AnswersTransition Mathematics for SeniorsLinear Functions

Linear Functions — Test Answers

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Which expression can be used to determine the slope of the linear function graphed?

A
the fraction with numerator 0 minus negative 4 and denominator 2 minus 0
B
the fraction with numerator 2 minus 0 and denominator negative 4 minus 0
C
the fraction with numerator 0 minus 2 and denominator negative 4 minus 0
D
the fraction with numerator negative 4 minus 0 and denominator 2 minus 0
3

Is the function in the graph non-linear?

A
Yes, because it does not have a constant rate of change.
B
No, because it has a constant rate of change.
C
No, because it does not have a constant rate of change.
D
Yes, because it has a constant rate of change.
4

How does the graph change between point cap A and point cap b ?

A
The graph decreases.
B
The graph remains constant.
C
The graph increases.
D
The graph increases, then decreases.
5

What is the rate of change of the function?

A
negative 2
B
1 half
C
2
D
negative 1 half
6

Which linear function shows a direct variation?

A
Graph C
B
Graph D
C
Graph A
D
Graph B
7

What are the slope and the y -intercept of the linear function that is represented by the table?

A
The slope is negative 2 , and the y -intercept is 6 .
B
The slope is 2 , and the y -intercept is 6 .
C
The slope is 2 , and the y -intercept is 12 .
D
The slope is negative 2 , and the y -intercept is 12 .
8

Which set of statements about the angles is true?

A
angle 6 is congruent to angle 2 , angle 5 is congruent to angle 4 , angle 1 is congruent to angle 3
B
angle 6 is congruent to angle 1 , angle 3 is congruent to angle 2 , angle 4 is congruent to angle 5
C
angle 1 is congruent to angle 5 , angle 2 is congruent to angle 4 , angle 3 is congruent to angle 6
D
angle 1 is congruent to angle 6 , angle 2 is congruent to angle 4 , angle 3 is congruent to angle 5
9

What are the slope and the y -intercept of the linear function that is represented by the equation y is equal to 9 x minus 2 ?

A
The slope is 9 , and the y -intercept is 2 .
B
The slope is 9 , and the y -intercept is negative 2 .
C
The slope is negative 2 , and the y -intercept is 9 .
D
The slope is 2 , and they y -intercept is 9 .
10

Caleb made the given table to show the number of hours he works and the amounts he earns over a four-week period. Caleb’s Earnings Hours 12 15 18 21 Earnings (in dollars) 140 170 200 230 Which describes whether the relationship between the earnings and the number of hours represents a direct variation?

A
The earnings increase by 30 for every increase of 3 hours, so the earnings vary directly with the hours.
B
The earnings increase at a steady rate, so the earnings do not vary directly with the hours.
C
The ratios of earnings to hours are not the same each week, so the earnings do not vary directly with the hours.
D
He earns 20 more than 10 times the number of hours he works each week, so the earnings vary directly with the hours.
11

What is the y -intercept of the function f of x is equal to 4 minus 5 x ?

A
negative 4
B
4
C
5
D
negative 5
12

Which table represents a direct variation? Table A x 4 6 8 10 y 7 9 11 13 Table B x 4 6 8 10 y 12 18 24 30 Table C x 4 6 8 10 y 1 3 5 7 Table D x 4 6 8 10 y 3 3 3 3

A
Table B
B
Table D
C
Table C
D
Table A
13

Consider the linear function that is represented by the equation y is equal to negative 10 x plus 6 and the linear function that is represented by the equation y minus 36 is equal to 8 times open paren x minus 4 close paren Which statement is correct regarding their slopes and y -intercepts?

A
The function that is represented by the equation y is equal to negative 10 x plus 6 has a steeper slope, and the function that is represented by the equation y minus 36 is equal to 8 times open paren x minus 4 close paren has a greater y -intercept.
B
The function that is represented by the equation y minus 36 is equal to 8 times open paren x minus 4 close paren has a steeper slope and a greater y -intercept.
C
The function that is represented by the equation y minus 36 is equal to 8 times open paren x minus 4 close paren has a steeper slope, and the function that is represented by the equation y is equal to negative 10 x plus 6 has a greater y -intercept.
D
The function that is represented by the equation y is equal to negative 10 x plus 6 has a steeper slope and a greater y -intercept.
14

Which graph represents a function with a rate of change of 0 point 5 ?

A
Image with description On a coordinate plane, the x axis ranges from negative 5 to 5 in increments of 1. The y axis ranges from negative 5 to 5 in increments of 1. A line passes through the points (negative 2 comma 3) and (1 comma negative 3).
B
Image with description On a coordinate plane, the x axis ranges from negative 5 to 5 in increments of 1. The y axis ranges from negative 5 to 5 in increments of 1. A line passes through the points (negative 4 comma 1) and (2 comma negative 2).
C
Image with description On a coordinate plane, the x axis ranges from negative 5 to 5 in increments of 1. The y axis ranges from negative 5 to 5 in increments of 1. A line passes through the points (negative 2 comma negative 2) and (4 comma 1).
D
Image with description On a coordinate plane, the x axis ranges from negative 5 to 5 in increments of 1. The y axis ranges from negative 5 to 5 in increments of 1. A line passes through the points (negative 2 comma negative 5) and (2 comma 3).
15

Ava wrote the expression the fraction with numerator 4 minus 2 and denominator 3 minus 1 to determine the slope of a line. Which table might represent Ava’s line?

A
Table with 2 columns and 3 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '4'; Column 2, '2' Row 3: Column 1, '3'; Column 2, '1'
B
Table with 2 columns and 3 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '3'; Column 2, '4' Row 3: Column 1, 'negative 1'; Column 2, 'negative 2'
C
Table with 2 columns and 3 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '1'; Column 2, '2' Row 3: Column 1, '3'; Column 2, '4'
D
Table with 2 columns and 3 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '4'; Column 2, '3' Row 3: Column 1, '2'; Column 2, '1'
16

Which expression can be used to determine the slope of the linear function represented in the table? x y 0 5 4 9

A
the fraction with numerator 5 minus 0 and denominator 9 minus 4
B
the fraction with numerator 9 minus 5 and denominator 4 minus 0
C
the fraction with numerator 4 minus 0 and denominator 9 minus 5
D
the fraction with numerator 9 minus 4 and denominator 5 minus 0
17

On the way to the mall Miguel rides his skateboard to get to the bus stop. He then waits a few minutes for the bus to come, then rides the bus to the mall. He gets off the bus when it stops at the mall and walks across the parking lot to the closest entrance. Which graph correctly models his travel time and distance?

A
Image with description On a first quadrant graph, the horizontal axis is labeled time and the vertical axis is labeled speed. From left to right, the graph begins at the origin and moves to a point that is 2 ninths of the way across the horizontal axis and 1 ninth of the way up the vertical axis, moves to a point that is 4 ninths of the way across the horizontal axis and 1 ninth of the way up the vertical axis, moves to a point that is 5 ninths of the way across the horizontal axis and 4 ninths of the way up the vertical axis, moves to a point that is 6 ninths of the way across the horizontal axis and 4 ninths of the way up the vertical axis, and then ends at a point that is 8 ninths of the way across the horizontal axis and 5 ninths of the way up the vertical axis.
B
Image with description On a first quadrant graph, the horizontal axis is labeled time and the vertical axis is labeled speed. From left to right, the graph begins at the origin and moves to a point that is 2 ninths of the way across the horizontal axis and 1 ninth of the way up the vertical axis, moves to a point that is 3 ninths of the way across the horizontal axis and 3 ninths of the way up the vertical axis, moves to a point that is 4 ninths of the way across the horizontal axis and 3 ninths of the way up the vertical axis, moves to a point that is 6 ninths of the way across the horizontal axis and 8 ninths of the way up the vertical axis, and then ends at a point that is 8 ninths of the way across the horizontal axis and 8 ninths of the way up the vertical axis.
C
Image with description On a first quadrant graph, the horizontal axis is labeled time and the vertical axis is labeled speed. From left to right, the graph begins at the origin and moves to a point that is 2 ninths of the way across the horizontal axis and 1 ninth of the way up the vertical axis, moves to a point that is 4 ninths of the way across the horizontal axis and 1 ninth of the way up the vertical axis, moves to a point that is 4 ninths of the way across the horizontal axis and 3 ninths of the way up the vertical axis, moves to a point that is 6 ninths of the way across the horizontal axis and 5 ninths of the way up the vertical axis, and then ends at a point that is 8 ninths of the way across the horizontal axis and 6 ninths of the way up the vertical axis.
D
Image with description On a first quadrant graph, the horizontal axis is labeled time and the vertical axis is labeled speed. From left to right, the graph begins at the origin and moves to a point that is 2 ninths of the way across the horizontal axis and 1 ninth of the way up the vertical axis, moves to a point that is 3 ninths of the way across the horizontal axis and 3 ninths of the way up the vertical axis, moves to a point that is 4 ninths of the way across the horizontal axis and 3 ninths of the way up the vertical axis, moves to a point that is 5 ninths of the way across the horizontal axis and 5 ninths of the way up the vertical axis, and then ends at a point that is 8 ninths of the way across the horizontal axis.
18

On the way to her babysitting job, Mary rode her bike for the first mile. She stopped at a traffic light and waited a few minutes for the traffic light to turn green. She then walked her bike across the street and up a short steep hill. Finally, she rode the bike at a constant speed for one more mile. If Mary created a graph of her time and distance, which statement describes the part of her graph that would show no change in distance?

A
Mary used her bike to ride the first mile.
B
Mary rode her bike at a constant speed for one mile.
C
Mary stopped and waited for the traffic light to turn green.
D
Mary walked her bike across the avenue and up a short hill.
19

What is the slope of the line represented by the equation f of t is equal to 2 t minus 6 ?

A
The slope is 2 and the y -intercept is 6 .
B
The slope is 2 and the y -intercept is negative 6 .
C
The slope is 6 and the y -intercept is 2 .
D
The slope is negative 6 and the y -intercept is 2 .
20

What is the rate of change of the function represented by the table?

A
2 point 5
B
1
C
negative 2 point 5
D
negative 1

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