Quiz about Final Review For Benchmark

Question 1

The Venn diagram shows the relationship between several sets of numbers. Where should 0.7% be placed in the Venn diagram?

Accepted Answer

Rational Numbers

Answer

Integers

Answer

Natural Numbers

Question 2

Which lists of terms are ordered from least to greatest. Select THREE correct answers.

Accepted Answer

$$\sqrt[]{6}\ ,\ 2.5,\ \frac{8}{3}$$

Accepted Answer

$$3.3,\ \sqrt[]{12},\ \frac{15.5}{4}$$

Accepted Answer

-8, -2, 0

Answer

$$3.3,\ \sqrt[]{17},\ \frac{11}{4}$$

Answer

0, $$-\frac{1}{2}$$ , -2

Question 3

Write the difference between 1,200,000,000 and 120,000,000 written in Scientific notation.

Accepted Answer

$$1.08\ imes\ 10^9$$

Answer

$$10.80\ imes\ \ 10^9$$

Answer

$$1.8\ imes\ 10^{-9}$$

Answer

$$1\ imes\ 10^{11}$$

Question 4

The Venn diagram shows the relationship between several sets of numbers. Which equation contains a value of n that should NOT be placed in the shaded region of the Venn diagram?

Accepted Answer

$$-10n\ =\ 50$$

Answer

$$-\frac{n}{3}=-10$$

Answer

$$-2n\ =\ -10$$

Answer

$$-\frac{n}{2}=-20$$

Question 5

The value of $$\sqrt[]{70}$$ is between which two consecutive integers?

Accepted Answer

Between 8 and 9

Answer

Between 9 and 10

Answer

Between 7 and 8

Answer

Between 13 and 14

Question 6

The sum of 3 times the value of x and 2 is equal to 4 less than 5 times the value of x. Which equation can be used to find the value of x?

Accepted Answer

$$3x\ +\ 2\ =5x\ -\ 4\ $$

Answer

$$5x\ +\ 2\ =\ 3x\ -\ 4$$

Answer

$$5x\ +\ 3x\ =\ 2\ -\ 3$$

Answer

$$3x\ =\ 4x\ -\ 2$$

Question 7

A distance of 1.6 kilometers is approximately equal to a distance of 1 mile. Which graph has a slope that best represents the number of kilometers per mile?

Accepted Answer

Option A is correct

Answer

B.

Question 8

Which set of ordered pairs represents y as a function of x?

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 9

The table shows the linear relationship between x, the altitude in feet, and y, the boiling point of water in degrees Fahrenheit. What are the slope and y-intercept of the line that models this situation?

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 10

Ms. Howard is comparing the cost to attend two different preschools.

Preschool A charges a $40.00 registration fee plus $5.00 per day of attendance.

Preschool B does not charge a registration fee but charges $7.50 per day of attendance.

Write an equation for finding the number of days where the cost of attendance be the same for both preschools?

Accepted Answer

$$5x\ +\ 40\ =\ 7.5x$$

Answer

$$7.5x\ +\ 40\ =\ 5x$$

Answer

$$40x\ +\ 5\ =\ 7.5x$$

Answer

$$5x\ =\ 7.5x$$

Question 11

An object placed on a conveyor belt can move 9 feet every 18 seconds. Plot two points that represent the distance an object would travel in different amounts of time at that rate. Select two points on the coordinate grid. A line will connect the points.

Accepted Answer

A and B

Answer

C and D

Answer

Not here.

Question 12

Which of these representations show y as a function of x?

Accepted Answer

All of them.

Answer

I and II

Answer

I and III

Answer

None of them.

Question 13

A new motorcycle has a value of $8,000. Every year its value decreases by $500. Which function can be used to find y, the value of the motorcycle in x years?

Accepted Answer

$$y\ =\ -500x\ +\ 8000$$

Answer

$$y\ =\ -500x\ -\ 800$$

Answer

$$y\ =\ 8000x\ -\ 500$$

Question 14

Which representation shows a nonproportional relationship between x and y?

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 15

The graph of a linear function is shown on the coordinate grid. What is the slope of the graph of this function?

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 16

A database contains 58,000 items. Items are added to the database at a rate of 2 items per minute. Which function can be used to find n, the total number of items in the database after m minutes?

Accepted Answer

$$n\ =\ 2m\ +\ 58000$$

Answer

$$n\ =\ 2m\ -\ 58000$$

Answer

$$n\ =\ 58000n\ +\ 2$$

Question 17

Rectangle ABCD and rectangle AXYZ are similar. Which proportion must be true?

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 18

A photograph is enlarged into a poster so that the dimensions of the poster are 8 times the dimensions of the photograph. Which statements are true about the area and perimeter of the poster?

Accepted Answer

The area of the poster is 64 times the area of the photograph.

Accepted Answer

The perimeter of the poster is 8 times the perimeter of the photograph.

Answer

The area of the poster is 16 times the area of the photograph.

Answer

The area is 32 times the perimeter of the photograph.

Question 19

If, in a dilation the figure became larger, which of these rules can best represent that transformation?

Accepted Answer

$$\left(x,y\right)\ \rightarrow\ \left(\frac{3}{2}x,\ \frac{3}{2}y\right)$$

Accepted Answer

$$\left(x,y\right)\ \rightarrow\ \left(\frac{8}{5}x,\ \frac{8}{5}y\right)$$

Accepted Answer

$$\left(x,y\right)\ \rightarrow\ \left(\frac{7}{6}x,\ \frac{7}{6}y\right)$$

Answer

$$\left(x,y\right)\ \rightarrow\ \left(\frac{2}{3}x,\ \frac{2}{3}y\right)$$

Question 20

Select all the proportional equations!

Accepted Answer

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

Accepted Answer

$$y\ =\ -3x$$

Accepted Answer

$$y\ =\ 1500x$$

Answer

$$y\ =\ \frac{1}{3}x\ +\ 5$$

Answer

$$y\ =\ 2x\ +\ 1$$

Question 21

Select all the non-proportional equations!

Accepted Answer

$$y\ =\ \frac{1}{3}x\ +\ 5$$

Accepted Answer

$$y\ =\ 2x\ +\ 1$$

Answer

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

Answer

$$y\ =\ -3x$$

Answer

$$y\ =\ 1500x$$

Question 22

Select all the proportional graphs.

Accepted Answer

Option A is correct

Accepted Answer

Option B is correct

Answer

C.

Answer

D.

Question 23

Select all the non-proportional graphs.

Accepted Answer

Option C is correct

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Question 24

Select all TRUE and FALSE statements.

Accepted Answer

C and E are True

Accepted Answer

A, B and D are false

Answer

A, B and C are True

Answer

A, B and E are False.

Question 25

This is the scatter plot of height of people and their arm span. Which statement is true?

Accepted Answer

It is positively associated. Someone who has more height will have lengthier arm span.

Answer

It is negatively associated. Someone who has more height will have shorter arm span.

Question 26

This is the scatter plot representation of time spent on video games and Math grades. Which statement is true?

Accepted Answer

It is negatively associated. The more time spent on video games gives low scores.

Answer

It is positively associated. The more time spent on video games gives high scores.

Question 27

This is the scatter plot representation of waiting time and movie attendance. What do you notice?

Accepted Answer

When people have to wait more, less attendance is registered (Negative Correlation)

Answer

When people have to wait more, more attendance is registered (Positive Correlation).

Question 28

What sort of association is represented in the scatter plot?

Accepted Answer

No association.

Answer

Positive association.

Answer

Negative association.

Question 29

The scatterplot shows the energy in watts and the light output in lumens per watt of several lightbulbs. Which statement best describes the association between the energy and light output of these lightbulbs?

Accepted Answer

There is no apparent association between the energy and light output.

Answer

As the energy increases, the light output remains the same.

Answer

As the energy increases, the light output increases.

Answer

As the energy increases, the light output decreases.

Question 30

Students recorded the total number of pages and chapters in each of several books on the scatterplot. Based on the scatterplot, which is the best prediction of the total number of pages in a book with 4 chapters?

Accepted Answer

120 pages

Answer

140 pages

Answer

90 pages

Answer

150 pages

Question 31

Which mapping is being shown above?

Accepted Answer

Each x is associated with one y value. It is a function.

Answer

Each x is not associated with one y value. It is not a function.

Question 32

Identify the type of mapping above.

Accepted Answer

Each x is not associated with one y value. It is not a function.

Answer

Each x is associated with one y value. It is a function.

Question 33

Which of the following is NOT a function?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 34

Write an equation for the table in the form of

y = mx + b

Accepted Answer

y = 10x + 60

Answer

y = 50x + 70

Answer

y = 60x + 20

Answer

y = 70x + 5

Question 35

Write an equation for the graph.

Accepted Answer

y = x - 3

Answer

y = -2x - 5

Answer

y = 2x + 3

Answer

y = 3x - 3

Question 36

Write an equation for the graph.

Accepted Answer

y = 7.5x

Answer

y = 30x

Answer

y = 4x

Answer

y = 5x

Question 37

Which Venn diagram is true?

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 38

What is the equation of the graph a?

Accepted Answer

$$y\ =\ 2x\ +\ 2$$

Answer

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

Answer

$$y\ =\ x$$

Final Review For Benchmark

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