Quiz about Benchmark Review

Question 1

Select all the statements that are true about the equation and the graph. $$y = \frac{22}{3}x$$

Accepted Answer

The graph represents a proportional relationship.

Accepted Answer

The equation represents a proportional relationship.

Accepted Answer

The equation has the greater unit rate.

Answer

The graph has the greater unit rate.

Answer

The graph and the equation have the same unit rate.

Question 2

What is the meaning of $$\frac{5}{2}$$ in terms of the context?

Accepted Answer

For every temperature increase of 1 degree, on average the shop sells $2.50 more ice cream.

Answer

For every temperature increase of 6 degrees, on average the shop sells $2.50 more ice cream.

Answer

For every temperature increase of 5 degrees, on average the shop sells $2.50 more ice cream.

Answer

For every temperature increase of 1 degree, on average the shop sells $2.50 less ice cream.

Question 3

Does the graph shown represent a function? Explain.

Accepted Answer

No, some values of x correspond to two values of y.

Answer

Yes, all values of x have only one corresponding y-value.

Answer

Yes, some values of x correspond to two values of y.

Answer

No, all values of x have only one corresponding y-value.

Question 4

Estimate the solution to the system of equations by graphing. What is the solution? Equations: y = 2x - 3, 3y - x = 6.

Accepted Answer

(3, 3)

Answer

(2, 1)

Answer

(1, -1)

Answer

(0, -3)

Question 5

Is the relation shown in the arrow diagram a function? Explain.

Accepted Answer

No, the input 2 has two outputs.

Answer

Yes, each input only has one output.

Answer

Yes, each input has more than one output.

Answer

No, each input only has one output.

Question 6

Compare the proportional relationships and determine which store has the lowest price per pound of apples. What is that price?

Accepted Answer

Store B; $1.80 per pound

Answer

Store A; $1.80 per pound

Answer

Store B; $2.05 per pound

Answer

Store A; $2.05 per pound

Question 7

Which function has the greater rate of change? What is the rate of change?

Accepted Answer

Function A, with rate of change -3/2

Answer

Function A, with rate of change -3

Answer

Function B, with rate of change -1/3

Answer

Function B, with rate of change 4

Question 8

Consider the line shown. What can you say about the slope between points A and B and the slope between points B and C?

Accepted Answer

The slopes are equal.

Answer

The slope between A and B is greater.

Answer

The slope between B and C is greater.

Answer

The slope between B and C is less.

Question 9

Which expression has a value less than one?

Accepted Answer

$$5^{-1}$$

Answer

$$(1/5)^{-2}$$

Answer

$$5^0$$

Answer

$$(-1/5)^{-2}$$

Question 10

Solve the system of equations.

Accepted Answer

x = 1/2, y = 1

Answer

x = 1, y = 2

Answer

No solution

Answer

Infinitely many solutions

Question 11

Which point is closest to point A?

Accepted Answer

Point C

Answer

Points B, C, and D are all the same distance from point A.

Answer

Point B

Answer

Point D

Question 12

Select all the statements that describe the graph shown.

Accepted Answer

The graph is nonlinear.

Accepted Answer

The graph is increasing.

Answer

The rate of change is constant.

Answer

The graph is linear.

Answer

The graph is decreasing.

Question 13

Which function has a greater initial value? What is the initial value?

Accepted Answer

Function A, with initial value 4

Answer

Function A, with initial value 6

Answer

Function B, with initial value 3

Answer

Function B, with initial value 5

Question 14

Accepted Answer

4, 6

Accepted Answer

5, 5

Accepted Answer

6, 4

Answer

2, 5

Answer

5, 2

Question 15

Rebecca and Jessica have each come up with a study plan. - Rebecca studies for 60 minutes one night. Each night after that, she studies for half the time she did the night before. - Jessica studies for 55 minutes one night. Each night after that, she studies for 5 fewer minutes than she did the night before. Determine whether each study plan has a linear or nonlinear relationship.

Accepted Answer

Rebecca's plan is nonlinear, Jessica's plan is linear

Answer

Rebecca's plan is linear, Jessica's plan is nonlinear

Answer

Both plans are linear

Answer

Both plans are nonlinear

Question 16

Figure B is the image of Figure A after a dilation with center (0,0) and a reflection across the x-axis. What is the scale factor of the dilation?

Accepted Answer

2

Answer

1

Answer

-1

Answer

-2

Question 17

Accepted Answer

Yes, each input has a single output.

Answer

Yes, each input has multiple outputs.

Answer

No, each input has multiple outputs.

Answer

No, each input has a single output.

Question 18

A figure with 2 parallel sides is shown. Select all the statements that are true about the image of the figure after a reflection across the horizontal axis.

Accepted Answer

The side lengths of the image have the same length as those of the preimage.

Accepted Answer

Two of the sides of the image are parallel.

Answer

The side lengths of the image are twice as long as those of the preimage.

Answer

The side lengths of the image are half as long as those of the preimage.

Answer

The angles of the image have half the measure as those of the preimage.

Question 19

Consider the two functions shown in the tables. Which of these functions is linear?

Accepted Answer

Function B

Answer

Function A

Answer

Both

Answer

Neither

Question 20

What is the value of x in the figure?

Accepted Answer

20

Answer

10

Answer

30

Answer

40

Question 21

Miranda is standing at the corner of a 70 m by 110 m soccer field. She needs to go to the corner diagonally opposite from where she is standing. How much shorter is it if she cuts across the diagonal instead of walking around the perimeter of the field?

Accepted Answer

R. 49.6 m shorter

Answer

M. 30.1 m shorter

Answer

P. 35.7 m shorter

Answer

S. 53.2 m shorter

Question 22

Each day, Joseph graphs how much money he made on his newspaper delivery route against the number of hours he worked that day. He finds that the graph appears to be linear and draws a line that passes through the points (3, 46.5) and (8, 124). About how much does he earn per hour?

Accepted Answer

$15.50

Answer

$15.00

Answer

$16.00

Answer

$16.50

Question 23

Which line best models the relationship between the variables.

Accepted Answer

y = -500x + 8,000

Answer

y = -5,000/7x + 8,000

Answer

y = -5/7x + 8,000

Answer

None; the relationship is not linear.

Question 24

Select all the numbers that are rational.

Accepted Answer

11.93

Accepted Answer

2.96

Accepted Answer

$$\sqrt{25}$$

Accepted Answer

$$\frac{5432}{79}$$

Answer

$$\sqrt{7}$$

Question 25

A triangle has two sides of length 3 m and 8 m. Select all the values of its third side that would make it a right triangle.

Accepted Answer

$$\sqrt{73}$$ m

Accepted Answer

about 8.5 m

Answer

11 m

Answer

5 m

Answer

$$\sqrt{55}$$ m

Question 26

A hang glider takes off from a cliff and initially drops a few feet. She remains at that height for a few minutes, then steadily descends until she reaches the ground. Select all the terms that describe the height of the hang glider over time, for the entire length of her trip.

Accepted Answer

non-linear

Answer

increasing

Answer

positive

Answer

constant

Answer

linear

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