Free Printable 8th grade End of the Year Math FEST!

1.

Overall, how did you feel about math this year?

a)

You are cruel to make me learn such a terrible subject

b)

Pretty good

c)

Alright

d)

Great!

2.

Let's start at the beginning. What do you remember about exponents?

4 lines

3.

Which number is the BASE?
2³= 8

a)

2

b)

3

c)

8

d)

not here

4.

What operation do you use with exponents?

a)

addition

b)

subtraction

c)

multiplication

d)

division

5.

What is the value of 100⁰?

a)

1

b)

0

c)

100

6.

What is the exponent form for
6?

a)

6⁰

b)

6¹

c)

6×1

d)

0

7.

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

8.

Which is greater, 2654⁰ or 5⁰?

a)

2654⁰

b)

5⁰

c)

They are the same

d)

Zero is greater

9.

(-5)³

a)

-15

b)

125

c)

-125

d)

-625

10.

Simplify to an equivalent expression BUT leave in exponent form. (use product rule)
4³⋅4⁵

a)

4⁸

b)

16⁸

c)

4¹⁵

d)

16¹⁵

11.

a)

x^1/2

b)

x³

c)

x²

d)

x^-2

12.

(2⁸)²

a)

2¹⁶

b)

2¹⁰

c)

2⁶

d)

2⁴

13.

Simplify (2m⁴)(5m²)

a)

10m⁶

b)

10m⁸

c)

7m⁶

d)

7m⁸

14.

Simplify the expression.
x⁴ (x¹²)

a)

x³

b)

x⁴⁸

c)

x¹⁶

d)

x⁸

15.

X²⋅ X³⋅ X⁴⋅ X

a)

x⁹

b)

x²⁴

c)

x¹⁰

d)

x²⁵

16.

Simplify the following expression:

(xyz)⁰ =

a)

0

b)

1

c)

xyz

d)

-1

17.

True or False:

a)

True

b)

False

18.

Evaluate using the quotient rule:

a)

a⁸b¹³

b)

a²b⁷

c)

a¹⁵b³⁰

19.

Simplify: $\frac{9h^6}{3h^3}$

a)

$3h^9$

b)

$3h^{3\ }$

c)

$3h^{18}$

d)

$h^{3\ }$

20.

$\left(\frac{x^5}{x^7}\right)^2$ Click on the play button if you need a hint.

a)

$x^4$

b)

$x^{24}$

c)

$x^{-4}$

d)

$x^5$

21.

Great! Now what is scientific notation?

4 lines

22.

Choose the number that is written in scientific notation.

a)

0.78 x 10^-2

b)

7.8 x 10³

c)

78.0 x 10^-4

d)

780 x 10⁵

23.

Which of these numbers is the smallest?

a)

3.5 x10⁷

b)

3 x10⁷

c)

5 x10⁷

d)

5.5 x10⁷

24.

Which of these numbers is the greatest?

a)

9 x 10⁹

b)

8.1 x10⁸

c)

9.02 x10⁹

d)

6.35 x10⁷

25.

Place the following numbers in order from least to greatest:

7.8 x 10⁶, 5.1 x 10⁴, 1.25 x 10⁵, 4.09 x 10⁴

a)

4.09 x 10⁴,

1.25 x 10⁵,

5.1 x 10⁴,

7.8 x 10⁶

b)

4.09 x 10⁴,

5.1 x 10⁴,

1.25 x 10⁵,

7.8 x 10⁶,

c)

1.25 x 10⁵,

4.09 x 10⁴,

5.1 x 10⁴,

7.8 x 10⁶,

26.

Change from standard form to scientific notation: 12,000,000

a)

12.0 x 10⁷

b)

0.12 x 10⁷

c)

1.2 x 10⁶

d)

1.2 x 10⁷

27.

Change from standard form to scientific notation: 0.000398

a)

39.8 x 10^-5

b)

3.98 x 10^-5

c)

3.98 x 10^-4

d)

39.8 x 10^-6

28.

Multiply:

\left(6\times10^3\right)\times\left(2\times10^{10}\right)

a)

$\left(6\times2\right)\times10^{\left(3+10\right)}$

b)

$\left(6+2\right)\times10^{\left(3+10\right)}$

c)

$\left(6\times2\right)\times10^{\left(3\times10\right)}$

d)

$\left(6+2\right)\times10^{\left(3\times10\right)}$

29.

Multiply:

\left(4\times10^5\right)\times\left(6\times10^1\right)

a)

$\left(4\times6\right)\times10^{\left(5\times1\right)}$

b)

$\left(4\times6\right)\times10^{\left(5+1\right)}$

30.

$\left(9.8\times10^3\right)+\left(1.07\times\times10^5\right)$

a)

$10.87\ \times\ 10^8$

b)

$1.087\times10^9$

c)

$2.15\times10^5$

d)

$1.168\times10^5$

31.

$\left(4.1\times10^5\right)+\left(5.5\times10^6\right)$

a)

5.91 x 10⁶

b)

9.6 x 10⁵

c)

9.6 x 10¹¹

d)

4.65 x 10⁵

32.

$\left(2\times10^3\right)-\left(1.9\times10^2\right)$

a)

$1.8\times10$

b)

$1.81\times10^3$

c)

$1.81\times10^5$

d)

$0.1\times10$

e)

$0.1\times10^3$

33.

$\left(8.0\times10^{13}\right)-\left(7.5\times10^{12}\right)$

a)

7.25 x 10¹³

b)

7.25 x 10¹²

c)

5.0 x 10¹²

d)

5.0 x 10¹³

34.

Alright! What do you know about proportional relationships?

4 lines

35.

Which line shows a proportional relationship between x and y?

a)

Line L

b)

Line M

36.

Which statement best describes the relationship between x and y in the table?

a)

Proportional

b)

Not Proportional

37.

What makes a graph proportional?

a)

Straight Line

b)

The line goes through (0,0)

c)

Curvy line

d)

Straight line and passes through (0,0)

38.

Jeff ran 6 miles in 4 hours. At this rate, how many miles will he run in 6 hours?

a)

9 miles

b)

4 miles

c)

6 miles

d)

36 miles

39.

In the equation y = 14x, what is the constant of proportionality?

a)

y

b)

x

c)

14

d)

y=14

40.

Is the graph proportional or non-proportional?

a)

Proportional

b)

Non-Proportional

41.

What is the constant of proportionality?

a)

8

b)

16

c)

24

d)

2

42.

Now are you ready to solve some equations?!?!

a)

Oh goodness no (but I know I have to)

b)

YES!

43.

x + 12 = 20

a)

x = 32

b)

x = -32

c)

x = 8

d)

x = -8

44.

Solve the equation:
x - 5.5 = 10.5

a)

x = 16

b)

x = -15

c)

x = 5

d)

x = -5

45.

x - (-1) = 11

a)

x = 10

b)

x = 12

c)

x = -10

d)

x = 11

46.

3c + 5 = 23

(a)

47.

15 = 2a + 7

a)

2

b)

4

c)

12

d)

14

48.

Solve for w:
-6w + 1 = -11

a)

2

b)

1.2

c)

12

d)

-2

49.

Solve: 4( x + 2) = 16

a)

-2

b)

0

c)

1

d)

2

50.

Solve: -3 ( f - 8 ) = 39

a)

-21

b)

-10.3

c)

-5

d)

5

51.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

52.

Now let's look at systems of equations

a)

I equate this system to being the worst

b)

Okay

c)

Why is this even an option?

53.

-4x-2y=-12
4x+8y=-24

a)

(5,6)

b)

(6,-6)

c)

(6,-2)

d)

(4,-3)

54.

What is the solution?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(0, 1)

55.

Solve for x and y
y = 2x + 1
y = 4x - 1

a)

(1,3)

b)

(-1,-3)

c)

(-1,3)

d)

(3,1)

56.

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes. Which system of equations represents the situation?

a)

3x + 2y = 315
2x + 4y = 450

b)

3x + 2y = 450
2x + 4y = 315

c)

2x + 2y = 315
3x + 4y = 450

57.

Give the solution to the system.

a)

(3,1)

b)

(1,3)

c)

(-1,3)

d)

(1, -3)

58.

How many solutions?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

59.

Function Time!

a)

The x is always faithful

b)

Each input has one output

c)

I remember these!

60.

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

61.

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.

62.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

63.

Is this table a function or not a function?

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.

f(x)=2x+1
If f(x)=4, what is the value of x?

a)

3/2

b)

2

c)

1/2

d)

4

68.

All of the y values or outputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

69.

Which of these is NOT the same

a)

Range

b)

Input

c)

Dependent Value

d)

Y-Value

70.

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

a)

D: {1, -3, -4,}
R: {0, 1, 2, -4}

b)

D:{0, 1, 2, -4}
R:{1, -3, -4}

c)

D:{0, 1, 2, 3, 4}
R:{1, -3, -4}

71.

What is the range of the following relation:
(9, -2) (4, 3) ( 8, 10) ( -4, 8)

a)

-4, 4, 8, 9

b)

-2, 3, 8, 10

c)

(9, -2) ( 4, 3)

d)

(8, 10) (-4, 8)

72.

What do you remember about y=mx + b?

4 lines

73.

What type of slope does the graph have?

a)

Zero

b)

Undefined

c)

Negative

d)

Positive

74.

Find the slope of the line.

a)

-5/4

b)

5/4

c)

-4/5

d)

4/5

75.

Find the slope

a)

-5/7

b)

7/5

c)

-7/5

d)

5/7

76.

What is the slope in the equation y=2x + 3?

a)

2

b)

3

c)

5

d)

Cannot be Determined

77.

Determine the slope and y-intercept. y = 3/2x + 3

a)

slope: 5 y-intercept: (0,3)

b)

slope: 3/2 y-intercept: (0,3)

c)

slope: 4 y-intercept: (0,3/2)

d)

slope: 1/5 y-intercept: (0,5)

78.

How would you write the equation with a slope of 2/3 and a y-intercept of -3

a)

y=3/2x+3

b)

y=2/3-3

c)

y=2/3x-3

d)

y=2/3x+3

79.

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

80.

What is the equation of this line?

a)

y = 2x +2

b)

y = 2x -2

c)

y = -x + 2

d)

Cannot be Determined

81.

Write the equation of the line.

a)

y = -1/3x - 2

b)

y = 1/3x - 2

c)

y = 3x - 2

d)

y = -3x - 2

82.

Write the equation of the line.

a)

y = -2/3x + 4

b)

y = 2/3x + 4

c)

y = 3/2x + 4

d)

y = -3/2x + 4

83.

Now we go into transformations!

a)

Rotations, reflections, translations oh my!

b)

Reflections, rotations, translations, oh my!

84.

Triangle ABC is going to be translated. How is ABC being translated if the rule (x,y) --> (x+3, y-2) is used?

a)

3 up and 2 left

b)

3 right and 2 down

c)

3 left and 2 up

d)

3 right and 2 up

85.

Which answer represents a reflection across the x-axis, using the algebraic rule (x,y) --> (x, -y)?

a)

d

b)

c

c)

b

d)

a

86.

Identify the transformation from ABC to A'B'C'.

a)

90^o clockwise rotation

b)

90^o counter clockwise rotation

c)

Reflection across the y-axis

d)

Reflection across the x-axis

87.

a transformation that changes the size of a figure, but not the shape

a)

translation

b)

rotation

c)

reflection

d)

dilation

88.

Identify the transformation from ABCD to A'B'C'D'.

a)

Translation

b)

Reflection across the x-axis

c)

Reflection across the y-axis

d)

90^o counter clockwise rotation

89.

When you translate
(x-2 , y + 6) the figure will move _____.

a)

2 units right and 6 units right

b)

2 units left and 6 units down

c)

2 units left and 6 units up

d)

2 units left 6 units right

90.

How do you represent a translation Algebraically?

a)

(-y, -x)

b)

(x + a, y + b)

c)

(-x , -y)

d)

(ax, by)

91.

What does a translation do to an image?

a)

Turns it 90* clockwise

b)

Mirrors it

c)

Shrinks it

d)

Slides it

92.

Which rule would result in a reflection in the x-axis?

a)

(x, y) → (2x, 2y)

b)

x, y) → (x + 4, y + 4)

c)

(x, y) → (y, -x)

d)

(x, y) → (x, -y)

93.

What type of transformation is quadrilateral PQRS?

a)

Translation 4 units right

b)

Rotation around the origin

c)

Reflection over the x-axis

d)

Reflection over the y-axis

94.

When you translate,
(x - 4, y + 3) the figure will move _____.

a)

4 units left and 3 units right

b)

4 units left and 3 units up

c)

4 units down and 3 units up

d)

4 units down and 3 units down

95.

How is triangle ABC being translated to triangle A'B'C'?

a)

(x, y) --> (x - 8, y + 3 )

b)

(x, y) -->(x - 4, y - 9)

c)

(x, y) --> (x + 8, y - 3)

d)

(x, y) --> (x+ 4, y - 9)

96.

What transformation is happening to the red triangle to get to the blue triangle?

a)

Translation

b)

Rotation

c)

Reflection

d)

Dilation

97.

Determine where T' would be if you translated T three units to the right and six units up.

a)

(5, 1)

b)

(2, -5)

c)

(-1, 1)

d)

(8, -2)

98.

Determine where X' would be if you translated X three units to the left and nine units down.

a)

(-4, 4)

b)

(-10, 2)

c)

(-4, -5)

d)

(-1, 5)

99.

Now is time for some pythagorean theorem!

a)

Right!

b)

Left!

c)

Acute!

d)

Obtuse!

100.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

101.

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

102.

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

103.

What is the longest side of a right triangle called?

a)

Leg A

b)

Leg B

c)

Hypotenuse

d)

Pythagoras' Big Buddy

104.

_{^{Find the missing side}}

a)

36

b)

76.8

c)

12

d)

40

105.

_{^{Find the missing side}}

a)

29.2

b)

20

c)

400

d)

10

106.

Determine if the following set of numbers are Pythagorean Triples.
15, 20, 25

a)

Yes

b)

No

107.

Determine if the following set of numbers are Pythagorean Triples.
18, 73, 75

a)

Yes

b)

No

108.

If 36 and 48 are the two smaller numbers in a Pythagorean Triple, what is the third number?

a)

45

b)

50

c)

55

d)

60

109.

Does the set of numbers represent a Pythagorean Triple.
15, 20, 25

a)

Yes

b)

No

110.

Side c on a right triangle is ALWAYS the longest.

a)

true

b)

false

111.

Find h

a)

35.60

b)

35.00

c)

35.71

d)

61.03

112.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

113.

_{^{Find the missing side}}

a)

36

b)

76.8

c)

12

d)

40

114.

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

115.

Now that's what I call volume!

a)

Cone, sphere, and cylinder edition

b)

Turn up the volume

c)

volUME must be crazy

d)

This is only an option because I like things to have a 25% chance of being selected

116.

How do you find the volume of a cylinder?

a)

V= ^1/₃πr²h

b)

V= ^4/₃πr²h

c)

V= ^4/₃πr³

d)

V= πr²h

117.

How do you find the volume of a cone?

a)

V= ^1/₃πr²h

b)

V= ^4/₃πr²h

c)

V= ^4/₃πr³

d)

V= πr²h

118.

How do you find the volume of a sphere?

a)

V= ^1/₃πr²h

b)

V= ^4/₃πr²h

c)

V= ^4/₃πr³

d)

V= πr²h

119.

A table tennis ball has a diameter of 40 mm. What is the approximate volume of the table tennis ball in cubic millimeters?

a)

1,676 mm³

b)

18,850 mm³

c)

33,510.3 mm³

d)

268,083 mm³

120.

The dimensions of grain storage bins in the shape of a cylinder and a rectangular prism are shown. Which measurement is closest to the difference between the volumes of the 2 bins?

a)

24,280 cubic feet

b)

16,430 cubic feet

c)

11,720 cubic feet

d)

4,480 cubic feet

121.

A rancher wants to cut a metal cylinder in half to use as a watering trough as shown.
If the cylinder has a diameter of 5 feet and a length of 9 feet, which value is closest to the volume of the trough in cubic feet? Use π = 3.14.

a)

176.6 ft³

b)

141.3 ft³

c)

88.3 ft³

d)

70.7 ft³

122.

Last, but not least, scatter plots!

a)

Groovy

b)

Cool beans

c)

Right on

123.

The graph above shows a line of best fit for data collected on the distance bicyclists have remaining in relation to the amount of time they have been riding. What is the equation of the line of best fit?

a)

y = -25x + 170

b)

y = 25x + 170

c)

y = -(5/8) x + 170

d)

y = (5/8) x + 170

124.

The graph above shows a line of best fit for data collected on the amount earned by waiters and waitresses last week in relation to the number of tables they served. What is the equation of the line of best fit?

a)

y = (5/3) x + 375

b)

y = (1/3) x + 475

c)

y = (5/3) x + 475

d)

y = (1/3) x + 375

125.

A small theme park is trying to determine the number of guests they should expect on a weekend, based on the temperature outside. Based on the trend line, about how many guests should be expected if the temperature is around 80°?

a)

8,300

b)

8

c)

7,300

d)

9,300

126.

A group of students did an experiment to see how drinking cups of coffee right before bed affected sleep. The results are shown below in the scatter plot with a line of best fit. Use the given line of best fit to approximate the rate of change relative to the scatter plot.

a)

(7/5) hours/cup

b)

(5/7) hours/cup

c)

- (7/5) hours/cup

d)

- (5/7) hours/cup

127.

Looking at the graph, what is the correlation between the x and y variables?

a)

y increases as x increases

b)

y is constant

c)

y decreases as x descreases

d)

y decreases as x increases

128.

Looking at the graph showing a line of best fit, what is the correlation shown?

a)

Length of life is constant

b)

Length of life increases as amount of sunlight increases

c)

Length of life increases as amount of sunlight decreases

d)

Length of life decreases as amount of sunlight increases

129.

What type of association does this graph have?

a)

positive

b)

negative

c)

none

d)

all of the above

130.

What is the correlation?

a)

Negative correlation

b)

No correlation

c)

Positive correlation

d)

All of the above

131.

As the age of the car increases, its value decreases. Which scatterplot represents this relationship?

a)

A

b)

B

c)

C

d)

D

132.

What is a scatter plot?

a)

A graph that shows the relationship of two data sets.

b)

A graph drawn using rectangular bars to show how large each value is.

c)

A graph that shows information that is connected in some way.

d)

A graph that shows data changing over time.

133.

You are analyzing a scatter plot that has a negative correlation. What is true of the of the x and y values?

a)

As x increases, y decreases

b)

As x increases, y increases

c)

As x decreases, y decreases

134.

What is the correlation between length of running start and distance of jump?

a)

positive: the further you run the further you jump

b)

negative: the less you run the less distance of your jump

c)

positive: the further your running start the less your distance

135.

Which of the following lines represents the line of best fit for the scatter plot?

a)

A

b)

B

c)

C

d)

D

136.

What the y-intercept for the line of best fit for the scatter plot?

a)

35

b)

50

c)

30

d)

20

137.

_________________ correlation is when one set of data increases and the other set of data also increases.

a)

Positive

b)

Negative

c)

No

138.

_________________ correlation is when one set of data increases and the other set of data decreases.

a)

Positive

b)

Negative

c)

No

139.

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

140.

Which sentence describes the relationship shown on this scatter plot?

a)

The more time spent training, the longer it takes to run 100 m.

b)

As the time spent training increases, the time to run 100 m decreases.

c)

As the time spent training decreases, the time to run 100 m decreases.

141.

The scatter plot below shows the number of books read by students in Mrs. Hall’s English class and their final grades. Which statement represents the best description about the line of best fit?

a)

The more books students read, the lower their English grade.

b)

The more books students read, the higher their English grade.

c)

The fewer books students read, the higher their English grade.

d)

No relationship exists between the number of books students read and their English grades.

142.

the slope is -5/7, what does that mean?

a)

gain 5 hour of sleep for 7 cups of coffee

b)

lose 5 hours of sleep for 7 cups of coffee

c)

lose 7 cups of coffee for 5 hours of sleep

d)

lose 5 cups of coffee for 7 hours of sleep

143.

Alright, you've reached the end. How do you feel?

4 lines

144.

Just kidding, we have to talk about rational and irrational numbers.

a)

How rude!

b)

This quizizz is making me irrationally angry

c)

FINE

145.

What is a rational number ?

a)

A rational number is a number that cannot be written as a fraction.

b)

A rational number is a number that can be written as a ratio.

c)

A rational number cannot be a repeating decimal.

146.

What type of number is π ?

a)

Rational

b)

Irrational

147.

Which number is irrational?

a)

9.6

b)

√45

c)

3/8

d)

3.4 x 10 ⁵

148.

which number is a rational number ?

a)

1/4

b)

π

c)

√3

149.

√7

a)

Rational

b)

Irrational

150.

√25

a)

Rational

b)

Irrational

151.

-17.5

a)

Rational

b)

Irrational

152.

.141414141414...

a)

Rational

b)

Irrational

153.

An irrational number don´t have a pattern?

a)

true

b)

fales

154.

√3

a)

rational

b)

irrational

155.

Now we are done for real

a)

Thank goodness

b)

Finally

c)

I learned something this year!

8th grade End of the Year Math FEST!

Total questions: 155

Worksheet time: 12hrs 15mins

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