Free Printable 8 HW 53+ALLFIAB MON

1.

-2 x 3 x -1

2.

Congruent = same shape & same size

Similar = same shape BUT sides are proportional. They may or may not be same size.

Translation = simply moving a shape from one spot to another, like sliding it to a different position.

Rotation = Turning or twisting.

Reflection = mirror image.

Dilation = Changes the size of an object.

a)

a translation 3 units to the left.

b)

a dilation by a factor of 3

c)

a reflection across the x axis

d)

a rotation of 180 degrees

3.

Congruent = same shape & same size

Similar = same shape BUT sides are proportional. They may or may not be same size.

Translation = simply moving a shape from one spot to another, like sliding it to a different position.

Rotation = Turning or twisting.

Reflection = mirror image.

Dilation = Changes the size of an object.

a)

a rotation of 180 degrees around point (0,3)

b)

a rotation of 180 degrees around point (0,6)

c)

a reflection across the x axis

d)

a reflection across the y axis

4.

Match the corresponding sides.

a)

MN

1.

s

b)

NO

2.

t

c)

OP

3.

u

d)

PM

4.

r

5.

Congruent = same shape & same size

Similar = same shape BUT sides are proportional. They may or may not be same size.

Translation = simply moving a shape from one spot to another, like sliding it to a different position.

Rotation = Turning or twisting.

Reflection = mirror image.

Dilation = Changes the size of an object.

Categorize the following

Side A'B' is longer than side AB

Triangle A'B'C' and triangle ABC are similar but not congruent

Triangle ABC and triangle A'B'C' are similar AND congruent

True

False

6.

Congruent = same shape & same size

Similar = same shape BUT sides are proportional. They may or may not be same size.

Translation = simply moving a shape from one spot to another, like sliding it to a different position.

Rotation = Turning or twisting.

Reflection = mirror image.

Dilation = Changes the size of an object.

Categorize the following

Triangle ABC is reflected across the y axis, followed by a translation 9 units down

Triangle ABC is translated 9 units to the left, followed by a translation of 9 units down

Triangle ABC is translated 9 units down, followed by a translation of 9 units left

True

False

7.

All 8th grade students at a school answered Yes or No to the two survey questions:

Have you ridden on a city bus in the last year?

Have you taken a taxi in the last year?

The same students responded to both questions. Complete the two-way frequency table by dragging the correct answers where they belong.

a)

120

b)

400

c)

275

d)

95

1

2

3

4

1)

2)

3)

4)

8.

The scatter plot shows the relationship between the number of oil changes a car has per year and the average engine repair costs in a year for a sample population.

The y-intercept of the estimated line of best fit is at the point ( 0, b ). Enter the approximate value of b.

Remember: y-intercept is where the line crosses the y axis.

9.

The scatter plot shows the relationship between the number of oil changes a car has per year and the average engine repair costs in a year for a sample population.

What is the slope of the line of best fit? Use the fraction button.

Remember: Slope = Rise/Run

10.

The scatter plot shows the relationship between the length and width of a certain type of flower pedal.

What is the slope of the line of best fit? Use the fraction button.

Remember: Slope = Rise/Run

11.

The scatter plot shows the relationship between the length and width of a certain type of flower pedal.

The y-intercept of the estimated line of best fit is at the point ( 0, b ). Enter the approximate value of b.

Remember: y-intercept is where the line crosses the y axis.

12.

The scatter plot shows the relationship between the wing length of a certain bird and the age of the bird.

The y-intercept of the estimated line of best fit is at the point ( 0, b ). Enter the approximate value of b.

Remember: y-intercept is where the line crosses the y axis.

a)

0

b)

1.9

c)

4

d)

6

13.

The scatter plot shows the relationship between the wing length of a certain bird and the age of the bird.

What is the slope of the line of best fit?

Remember: y-intercept is where the line crosses the y axis.

a)

1/3

b)

6/2

c)

-3/1

d)

2/18

14.

?

15.

?

16.

Solve this multi-step equation.

Remember:

1) Distributive Property if its there

2) Combine like terms

3) Isolate the variable by doing inverse operations

4) What you do to one side, do to the other

17.

Solve this multi-step equation.

Remember:

1) Distributive Property if its there

2) Combine like terms

3) Isolate the variable by doing inverse operations

4) What you do to one side, do to the other

18.

You are the teacher for this problem. You are grading Emma and Luis' problem.

Remember:

1) Distributive Property if its there

2) Combine like terms

3) Isolate the variable by doing inverse operations

4) What you do to one side, do to the other

a)

Only Luis' steps are correct

b)

Only Emma's steps are correct

c)

Neither set of steps is correct

d)

Both set of steps is correct

19.

You just finished answering an equation problem. Match the answer with the correct number of solutions.

a)

a = a

-4 = -4

1.

Infinite Solutions

b)

a = b

12 = 31

2.

No solution

c)

x = a

x = 5

3.

One solution

20.

Organize these options into the right categories

Categorize the following

The sales of shoes remained the same between week 1 and week 2

The sales of shoes increased between week 3 and 4

The sales of shoes decreased between week 4 and 5

True

False

21.

Paolo is an artist who draws comic strip panels. For each customer, he determines his total price, in dollars, based on the total number of comic strip panels the customer orders. He uses the graph shown to determine the total price.

For each quantity described, indicate whether its value is less than 10, or greater than 10.

Categorize the following

The number of panels a customer can get for $100

The cost in dollars to get a single panel

The average cost per panel (in dollars) when a customer orders 4 panels

Less Than 10

Greater than 10

22.

Plug in the values of each coordinate point (x,y) to see if it makes a true equation. If the equation is false, then the point does not satisfy the function. If the equation is true, then the point does satisfy the function. There is more than one point that satisfies the function.

a)

( -1, -1 )

b)

( 2, 11 )

c)

( 4, 7 )

d)

( 7, 1 )

23.

Plug in the values of each coordinate point (x,y) to see if it makes a true equation. If the equation is false, then the point does not satisfy the function. If the equation is true, then the point does satisfy the function. There is more than one point that satisfies the function.

a)

( -3, -1 )

b)

(-2, -1 )

c)

( 3, 3 )

d)

( 5, 6 )

24.

Which statement below is true?

a)

The slope of the graph is 2

b)

The y-intercept of the graph is 0

c)

The slope of the graph is negative

d)

The y-intercept of the graph is 1/2.

25.

The graph shows a proportional relationship between the number of pages Sally reads and the time it takes in minutes.

Which statement identifies the correct slope AND the correct interpretation of the slope for this situation?

Remember: Slope = rise/run

a)

The slope of the line is 1/2. So Sally reads 0.5 pages every minute.

b)

The slope of the line is 1/2. So Sally reads 2 pages every minute.

c)

The slope of the line is 2/1. So Sally reads 0.5 pages every minute.

d)

The slope of the line is 2/1. So Sally reads 2 pages every minute.

26.

From the location defined by completing step 2, how many units up is line t?

27.

The ordered pair ( 6, y ) is on line AC. Enter the value of y in this ordered pair.

28.

Enter the equation of the line in the form of y = (m)x + (b) where m is the slope and b is the y-intercept.

Remember: slope = rise/run

a)

y = 2x + 3

b)

y = 1/2 x + 7

c)

y = 3x - 2

d)

y = 4x - 5

29.

Enter the equation of the line in the form of y = (m)x where m is the slope.

Remember: slope = rise/run

a)

y = 2x

b)

y = 1/2 x

c)

y = 3x

d)

y = 4x

30.

Remember:

.1111111 = 1/9

.22222 = 2/9

.55555 = 5/9

31.

Determine for each number whether it is rational or irrational.

Rational numbers CAN be written as fractions.

Irrational numbers CANNOT be written as fractions.

Remember: Anything with pi in it is irrational.

Anything with an imperfect square root is also irrational.

Categorize the following

Rational

Irrational

32.

?

a)

7

b)

8

c)

25

d)

26

33.

?

a)

About 4.5

b)

About 2.5

c)

About 7.5

d)

About 9.5

34.

?

a)

Between 6.6 and 6.8

b)

Between 11.1 and 11.3

c)

Between 21.9 and 22.1

d)

Between 33.7 and 33.9

35.

Organize these options into the right categories

Categorize the following

True

False

36.

What is the volume of this rectangular prism?

37.

What is the volume of this rectangular prism?

38.

Use the formulas provided to find the volume of this cylinder. Use the pi button on the Google calculator. Round off to the nearest hundredth.

39.

Use the formulas provided to find the volume of this cylinder. Use the pi button on the Google calculator. Round off to the nearest hundredth.

40.

Use the formulas provided to find the volume of this cylinder. Use the pi button on the Google calculator. Round off to the nearest hundredth.

41.

What is the Total Surface Area of the box?

Remember: Perimeter of bottom x height

Plus the Area of the bottom

Plus the Area of the top

42.

Organize these angles into the right categories.

HINT: Supplementary means that they add up to 180.

Categorize the following

Angle 4

Angle 5

Angle 2

Angle 7

Same as angle 1

Supplementary to angle 1

43.

Triangle DEF is translated down 9 units and then reflected across the y axis to form Triangle xyz. Match the sides that are equal in length to each other.

a)

DE

1.

y

b)

DF

2.

z

c)

EF

3.

x

44.

Triangle GHI is rotated 90 degrees colock-wise and then reflected across the y axis to form Triangle xyz. Match the sides that are equal in length to each other.

a)

GI

1.

y

b)

IH

2.

z

c)

GH

3.

x

45.

HINT: Draw the original parallelogram. Remember that the only thing that changes the size of a shape is dilation.

46.

Solve the following system:

2x + y = 2

5x - 3y = -6

a)

No solution

b)

Infinite Solutions

c)

1 Solution at (0,2)

d)

1 Solution at (2,0)

47.

Solve the following system:

2x + y = 2

y = -2x - 6

a)

No solution

b)

Infinite Solutions

c)

1 Solution at (5,-8)

d)

1 Solution at (3,1)

48.

Solve the following system:

x + y = 4

2y = -2x + 8

a)

No solution

b)

Infinite Solutions

c)

1 Solution at (4,2)

d)

1 Solution at (-5,7)

49.

Organize these options into the right categories

Categorize the following

Two intersecting lines

x = a

x = 9

$x\ =\ \frac{0}{12}$

4 = 17

a = b

$x\ =\ \frac{5}{0}$

parallel lines

two lines on top of each other, forming the same identical line.

$x\ =\ \frac{0}{0}$

15=15

a=a

1 Solution

No Solution

Infinite Solutions

50.

Peter is solving the linear equation 7x - 5 + 5x = 15x - 7 - 3x + 2. His final two steps are:

12x - 5 = 12x - 5

Select the statement that is true.

a)

b)

c)

d)

51.

Organize these options into the right categories.

Simplify each expression first, then select what kind of solution it will have.

Categorize the following

5x+24=5(x+5)

12p-7=-3p+8

3x+20=5x

3(x+2)=3x+6

1 Solution

No Solution

Infinite Solutions

52.

HINT: y = mx + b

m is mountain slope... rise/run

change in y/ change in x

b is beginning... y intercept of the line.

a)

b)

c)

d)

53.

HINT: y = mx + b

m is mountain slope... rise/run

change in y/ change in x

b is beginning... y intercept of the line.

a)

y = -2x + 2

b)

y = 2x - 2

c)

y = 1/2x - 2

d)

y = x - 2

54.

HINT: y = mx + b

m is mountain slope... rise/run

change in y/ change in x

b is beginning... y intercept of the line.

a)

b)

c)

d)

55.

HINT: y = mx + b

m is mountain slope... rise/run

change in y/ change in x

b is beginning... y intercept of the line.

a)

b)

c)

d)

56.

HINT: y = mx + b

m is mountain slope... rise/run

change in y/ change in x

b is beginning... y intercept of the line.

a)

y = 2x + 2

b)

y = 3x + 8

c)

y = 6x + 14

d)

y = x + 3

57.

HINT: y = mx + b

m is mountain slope... rise/run

change in y/ change in x

b is beginning... y intercept of the line.

a)

y = -3/2x

b)

y = 3x + 3

c)

y = 6x + 0

d)

y = x + 0

58.

HINT: y = mx + b

m is mountain slope... rise/run

change in y/ change in x

b is beginning... y intercept of the line.

a)

y = 3/2x - 2

b)

y = 3x + 2

c)

y = 2x + 3

d)

y = x - 2

59.

Organize these options into the right categories

Categorize the following

True

False

60.

HINT: Pi has a value approximately equal to 3.14

a)

b)

c)

d)

61.

?

a)

b)

c)

d)

62.

Use the pi button on your calculator.

Find the Volume.

Volume of Cylinder = $r^2\pi\ h$

Round your answer to the nearest hundredth.

63.

IF THE HEIGHT IS 10, WHAT IS VOLUME?

Use the pi button on your calculator.

Volume of Cylinder = $r^2\pi\ h$

Round your answer to the nearest hundredth.

64.

IF THE VOLUME IS 290, THEN WHAT IS HEIGHT?

Use the pi button on your calculator.

Volume of Cylinder = $r^2\pi\ h$

Round your answer to the nearest hundredth.

65.

Use the pi button on your calculator.

Find the Volume.

Volume of CONE = $r^2\pi\ h\ \ \div\ \ 3$

Round your answer to the nearest hundredth.

66.

Use the pi button on your calculator.

Find the Volume.

Volume of CONE = $r^2\pi\ h\ \ \div\ \ 3$

Round your answer to the nearest hundredth.

67.

Use the pi button on your calculator.

Find the Volume.

Volume of CONE = $r^2\pi\ h\ \ \div\ \ 3$

Round your answer to the nearest hundredth.

68.

Find the length x length

Find the width x width

Find the height x height

Add them all up.

Take the square root of your answer.

69.

Find the length x length

Find the width x width

Find the height x height

Add them all up.

Take the square root of your answer.

70.

$\sqrt[3]{8}$

71.

$\sqrt[3]{27}$

72.

$\sqrt[3]{64}$

73.

$\sqrt[3]{125}$

74.

$\sqrt[3]{216}$

75.

$\sqrt[3]{343}$

76.

$\sqrt[3]{512}$

77.

$\sqrt[3]{729}$

78.

$\sqrt[3]{1000}$

79.

$13^2$

80.

$14^2$

81.

$15^2$

82.

Congruent = same shape & same size

Similar = same shape BUT sides are proportional. They may or may not be same size.

Translation = simply moving a shape from one spot to another, like sliding it to a different position.

Rotation = Turning or twisting.

Reflection = mirror image.

Dilation = Changes the size of an object.

a)

a translation 3 units to the left.

b)

a dilation by a factor of 3

c)

a reflection across the x axis

d)

a rotation of 180 degrees

83.

Congruent = same shape & same size

Similar = same shape BUT sides are proportional. They may or may not be same size.

Translation = simply moving a shape from one spot to another, like sliding it to a different position.

Rotation = Turning or twisting.

Reflection = mirror image.

Dilation = Changes the size of an object.

a)

a rotation of 180 degrees around point (0,3)

b)

a rotation of 180 degrees around point (0,6)

c)

a reflection across the x axis

d)

a reflection across the y axis

84.

Match the corresponding sides.

a)

MN

1.

s

b)

NO

2.

t

c)

OP

3.

u

d)

PM

4.

r

85.

All 8th grade students at a school answered Yes or No to the two survey questions:

Have you ridden on a city bus in the last year?

Have you taken a taxi in the last year?

The same students responded to both questions. Complete the two-way frequency table by dragging the correct answers where they belong.

a)

120

b)

400

c)

275

d)

95

1

2

3

4

1)

2)

3)

4)

86.

The scatter plot shows the relationship between the number of oil changes a car has per year and the average engine repair costs in a year for a sample population.

The y-intercept of the estimated line of best fit is at the point ( 0, b ). Enter the approximate value of b.

Remember: y-intercept is where the line crosses the y axis.

87.

The scatter plot shows the relationship between the number of oil changes a car has per year and the average engine repair costs in a year for a sample population.

What is the slope of the line of best fit? Use the fraction button.

Remember: Slope = Rise/Run

88.

The scatter plot shows the relationship between the length and width of a certain type of flower pedal.

What is the slope of the line of best fit? Use the fraction button.

Remember: Slope = Rise/Run

89.

The scatter plot shows the relationship between the length and width of a certain type of flower pedal.

The y-intercept of the estimated line of best fit is at the point ( 0, b ). Enter the approximate value of b.

Remember: y-intercept is where the line crosses the y axis.

90.

Solve this multi-step equation.

Remember:

1) Distributive Property if its there

2) Combine like terms

3) Isolate the variable by doing inverse operations

4) What you do to one side, do to the other

91.

Solve this multi-step equation.

Remember:

1) Distributive Property if its there

2) Combine like terms

3) Isolate the variable by doing inverse operations

4) What you do to one side, do to the other

92.

You just finished answering an equation problem. Match the answer with the correct number of solutions.

a)

a = a

-4 = -4

1.

Infinite Solutions

b)

a = b

12 = 31

2.

No solution

c)

x = a

x = 5

3.

One solution

93.

Plug in the values of each coordinate point (x,y) to see if it makes a true equation. If the equation is false, then the point does not satisfy the function. If the equation is true, then the point does satisfy the function. There is more than one point that satisfies the function.

a)

( -1, -1 )

b)

( 2, 11 )

c)

( 4, 7 )

d)

( 7, 1 )

94.

Plug in the values of each coordinate point (x,y) to see if it makes a true equation. If the equation is false, then the point does not satisfy the function. If the equation is true, then the point does satisfy the function. There is more than one point that satisfies the function.

a)

( -3, -1 )

b)

(-2, -1 )

c)

( 3, 3 )

d)

( 5, 6 )

95.

Which statement below is true?

a)

The slope of the graph is 2

b)

The y-intercept of the graph is 0

c)

The slope of the graph is negative

d)

The y-intercept of the graph is 1/2.

96.

The graph shows a proportional relationship between the number of pages Sally reads and the time it takes in minutes.

Which statement identifies the correct slope AND the correct interpretation of the slope for this situation?

Remember: Slope = rise/run

a)

The slope of the line is 1/2. So Sally reads 0.5 pages every minute.

b)

The slope of the line is 1/2. So Sally reads 2 pages every minute.

c)

The slope of the line is 2/1. So Sally reads 0.5 pages every minute.

d)

The slope of the line is 2/1. So Sally reads 2 pages every minute.

97.

Enter the equation of the line in the form of y = (m)x + (b) where m is the slope and b is the y-intercept.

Remember: slope = rise/run

a)

y = 2x + 3

b)

y = 1/2 x + 7

c)

y = 3x - 2

d)

y = 4x - 5

98.

Enter the equation of the line in the form of y = (m)x where m is the slope.

Remember: slope = rise/run

a)

y = 2x

b)

y = 1/2 x

c)

y = 3x

d)

y = 4x

99.

Remember:

.1111111 = 1/9

.22222 = 2/9

.55555 = 5/9

100.

Determine for each number whether it is rational or irrational.

Rational numbers CAN be written as fractions.

Irrational numbers CANNOT be written as fractions.

Remember: Anything with pi in it is irrational.

Anything with an imperfect square root is also irrational.

Categorize the following

Rational

Irrational

101.

?

a)

About 4.5

b)

About 2.5

c)

About 7.5

d)

About 9.5

102.

?

a)

Between 6.6 and 6.8

b)

Between 11.1 and 11.3

c)

Between 21.9 and 22.1

d)

Between 33.7 and 33.9

103.

Organize these options into the right categories

Categorize the following

True

False

104.

What is the volume of this rectangular prism?

105.

Use the formulas provided to find the volume of this cylinder. Use the pi button on the Google calculator. Round off to the nearest hundredth.

106.

Triangle ABC is rotated 180 degree clockwise to create A'B'C'.

Select all the equivalent transformations that could create triangle A'B'C'.

HINT: Translation = slide

Rotation = turn

Reflection = Flip

Dilation = Bigger or Smaller

a)

A dilation of a scale factor of 2.

b)

A reflection across the x axis.

c)

A rotation of 180 degrees counter clock-wise.

d)

A translation of 3 units up and 3 units right.

107.

Triangle XYZ is similar but NOT congruent to triangle ABC. Select two of the following pairs of transformations that could have occurred.

Hint: Translation = slide

Rotation = turn

Reflection = flip

Dilation = bigger or smaller

a)

A rotation of 90 degrees clock-wise followed by a reflection across the x axis.

b)

A translation of 8 units up followed by a rotation of 90 degrees counter cloxk-wise.

c)

A dilation of scale factor 1/2, followed by a translation of 4 units left.

d)

A reflection across the y axis followed by a dilation with scale factor 3.

108.

HINT: Scale factor is what you multiply each side length by to get the new shape.

109.

?

a)

b)

c)

d)

110.

HINT: In order for them to have infinite solutions, they need to be the exact same line with the exact same equation. Only one of the equations below could be simplified and re-ordered to be the same.

a)

b)

c)

d)

111.

Enter the x coordinate for the solution to this system.

2x + y = 17

-5x + y = -4

112.

For each value of a, determine how many solutions this equation would have.

2x + 3 = a

Hint: Plug in the value for a and solve... Then look at the table under "Solving Problem"

Categorize the following

a = 0

a = 3x

a = 2x + 6

a = 2x + 3

1 Solution

No Solution

Infinite Solutions

113.

Hint: Make a table for each...

Liquid 16.9 14.6 12.3 etc. etc.

Solid 30.7 23.8 16.9 etc. etc.

114.

Hint: Pretend it is an x y table.

The rate of change is the same as slope.

Change in y / Change in x

115.

Hint: The word Linear means "Straight Line."

Use the graphing calculator in Google Classroom to see the graph of the equation.

a)

b)

c)

d)

116.

Hint: Plug in an x value and y value into the equation to see if it makes a true statement. Be sure to do it a couple of times for each table. Only one table works each time.

a)

b)

c)

d)

117.

Hint: If it isn't already graphed, graph the points or line quickly (doesn't have to be fancy). Then use the vertical line test...

If a vertical line can touch the graph in more than one point, it is not a function.

a)

b)

c)

d)

118.

Enter an equation for this grpah.

Hint: Always start your linear equation names in the form of y = mx + b... In other words, start with the y axis of the graph, which in this case is P.

a)

c = 3p

b)

p = .25c

c)

p = 2c

d)

c = 5p

119.

$Enter\ the\ approximate\ value\ of\ \ 2\ \sqrt[]{29}\ to\ the\ nearest\ tenth.$

120.

$Enter\ the\ approximate\ value\ of\ \ \sqrt[]{\left(13\ +\ 5\right)}\ \ to\ the\ nearest\ tenth.$

121.

Hint: Volume of a Cylinder = $r^2\ \ x\ \ \pi\ \ x\ \ h\ \ \ \ \left(use\ 3.14\ for\ pi\right)$

Take your answer for the large container and divide it by the answer for the small container.

Round to the nearest tenth.

8 HW 53+ALLFIAB MON

Total questions: 121

Worksheet time: 3hrs 5mins

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