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8 FIAB TOTAL PT 1

Total questions: 40

Worksheet time: 1hrs 4mins

Name
Class
Date
1.

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

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 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

3.
Question Image

Match the corresponding sides.

a)

MN

1.

s

b)

NO

2.

t

c)

OP

3.

u

d)

PM

4.

r

4.

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
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

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
6.

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.

7.

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.

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.

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

Remember: Slope = Rise/Run

9.

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

10.

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.

11.

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

12.

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

13.

?

14.

?

15.

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

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.

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

18.

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

19.

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
20.

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
21.

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 )

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)

( -3, -1 )

b)

(-2, -1 )

c)

( 3, 3 )

d)

( 5, 6 )

23.

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.

24.

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.

25.

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

26.

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

27.

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

28.

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

29.

Remember:

.1111111 = 1/9

.22222 = 2/9

.55555 = 5/9

30.

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
31.

?

a)

7

b)

8

c)

25

d)

26

32.

?

a)

About 4.5

b)

About 2.5

c)

About 7.5

d)

About 9.5

33.

?

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

34.

Organize these options into the right categories

Categorize the following
True
False
35.

What is the volume of this rectangular prism?

36.

What is the volume of this rectangular prism?

37.

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.

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.

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