___________.

a)

Translation

b)

Reflection

c)

Rotation

d)

Transformation

147.

The image shows what type of transformation

a)

Rotation

b)

Translation

c)

Reflection

148.

What is this picture an example of?

a)

An angle

b)

A cat vertex

c)

Rotation

149.

What is this picture an example of?

a)

An angle

b)

A cat vertex

c)

Rotation

150.

Describe the Transformation

a)

Translation

b)

Rotation

c)

Reflection

151.

Describe the Transformation

a)

Translation

b)

Rotation

c)

Reflection

152.

Reflection or Rotation

a)

Reflection

b)

Rotation

153.

Turning an Object

a)

Reflection

b)

Rotation

c)

Translation

154.

Rotation or Reflection

a)

Rotation

b)

Reflection

c)

translation

155.

See the question in the picture.

a)

Reflection

b)

Rotation

c)

Dilation

d)

Translation

156.

See the question in the picture.

a)

M' (-3,1), N' (-3,3), and P' (-1,4)

b)

M' (-2,4), N' (2, -2), and P' (4, -1)

c)

M' (2, 6), N' (2, 8), and P' (4, 9)

d)

M' (7, 1), N' (7, 3), and P' (9, 4)

157.

a)

reflection

b)

rotation

c)

dilation

d)

translation

158.

a)

(-6, -5)

b)

(-5, -6)

c)

(5, 6)

d)

(6, 5)

159.

a)

(-1, -3)

b)

(1, -1)

c)

(-1, -1)

d)

(1, 1)

160.

a)

3/2

b)

2/3

c)

4/5

d)

5/4

161.

Figure XYZ is a triangle with a base of 12 inches. If XYZ is dilated by a scale factor of 1.5, what will be the length of triangle X'Y'Z's base?

a)

19

b)

22

c)

18

d)

7

162.

a)

(12, -9)

b)

(9, 6)

c)

(4, -2)

d)

(-6, 12)

163.

a)

M' (8, -3)

b)

M' (-8, -3)

c)

M' (8, 3)

d)

M' (-3, 8)

164.

*hint* find how many spaces are in between point A and line segment BC to see if it will help you find your answer.

a)

(13, 4)

b)

(13, 15)

c)

(8, 4)

d)

(13, 7)

165.

a)

A (4, 5) A' (-4, -5)

b)

A (4, 5) A' (-4, 5)

c)

A (4, 5) A' (4, -5)

d)

A (4, 5) A' (5, -4)

8th REVIEW

Total questions: 165

Worksheet time: 8hrs 47mins

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