Quiz about Practice Test (A) PM3 Review 24/25

Question 1

1. Each centimeter on a map represents 6 kilometers of real-world distance. What is the equation of the line that represents this relationship, where x represents the map distance in centimeters and y represents the real-world distance in kilometers?

Accepted Answer

y = 6x

Answer

y = x + 6

Answer

y = x/6

Answer

y = 6 + x

Question 2

The data sets show ___ association.

Accepted Answer

positive

Accepted Answer

linear

Answer

negative

Answer

nonlinear

Question 3

Does the graph shown represent a function? Explain.

Accepted Answer

The graph does not represent a function because some x-values have more than one corresponding y-value.

Answer

The graph represents a function because there is exactly one y-value for each x-value.

Answer

The graph does not represent a function because there is exactly one y-value for each x-value.

Answer

The graph represents a function because some x-values have more than one corresponding y-value.

Question 4

Simplify the expression $$(-1 3/4)^2$$ - $$\sqrt{127 - 2^3}$$ .

Accepted Answer

-7 15/16

Answer

-14 1/16

Answer

-10 3/16

Answer

14 1/16

Question 5

What is the equation of the line shown on the graph?

Accepted Answer

y = -3x + 2

Answer

y = -2x + 3

Answer

y = 3x + 2

Answer

y = 3x + 2

Question 6

Consider the system of equations: y = 2x - 3 y = 1/3x + 2 Part A Graph the system of equations on the coordinate plane. Part B Solve the system of equations. Express the solution as an ordered pair.

Accepted Answer

(3, 3)

Answer

(0, -3)

Answer

(1, -1)

Answer

(2, 1)

Question 7

Select all the statements that are true about the relation shown in the mapping diagram.

Accepted Answer

The domain is {1, 2, 5, 11}.

Accepted Answer

The relation is not a function.

Accepted Answer

The range is {5, 9, 21, 42}.

Answer

The relation is a function.

Answer

The range is {1, 2, 5, 11}.

Question 8

A linear function passes through the points given in the table. Write the equation of the function in slope-intercept form.

Accepted Answer

y = 5x - 1

Answer

y = 4x + 2

Answer

y = 3x + 7

Answer

y = 2x + 15

Question 9

The points in the table form a proportional relationship. What is the slope of the line that passes through these points?

Accepted Answer

Answer

2/3

Answer

1/2

Answer

5/2

Question 10

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 is greater between points B and C than between points A and B.

Answer

The slope is greater between points A and B than between points B and C.

Answer

The slopes are opposite.

Question 11

Which expression has a value less than 1?

Accepted Answer

$$5^{-1}$$

Answer

$$(1/3)^2$$

Answer

$$5^{-2}\cdot5^2$$

Answer

$$5^0$$

Question 12

Which ordered pair represents a solution to the system of equations?

Accepted Answer

(-4, 7)

Answer

(-2, 6)

Answer

(8, -5)

Answer

(4, 3)

Question 13

Which point is closest to point A?

Accepted Answer

C

Answer

B

Answer

D

Question 14

The function shown represents the value, v, of an investment over x years. Select all of the statements that describe the graph.

Accepted Answer

The function is nonlinear.

Accepted Answer

The graph is always increasing.

Answer

The rate of change is constant.

Answer

The function is linear.

Answer

The graph is always decreasing.

Question 15

The school is located at (0, 0) on a coordinate plane. Mary lives 2 miles north of the school. Her classmate Roger lives 3 miles west of the school. What is the distance between Mary and Roger's houses? Round your answer to the nearest tenth of a mile.

Accepted Answer

3.6

Answer

2.0

Answer

5.0

Answer

1.4

Question 16

Consider the inequality: -8x + 2.75 > 34

Solve the inequality.

Accepted Answer

x > -7

Answer

x > 7

Answer

x < 7

Answer

x < -7

Question 17

If Figure A is reflected across the x-axis, which of the following is NOT a vertex of the reflected image?

Accepted Answer

(-1, 1)

Answer

(1, -2)

Answer

(2, -4)

Answer

(3, -1)

Question 18

Solve the equation: (4/3)(x + 6) = 2x - 3 + x.

Accepted Answer

x = 33/5

Answer

x = 7

Answer

x = -3/5

Answer

x = 5/3

Question 19

For each ride, a taxi driver charges an initial charge plus an additional fee based on the number of kilometers of the trip. The graph shows the cost for taxi rides. Select a true statement.

Accepted Answer

The slope is 2.1. This means that each kilometer costs $2.10.

Answer

The slope is 5. This means that each kilometer costs $5.

Answer

The y-intercept is 2.1. This means that the initial charge is $2.10.

Answer

The y-intercept is 5. This means that the ride lasts 5 kilometers.

Question 20

The cost of buying different numbers of bagels is shown. Complete a true statement to describe the cost function: The function is ___ because there ___ a constant rate of change.

Accepted Answer

nonlinear

Accepted Answer

is not

Answer

linear

Answer

is

Question 21

33. A figure is shown. Does the following show its image after a reflection across the x-axis?

Accepted Answer

True

Answer

False

Question 22

How many solutions does the system of equations shown have?

Accepted Answer

one solution

Answer

no solution

Answer

two solutions

Answer

infinitely many solutions

Question 23

A fair spinner has 4 sections: red, green, yellow, and blue. The spinner is spun twice. Select all the outcomes that are part of the sample space.

Accepted Answer

red, yellow

Accepted Answer

blue, blue

Accepted Answer

green, red

Answer

red, orange

Answer

blue, red, green

Question 24

Miranda is standing at the corner of a 7-meter by 11-meter 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? Round your answer to the nearest hundredth of a meter.

Accepted Answer

4.96

Answer

2.50

Answer

7.85

Answer

9.23

Question 25

Joseph graphs how much money he makes per hour on his newspaper delivery route. He finds that the graph tends to be linear and draws a line that passes through the points (2, 11) and (8, 44). About how much does he earn per hour?

Accepted Answer

$5.50

Answer

$5.00

Answer

$6.00

Answer

$6.50

Question 26

A regular dodecagon has 12 congruent sides. What is the measure of each interior angle of a regular dodecagon, in degrees?

Accepted Answer

150

Answer

40

Answer

535

Answer

160

Question 27

Consider the dilation shown. Part A: What is the scale factor of the dilation?

Accepted Answer

1 and 3/5

Answer

1/2

Answer

4 and 5/7

Answer

7/9

Question 28

While playing a board game, players start their turn by rolling a six-sided die numbered 1 through 6 twice. Find the probability of rolling two numbers that have a sum of 7. Express your answer as a fraction in simplest form. (Part A)

Accepted Answer

1/6

Answer

1/12

Answer

1/9

Answer

1/8

Question 29

If the players take 150 turns during the game, how many times would you expect a sum of 7 to be rolled? (Part B)

Accepted Answer

25

Answer

15

Answer

30

Answer

21

Question 30

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. The hang glider's height above the ground, y, is a nonlinear function of time, x. Select the correct description of the intervals of the graph of the function.

Accepted Answer

decreasing, then constant, then decreasing

Answer

constant, then decreasing

Answer

increasing, then constant, then decreasing

Answer

constant, then decreasing, then constant

Question 31

Completely factor the expression $$6z^7 - 18z^3$$ .

Accepted Answer

$$6z^3(z^4 - 3)$$

Answer

$$6z^3(z^4 - 3z^2)$$

Answer

$$6(z^7 - 3z^3)$$

Answer

$$2(6z^4 - 18)$$

Question 32

Who has been your favorite math teacher this year?

Accepted Answer

Miss Majka

Accepted Answer

Mr. Markey

Accepted Answer

Ms. Pilato

Practice Test (A) PM3 Review 24/25

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