Free Printable 8th Grade Math Final Exam Review

1.

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 180 pages.

a)

12 chapters

b)

15 chapters

c)

18 chapters

d)

21 chapters

2.

Which scatter plot shows a linear relationship between x and y?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

3.

What is a line of best fit used for?

a)

To make predictions

b)

To make the graph look pretty

c)

To connect the points

d)

To make it look like you know what you are doing

4.

Is this line an accurate line estimate of best fit for the data?

a)

Yes

b)

No

5.

What is the equation of the line of best fit

a)

y= -2x + 10

b)

y= 10x+ 2

c)

y=2x+10

d)

y= 10

6.

Which sentence describes the relationship shown on this scatter plot?

a)

As the temperature decreases, the visitors increase.

b)

As the temperature increases, the number of visitors increases.

c)

As the visitors increase, the temperature decreases.

d)

No correlation

7.

What is the y - intercept?

a)

(0,0)

b)

(0,5)

c)

(0, - 4)

d)

(0, 4)

8.

Which equation matches the table?

a)

y = x

b)

y = 5x

c)

y = x - 4

d)

y = x + 4

9.

Write the equation of the line.

a)

y= -1x-3

b)

y= -3x-1

c)

y=-1/3x-1

d)

y= -3x-3

10.

Which equation matches the graph?

a)

y = 2x

b)

y = 1/4 x + 2

c)

y = 1x + 4

d)

y = -2x

11.

Identify the slope of the following graph.

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

12.

Identify the slope of the following graph.

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

13.

Identify the slope of the following graph.

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

14.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

15.

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

a)

y-intercept

b)

slope

c)

macaroni

d)

x-value

16.

If m=3 and b=6, what is the correct slope intercept equation?

a)

y=3-6

b)

y=3x-6

c)

y=3x+6

d)

y=6x+3

17.

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

18.

Slopes of parallel lines are...

a)

opposite reciprocals.

b)

opposites.

c)

identical.

d)

always 7.

19.

y = 3x +2
y = 3x - 3
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

d)

The same line

20.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

21.

What is the slope formula?

a)

b)

c)

d)

22.

What is the y-intercept shown on the graph?

a)

(0, -2)

b)

(3, 0)

c)

(0, 3)

d)

None of these.

23.

What is the y-intercept shown on the graph?

a)

(0, -2)

b)

(4, -2)

c)

(4, 0)

d)

(0, 4)

24.

What is the x-intercept shown on the graph?

a)

(4, -2)

b)

(0, -2)

c)

(4, 0)

d)

(0, 4)

25.

Is this function linear or non linear?

a)

Linear

b)

Non Linear

26.

Which graph is linear?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

27.

Slopes of perpendicular lines are...

a)

opposite reciprocals

b)

the same

c)

opposite

d)

always 7

28.

If I am looking for a line parallel to $y=-3x-2$ which one of these equations could it be?

a)

$y=-2x-1$

b)

$y=3x-4$

c)

$y=-3x+6$

d)

$y=-2x-3$

29.

What is the slope of a line perpendicular to a line with slope ^-6/₅?

a)

^-6/₅

b)

^-5/6

c)

⁵/₆

d)

^-4/₃

30.

What does reciprocal mean?

a)

Change the sign

b)

Flip the fraction

31.

What does opposite mean?

a)

Change the sign

b)

Flip the fraction

32.

What is the opposite reciprocal of 1/2

a)

-2

b)

-1/2

c)

2/1

d)

2

33.

How many people purchased no food and no drink?

a)

60

b)

10

c)

20

d)

200

34.

How many total people were surveyed about what ice cream flavor they would pick?

a)

107

b)

92

c)

70

d)

269

35.

How many sophomores like burritos and pizza?

a)

6

b)

5

c)

11

d)

50

36.

A residual is the difference between what really happened and what was expected to happen.

a)

True

b)

False

37.

I predicted someone would lose 14 lbs, but they actually lost 12 lbs. Calculate the residual.

a)

14 - 12 = 2

b)

12 - 14 = -2

c)

14 - 2 = 12

d)

2 - 14 = -12

38.

Find the value of y when x = 12 in the given equation.

y=-2+\frac{1}{2}x

a)

10

b)

8

c)

4

d)

5

39.

As study time _______________, errors _______________.

a)

increases ; decrease

b)

increases ; increase

c)

decreases; decrease

d)

increases ; stays the same

40.

Points G, H, and I are plotted on the coordinate grid. How many units are between points G and H?

a)

9 units

b)

14 units

c)

13 units

d)

12 units

41.

What is the distance between points C and D?

a)

3 units

b)

5 units

c)

4 units

d)

2 units

42.

The area of a square is 36 cm². What is the length of one side?

a)

6 cm

b)

24 cm

c)

9 cm

d)

9 cm

43.

The area of a square picture frame is 100 cm². What is the perimeter of the frame?

a)

25 cm

b)

10 cm

c)

40 cm

d)

50 cm

44.

To find the square root of a number, you must divide it by 2.

a)

True

b)

False

45.

Which number has a square root that is between 7 and 8?

a)

48

b)

81

c)

60

d)

36

46.

What is the area of a square with a side of 7?

a)

14

b)

28

c)

49

d)

64

47.

If I know the area of a square, how do I find the side length?

a)

I square the area.

b)

I divide the area by 2.

c)

I take the square root of the area.

d)

I divide the area by 4.

48.

Square roots are the opposite of ____________.

a)

Cube Roots

b)

Squaring

c)

Multiplication

d)

Absolute Value

49.

a)

√1

b)

1

c)

-1

d)

Not possible

50.

a)

100

b)

√20

c)

10√2

d)

2√10

51.

a)

3√2

b)

√6

c)

6

d)

2√3

52.

What is the longest side of a right triangle called?

a)

Leg A

b)

Leg B

c)

Hypotenuse

d)

Pythagoras' Big Buddy

53.

Find the length of the missing side. (Leg a = 48cm; Leg b = 20cm)

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

54.

Find the length of the missing side (Leg a = 18in; Hypotenuse = 82in)

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

55.

Find the missing side (Leg a = 30; Hypotenuse = 78)

a)

48

b)

108

c)

83.6

d)

72

56.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

57.

A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across. What is this distance?

a)

210 m

b)

180 m

c)

150 m

d)

79 m

58.

How is the distance formula correctly written:

a)

$d\ =\ \sqrt{\left(y_{1\ }-\ y_2\right)^2\ -\left(x_{2\ }-\ x_1\right)^2}\$

b)

$d\ =\ \sqrt{\left(x_{2\ }-\ x_1\right)^2\ +\ \left(y_{2_{\ }}-\ y_1\ \right)^2}$

c)

$d\ =\ \sqrt{\left(y_{1\ }-\ y\ _2\right)^2\ +\ \left(x_{2\ }-\ x_1\right)}^2$

d)

d = $\sqrt{\left(x\right)^2-\ \left(y\right)^2}$

59.

Find the length of the side CD.

a)

9 units

b)

√34

c)

√5

d)

3 units

60.

∛125

a)

5

b)

4

c)

6

d)

7

61.

∛64

a)

4

b)

5

c)

6

d)

3

62.

∛27

a)

3

b)

2

c)

4

d)

9

63.

Find the distance between the points (4, 3) and (0, 6).

a)

3

b)

4

c)

5

d)

7

64.

Find the distance between the points: (-3, -4) and (5, 5)

a)

11.8

b)

14.4

c)

12

d)

19

65.

What is the distance between (-5, 3) and (4, -5)?

a)

$\sqrt{-145}$

b)

$\sqrt{145}$

c)

145

d)

-145

66.

12²

a)

144

b)

134

c)

122

d)

145

67.

True or false? 9² is 18

a)

True

b)

False

68.

What is $1^2$

a)

0

b)

1

c)

2

d)

11

69.

Simplify $4^{-2}$ .

a)

$\frac{1}{16}$

b)

$16$

c)

$\frac{1}{4}$

d)

$-42$

70.

Rewrite it using positive exponents $x^{-3}$

a)

$-x^3$

b)

$\frac{1}{x^3}$

c)

$\frac{1}{x^{-3}}$

d)

$-x^{-3}$

71.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

72.

Simplify the expression:
$\left(k^2\right)^5$

a)

$k^7$

b)

$k^3$

c)

$k^{32}$

d)

$k^{10}$

73.

Simplify the expression: $\frac{x^8}{x^2}$

a)

$x^6$

b)

$x^2$

c)

$x^4$

d)

$4x$

74.

Simplify the expression:

$\frac{a^3}{a^{12}}$

a)

$a^9$

b)

$\frac{1}{a^9}$

c)

$a^4$

d)

$\frac{1}{a^4}$

75.

(3⁴)(3⁷)

a)

3²⁸

b)

3³

c)

3^-3

d)

3¹¹

76.

(8⁵)³

a)

8⁸

b)

8¹⁵

c)

8²

d)

1/8²

77.

7⁰

a)

7¹

b)

0¹

c)

1

d)

7

78.

How would you write 0.0005 in scientific notation?

a)

50 x 10^-5

b)

5 x 10^-4

c)

5 x 10³

d)

.5 x 10³

79.

Which of the following numbers is written in scientific notation?

a)

20.35 x 10⁴

b)

.2035 x 10⁴

c)

2035⁴

d)

2.035 x 10⁴

80.

Convert to scientific notation: 520,000,000

a)

52 x 10⁷

b)

5.2 x 10^-7

c)

5.2 x 10⁸

d)

0.52 x 10⁹

81.

Which value is the greatest?

a)

5.0 x 10^-9

b)

5.0 x 10^-4

c)

5.0 x 10⁶

d)

5.0 x 10⁸

82.

Which number is the least in value?

a)

5.0 x 10^-9

b)

5.0 x 10^-4

c)

5.0 x 10⁶

d)

5.0 x 10⁸

83.

Write the answer in scientific notation.
5 x 10⁸ - 3.4 x 10⁸ =

a)

2.4 x 10⁸

b)

2.4 x 10⁰

c)

1.6 x 10⁰

d)

1.6 x 10⁸

84.

Write the answer in scientific notation.

4.1 x 10⁶ + 5.5 x 10⁶ =

a)

5.91 x 10⁶

b)

9.6 x 10⁶

c)

9.6 x 10¹²

d)

4.65 x 10⁵

85.

Multiply:
(3.4 x 10⁵)(1.2 x 10^-3)

a)

4.08 x 10^-2

b)

4.8 x 10²

c)

4.08 x 10²

d)

4.08 x 10^-15

86.

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

87.

Solve.
$\frac{8.8\times10^7}{2.2\times10^4}$

a)

$4\times10^3$

b)

$6.6\times10^3$

c)

$4\times10^{11}$

88.

Solve.

$\left(4.6\times10^7\right)-\left(6.1\times10^6\right)$

a)

$2.5\times10^7$

b)

$3.99\times10^6$

c)

$3.99\times10^7$

89.

$\left(8\ \cdot\ 10^3\right)\ +\ \left(5\ \cdot\ 10^2\right)$

a)

$8.5\ \cdot\ 10^3$

b)

$13\ \cdot\ 10^3$

c)

$1.3\ \cdot\ 10^2$

d)

$3\cdot\ 10^3$

90.

$\left(5\ \cdot\ 10^6\right)\ -\ \left(3\ \cdot\ 10^4\right)$

a)

$49.7\ \cdot\ 10^6$

b)

$4.97\ \cdot\ 10^{10}$

c)

$15\ \cdot\ 10^4$

d)

$4.97\ \cdot\ 10^6$

91.

Write in standard form: $2.95\ \cdot\ 10^4$

a)

295

b)

29,500

c)

0.000295

d)

29,000

92.

Is the graph linear, exponential, or neither?

a)

Linear

b)

Exponential

c)

Neither

93.

Is the graph linear, exponential, or neither?

a)

Linear

b)

Exponential

c)

Neither

94.

In an exponential function, what does the 'a' represent?

a)

Slope

b)

Rate of change

c)

Y-intercept

d)

Multiplier

95.

In an exponential function, what does the 'b' represent?

a)

Slope

b)

X-intercept

c)

Y-intercept

d)

Growth or decay factor

96.

Is the table linear, exponential, or neither?

a)

Linear

b)

Exponential

c)

Neither

97.

Is the table linear, exponential, or neither?

a)

Linear

b)

Exponential

c)

Neither

98.

Is the table linear, exponential, or neither?

a)

Linear

b)

Exponential

c)

Neither

99.

Write each product using an exponent.
7 x 7 x 7 x 7 x 7 x 7 x 7 x 7

a)

7⁷

b)

7⁸

c)

8⁷

d)

7⁹

100.

Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)^6

a)

Growth

b)

Decay

101.

What is 'a', the initial amount, for the function: f(x) = 300(1.16)^x?

a)

300

b)

1.16

c)

.16

d)

x

102.

A 78 gram sample of Uranium loses half of its mass each year. What is the exponential equation?

a)

y=78(0.5)^x

b)

y=78(1.5)^x

c)

y=78(2)^x

103.

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

a)

y=5000(0.7)^x

b)

y=30(5000)^x

c)

y=5000(1.3)^x

d)

y=5000x^x

104.

Is this exponential growth or decay?

a)

Growth

b)

Decay

c)

Linear

105.

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

a)

y = 15(35)^x

b)

y = 15(1.35)^x

c)

y = 15(0.35)^x

d)

y = 35(1.15)^x

106.

Is this exponential growth or decay?

a)

Growth

b)

Decay

107.

Suppose you deposit $3000 in a savings account that pays interest at an annual rate of 4%. If no other money is added or withdrawn from the account, how much will be in the account after 10 years?

a)

$3122.18

b)

$4440.73

c)

$4994.50

d)

$86,776.40

108.

Which graphs shows exponential growth?

a)

b)

c)

d)

109.

Which graphs shows exponential decay?

a)

b)

c)

d)

110.

Which graphs shows a positive linear slope?

a)

b)

c)

d)

111.

Which graphs shows a negative linear slope?

a)

b)

c)

d)

112.

Is the equation linear or exponential?

a)

Linear

b)

Exponential

113.

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

114.

What is the solution?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(2, 0)

115.

How many solutions will this system have?

a)

No solution

b)

One Solution

c)

I Don't Know

d)

Infinitely Many Solutions

116.

Solve the following system by graphing. What is the solution?

a)

(-4, 2)

b)

(4, 2)

c)

(2, -4)

d)

(2, 4)

117.

Solve the following system by substitution. What is the solution?

a)

(1, -2)

b)

(-2, 1)

c)

(-4, 1)

d)

(2, 1)

118.

Solve for x and y using any method we've learned!
y = 2x + 1
y = 4x - 1

a)

(1,3)

b)

(-1,-3)

c)

(-1,3)

d)

(3,1)

119.

Solve by elimination:
3x+7y=23

-3x-7y=-17

a)

No solution

b)

ARN

c)

(-3,3)

d)

(3,3)

120.

Solve by elimination:
4x+9y=28
-4x-y=-28

a)

(-7,0)

b)

(6,0)

c)

(-6,0)

d)

(7,0)

121.

Solve by graphing:
y=5x+3

y=-2x-4

a)

(2,-1)

b)

(-1,-2)

c)

(1,-2)

d)

(-2,-1)

122.

Nancy went to the grocery store. On Monday she purchased 4 apples and 6 bananas for a total of $13. On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50. Which system of equations represents the situation?

a)

4x + 6y = 3
13.5x - 13y = 6

b)

x + y = 4
x - y = 6

c)

4x + 6y = 13
3x + 7y = 13.5

d)

4x - 6y = 13
3x - 7y = 13.5

123.

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. How many nachos did he sell, and how many sodas did he sell?

a)

35 nachos, 52 sodas

b)

18 nachos, 69 sodas

c)

52 nachos, 35 sodas

d)

61 nachos, 26 sodas

124.

Which of the following is a solution to the systems of inequalities?

a)

(0, 0)

b)

(-3, 0)

c)

(2, -5)

d)

(3, -1)

125.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(-10, 20)

c)

(3, 5)

d)

(0, -2)

126.

Which system of linear inequalities is represented by the graph?

a)

y≤2x-1
y>-2x+3

b)

y>2x-1
y≤-2x+3

c)

y<2x-1
y≥-2x+3

d)

y≤2x-1
y>2x+3

127.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

128.

Which system of inequalities matches the graph?

a)

y > 2x - 4
y < 2

b)

y < 2x - 4
y < 2

c)

y > 2x - 4
y < 2

d)

y < 2x - 4
y < -2

129.

When graphing an inequality on the number line the OPEN circle means the number is______?

a)

Not included

b)

Included

130.

Greater than

a)

<

b)

>

c)

≤

d)

≥

131.

Less Than

a)

<

b)

>

c)

≤

d)

≥

132.

Less than or equal to

a)

<

b)

>

c)

≤

d)

≥

133.

Greater than or equal to

a)

<

b)

>

c)

≤

d)

≥

134.

a)

x is less than or equal to -2

b)

x < -2

c)

-2 < x

d)

x is greater than -2

135.

a)

x > 1

b)

1 ≥ x

c)

x is greater than or equal to 1

d)

x is less than or equal to 1

136.

Which graph represents the inequality 6 > x

a)

A

b)

B

c)

C

d)

D

137.

Use the graph to determine the solutions.

a)

-1 and -3

b)

1 and -3

c)

1 and 3

d)

-1 and 3

138.

Does y = -4x² have a maximum or minimum value?

a)

maximum

b)

minimum

139.

Does this graph have a maximum or minimum value?

a)

maximum

b)

minimum

c)

neither

d)

both

140.

What's the axis of symmetry of y=3x²-6x+4

a)

x=1

b)

x=-6

c)

x=2

d)

x=-1

141.

Does the equation open or or down?
Y = -3x² +7x - 2

a)

up

b)

down

142.

Determine the line of symmetry. y = x²+16x+64

a)

x=4

b)

x=2

c)

x=-8

d)

x=64

143.

The solutions of a quadratic equation are known as the _____.

a)

Vertices

b)

Roots

c)

Squares

d)

Formulas

144.

In the equation
y = x² +5x +7, match each leading coefficient with its correct letter

a)

a=0, b=5, c=7

b)

a=1, b=5, c=7

c)

a=7, b=5, c=1

145.

find x for
2x²-8x-24=0

a)

x= 6, -2

b)

x= 2, -6

c)

x= 4, 2

d)

x= 2, 6

146.

A line about which a figure is symmetric is the ____ __ ________

a)

Solution Set

b)

Intercept Formula

c)

Quadratic Function

d)

Axis of Symmetry

147.

What is the vertex of the graph?

a)

(2,4)

b)

(-2,-4)

c)

(4,2)

d)

(-4,-2)

148.

What are the coordinates of the y-intercept?

a)

(-3, 0)

b)

(0, -3)

c)

(2, 1)

d)

y=-3

149.

What is the equation for axis of symmetry?

a)

y=3

b)

x=3

c)

x=5

d)

x=1

150.

How many solutions does this graph have?

a)

one

b)

two

c)

no solutions

d)

cannot be determined

151.

How many solutions does this graph have?

a)

one

b)

two

c)

no solutions

d)

cannot be determined

152.

Name the vertex

a)

(1,1)

b)

(0,0)

153.

The axis of symmetry line passes through which point?

a)

y-intercept

b)

any random point

c)

vertex

d)

symmetrical point for the vertex

154.

2 (x + 4)

a)

2x + 4

b)

2x + 8

c)

2x + 6

d)

10x

155.

-3 (a + 3)

a)

3a - 9

b)

-3a + 9

c)

3a + 9

d)

-3a - 9

156.

9 (2x + 5x)

a)

90x

b)

18x + 45

c)

18 + 45x

d)

63x

157.

6x (x - 9)

a)

$6x^2\ -\ 54$

b)

$6x^2\ -\ 54x$

c)

$6x\ -\ 54x$

d)

$-48x$

158.

a)

x²+4x+8

b)

x²+8x+8

c)

x²+8x+6

d)

x²+6x+8

159.

a)

x²+11x+16

b)

x²+5x+24

c)

x²+11x+24

d)

2x²+11x+24

160.

a)

x²+x-20

b)

x²-x-20

c)

x²-9x-20

d)

x²-x+20

161.

a)

5x²+16x+8

b)

6x²+12x+8

c)

6x²+16x+6

d)

6x²+16x+8

162.

Factor
k²+7k+10

a)

(k+2)(k+5)

b)

(k-2)(k-5)

c)

(k+10)(k+4)

d)

(k+2)(k-5)

163.

Factor
3v² - 4v - 7

a)

(3v-7)(v+1)

b)

3(v-7)(v-1)

c)

(3v+1)(v-9)

d)

(3v+1)(v-10)

164.

factor: x²- 25

a)

( x + 5 ) ( x - 5 )

b)

( x - 5 ) ( x - 5 )

c)

( x + 5 ) ( x + 5 )

d)

Prime

165.

What type of function does this table represent?

a)

Quadratic

b)

Linear

c)

Neither

166.

What type of function does this table represent?

a)

Quadratic

b)

Linear

c)

Neither

167.

Which of the following is a binomial?

a)

3x

b)

3x+5

c)

$3x^2\ +\ 2x\ +\ 5$

168.

Which of the following is a monomial?

a)

3x

b)

3x+5

c)

$3x^2\ +\ 2x\ +\ 5$

169.

Which of the following is a trinomial?

a)

3x

b)

3x+5

c)

$3x^2\ +\ 2x\ +\ 5$

170.

Which of the following is a quadratic?

a)

3x

b)

3x+5

c)

$3x^2\ +\ 2x\ +\ 5$

171.

Given that the black line is y=x², describe the transformation of the blue line.

a)

shift up 3 units

b)

shift down 3 units

c)

shift right 3 units

d)

shift left 3 units

172.

Given that the black line is y=x², describe the transformation of the blue line.

a)

shift up 2 units

b)

shift down 2 units

c)

shift right 2 units

d)

shift left 2 units

173.

Given that the black line is y=x², describe the transformation of the blue line.

a)

shift up 4 units

b)

shift down 4 units

c)

shift right 4 units

d)

shift left 4 units

174.

Select the equation that:

-Opens Down
-Is more narrow than the parent function
-Has moved left 3 units
-Has moved down 4 units

a)

$y=-2\left(x+3\right)^2-4$

b)

$y=2\left(x+3\right)+4$

c)

$y=-2\left(x-3\right)^2-4$

175.

Select the equation that:

-Is wider than the parent function
-Has moved right 2 units
-Has moved up 3 units

a)

$y=\frac{1}{3}\left(x+2\right)^2-3$

b)

$y=\frac{1}{3}\left(x-2\right)^2+3$

c)

$y=3\left(x-2\right)^2-3$

176.

Select the equation that:

-Has moved left 7 units
-Has moved down 11 units

a)

$y=\left(x+7\right)^2+11$

b)

$y=-\left(x+7\right)^2+11$

c)

$y=\left(x+7\right)^2-11$

177.

Which function is the widest?

a)

A

b)

B

c)

C

178.

Which function is the most narrow?

a)

A

b)

B

c)

C

179.

If the blue is y=x^2,the red must be

a)

y=(x+3)²

b)

y=(x-3)²

c)

y=x²+3

d)

y=x²-2

180.

If the blue is y=x^2,then the red must be

a)

y=x²- 5

b)

y=x²+ 5

c)

y=(x - 5)²

d)

y=(x + 5)²

181.

What is this formula?

a)

This is the speed of light formula.

b)

This is the quadratic formula.

c)

This is the zero product property.

d)

This is scary.

182.

Identify the 'b' value: y = 16x² -8x -24

a)

16

b)

-8

c)

8

d)

-24

183.

Solve for x:
x + 8 = -3

a)

x = -5

b)

x = 5

c)

x = -11

d)

x = 11

184.

Solve for k:
6k = 30

a)

k = 36

b)

k = 24

c)

k = 180

d)

k = 5

185.

What is the first step to solve this equation:
-11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

186.

Solve:
-4x = 24

a)

20

b)

-20

c)

6

d)

-6

187.

Solve for x.

a)

x = 21

b)

x = 7

c)

x = −21

d)

x = 4

188.

6p - 5 =13

a)

12

b)

15

c)

3

d)

-3

189.

4x + 7 = 23

a)

x = 16

b)

x = 4

c)

x = 9

d)

x = 12

190.

How many minutes are in a year?

a)

I can't count that high.

b)

525,600min

c)

52,560min

d)

31,536,000min

191.

How many seconds are in 1 hour?

a)

3600

b)

60

c)

1

d)

360

192.

$\left|x+10\right|=11$

a)

3, -3

b)

4, -4

c)

1, -21

d)

0, -2

193.

$\left|-3x-6\right|=15$

a)

$-7$

b)

$-7,\ 3$

c)

$\frac{26}{3},\ -10$

d)

$-\frac{20}{3},\ 4$

194.

$\left|4+2x\right|-1=19$

a)

$-\frac{8}{7}$

b)

$8,\ -12$

c)

$no\ solution$

d)

$\frac{1}{5},\ -\frac{8}{5}$

195.

$10\left|2x-1\right|+9=59$

a)

$\frac{5}{3},\ 5$

b)

$-\frac{4}{5},\ 1$

c)

$\frac{12}{5},\ -2$

d)

$3,\ -2$

196.

Solve for x
| m - 2 | < 8

a)

9 > m > 8

b)

2 < m < -6

c)

-6 < m < 10

d)

0 > m < 0

197.

Solve for x
∣ -2x + 9 ∣ > 15

a)

x<-3 or x>12

b)

-3 < x < 12

c)

x<-3 and x>12

d)

-3 < x > 12

198.

Solve for x
| 6 - 2x | = -5

a)

11/2, 1/2

b)

-5, 5

c)

1, 3

d)

⊘ No solution

199.

What inequality is graphed?

a)

x > 2 and x ≤ -3

b)

x > 2 and x < -3

c)

x > 2 or x ≤ -3

d)

x > 2 or x < -3

200.

Which of these represents point-slope form of a linear equation?

a)

y - y₁ = m(x - x₁)

b)

Ax + By = C

c)

y = mx + b

201.

What is the equation of the line that goes through the points ( 3, - 1 ) and ( 2, - 4 )?

a)

y = 3x - 4

b)

y = - 3x + 8

c)

y = 3x - 1

d)

y = 3x - 10

202.

Write the equation of the line that passes through the points ( 0, - 5 ) and ( 4, 3 )

a)

y = 2x - 5

b)

y = 1/2x - 5

c)

y = 2x + 5

d)

y = 1/2x + 5

203.

For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?

a)

(-4, 3)

b)

(3, -4)

c)

(-3, -4)

d)

(-4, -3)

204.

Name the correlation in this graph

a)

Positive Correlation

b)

Negative Correlation

c)

No Correlation

d)

Lots of Correlation

205.

What type of correlation do the data here represent?

a)

positive

b)

negative

c)

no correlation

206.

What type of correlation does this graph show?

a)

Positive

b)

negative

c)

none

d)

all of the above

207.

What are the coordinates of the outlier?

a)

(3,4)

b)

(4,3)

c)

(3,10)

208.

A residual is the vertical distance between a data point and a line of fit.

a)

True

b)

False

209.

When we add up all the residuals and find that the sum is very close to zero, then that means our line of best fit closely resembles our data

a)

True

b)

False

210.

Is the sequence arithmetic: 37, 31, 25, 19, ...

a)

Yes

b)

No

211.

Is the sequence arithmetic: 78, 785, 7855, 78555, ...

a)

Yes

b)

No

212.

Find the common difference: -34, -29, -24, -19, ...

a)

d = -5

b)

d = 5

c)

d = -6

d)

d = 6

213.

Find the next three terms in the arithmetic sequence: -3, -8, -13, -18, ...

a)

-20, -24, -28

b)

-21, -25, -29

c)

-23, -28, -33

d)

-24, -29, -32

214.

What is g(7) if:

a)

-17

b)

-13

c)

13

d)

17

215.

Find f(2)

a)

f(2) = 0

b)

f(2) = 1

c)

f(2) = 3

d)

f(2) = 4

216.

$3x\ge18$

a)

$x\ge6$

b)

$x\ge-6$

c)

$x\le6$

d)

$x\le-6$

217.

$-3x\ge18$

a)

$x\ge6$

b)

$x\ge-6$

c)

$x\le6$

d)

$x\le-6$

218.

Pick the inequality for the graph.

a)

$x\ge1$

b)

$x>1$

c)

$x\le1$

d)

$x<1$

219.

Pick the inequality for the graph.

a)

$x\ge4$

b)

$x>4$

c)

$x<4$

d)

$x\le4$

220.

Which inequality when simplified matches the graph?

a)

2x + 4 > 12

b)

2x + 4 < 20

c)

2x - 4 > 12

d)

-2x + 4 < 8

221.

Complete the statement based on the word problem.

To ride the roller coaster you must be at least 52"

a)

$x\ <\ 52$

b)

$x\ >\ 52$

c)

$x\ \le52$

d)

$x\ \ge\ 52$

222.

Tell whether the given value is a solution to the inequality
y + 4 < 16 ; y = 13

a)

IS a solution

b)

IS NOT a solution

223.

You flip an inequality symbol when you...

a)

subtract

b)

multiply and divide only

c)

multiply by a negative number

d)

multiply or divide by a negative number

224.

Function or not a function?

{(0,3) (2,3) (4,3) (10,3)}

a)

Function

b)

Not a function

225.

Function or not a function?

{(-2,3) (-4,8) (3, 1) (-2,9)}

a)

Function

b)

Not a function

226.

Function or not a function?

a)

Function

b)

Not a function

227.

Function or not a function?

a)

Function

b)

Not a function

228.

Function or not a function?

a)

Function

b)

Not a function

229.

Is the mapping diagram a function?

a)

yes

b)

no

230.

Is the mapping diagram a function?

a)

yes

b)

no

231.

What is the domain of the graph?

a)

-3 ≤ x ≤ 3

b)

3 ≤ x ≤ -3

c)

-2 ≤ x ≤ 10

d)

-3 ≤ x ≤ 10

232.

Find the Range.

a)

All Real numbers

b)

0 < y < 11

c)

y ≥ 0

d)

y > 0

233.

What is the range of the function?

a)

[1, 5]

b)

(5, 4]

c)

[1, 4]

d)

(1, 5)

234.

What is the range of the function?

a)

(-∞, 3]

b)

(-∞, ∞)

c)

[3, ∞)

d)

(-6, 3]

235.

Is the following an increasing or decreasing function?

a)

increasing

b)

decreasing

236.

Identify where the function is decreasing.

a)

x < 0

b)

x > 0

c)

x < -3 , x > 3

d)

-3 < x < 3

237.

In the above graph complete the following end behavior:
As x --> -∞, f(x) --> ____
As x --> +∞, f(x) --> ____

a)

-∞
-∞

b)

+∞
-∞

c)

-∞
+∞

d)

+∞
+∞

238.

What type of slope?

a)

zero slope

b)

undefined

c)

negative

d)

positive

239.

What type of slope?

a)

positive

b)

negative

c)

zero

d)

undefined

240.

What is the equation of this line?

a)

0

b)

undefined

c)

y = -2

d)

x = -2

241.

What is the name of the parent function and equation for the graph?

a)

Rational - y = 1/x

b)

Absolute Value - y = |x|

c)

Linear - y = x

d)

Quadratic - y = x²

242.

What family does this equation belong to?

a)

Linear

b)

Absolute Value

c)

Cubic

d)

Quadratic

243.

a)

$y=\ \left|x\right|\ +\ 3$

b)

$y=\ \left|x\right|-\ 3$

c)

$y=\ \left|x+3\right|\$

d)

$y=\ \left|x-3\right|$

244.

$f\left(x\right)=\left|x+1\right|$

a)

Left 1

b)

Right 1

c)

Up 1

d)

Down 1

245.

Which represents the parent function shifted down two units?

a)

f(x) = -2x

b)

f(x) = x - 2

c)

f(x) = x + 2

d)

f(x) = 2x

246.

In the picture, what axis is the shape reflected over?

a)

x-axis

b)

y-axis

c)

both axes

247.

When you reflect over the x-axis, the _________ coordinate changes to it's opposite.

a)

x

b)

y

c)

both

248.

When you reflect over the y-axis, the _______ coordinate changes to it's opposite.

a)

x

b)

y

c)

both

249.

What is Point A (3, 5) reflected over the x-axis?

a)

A'(3, -5)

b)

A'(3, 5)

c)

A'(-3, 5)

d)

A'(-3, -5)

250.

What is the vertex of the absolute value function?

a)

(4, 0)

b)

(0, 4)

c)

(-infinity, infinity)

d)

[4, infinity)

8th Grade Math Final Exam Review

Total questions: 250

Worksheet time: 48hrs 12mins

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