AnswersMathematics 8Linear Functions

Linear Functions — Test Answers

25 verified answers
1
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What is the y -intercept of the graph shown?

A
open paren 3 comma 0 close paren
B
open paren 2 comma 0 close paren
C
open paren negative 3 comma 4 close paren
D
open paren 0 comma 2 close paren
2
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Which line on the graph has a slope of zero?

A
cap p
B
cap q
C
cap r
D
cap s
3

What is the x -intercept of the graph shown?

A
open paren 3 comma 0 close paren
B
open paren 0 comma 2 close paren
C
open paren 2 comma 0 close paren
D
open paren negative 3 comma 4 close paren
4

Which point on the graph represents the y -intercept?

A
cap v
B
cap z
C
cap y
D
cap w
5

Which representation represents a proportional relationship? A x 2 4 6 8 y 6 8 10 12 B y is equal to 2 x plus 2 C Open image in full-screen view D x 4 7 12 15 y 8 14 24 30

A
A
B
C
C
D
D
B
6

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 A
C
Table D
D
Table C
7

The table of values here represents a linear function and shows the amount of money in a tip jar at a dry cleaners since the dry cleaners opened for the day. How much was in the tip jar when the dry cleaners opened? Amount of Money in a Tip Jar at a Dry Cleaners Number of Hours Since Dry Cleaners Opened 4 5 6 7 8 Amount of Money in Tip Jar dollars 15 point 5 0 18 point 2 5 21 point 0 0 23 point 7 5 26 point 5 0

A
2 point 7 5 dollars
B
7 point 2 5 dollars
C
4 point 5 0 dollars
D
1 point 7 5 dollars
8

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, '1'; Column 2, '2' Row 3: Column 1, '3'; Column 2, '4'
C
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'
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'
9

Which equation represents a line with an undefined slope?

A
x is equal to 0
B
y is equal to 0
C
y is equal to negative x
D
y is equal to x
10

Which statement is correct?

A
A vertical line has a slope of zero.
B
A line that rises from left to right has a positive slope.
C
A horizontal line has no slope.
D
A line that falls from right to left has a negative slope.
11

Which statement correctly describes the slope of the linear function that is represented by the data in the table? x y 8 negative 8 8 negative 4 8 0 8 4 8 8

A
The slope is positive.
B
The slope is zero.
C
The slope is negative.
D
There is no slope.
12

The table of values here represents a linear function and shows Marco’s progress as he is pumping gas into his car. What is the output for the initial value? Gas in Macro's Car Seconds Spent Pumping Gas 0 12 24 36 48 Gallons of Gas in Car 3 5 7 9 11

A
3 gallons
B
6 gallons
C
0 gallons
D
2 gallons
13

What is the y -intercept of the linear equation x is equal to negative 1 half y plus 6 ?

A
negative 3
B
negative 6
C
0
D
12
14

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
He earns 20 more than 10 times the number of hours he works each week, so the earnings vary directly with the hours.
B
The ratios of earnings to hours are not the same each week, so the earnings do not vary directly with the hours.
C
The earnings increase by 30 for every increase of 3 hours, so the earnings vary directly with the hours.
D
The earnings increase at a steady rate, so the earnings do not vary directly with the hours.
15

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 9 minus 4 and denominator 5 minus 0
B
the fraction with numerator 5 minus 0 and denominator 9 minus 4
C
the fraction with numerator 9 minus 5 and denominator 4 minus 0
D
the fraction with numerator 4 minus 0 and denominator 9 minus 5
16

Four students graphed one linear function each. Rhett Open image in full-screen view Cameron Open image in full-screen view Ellis Open image in full-screen view Braden Open image in full-screen view Which student graphed a linear function with a y -intercept at negative 4 ?

A
Rhett
B
Ellis
C
Cameron
D
Braden
17

What is the slope, m , and y -intercept for the line that is plotted on the given grid?

A
m is equal to 1 half , open paren 0 comma negative 2 close paren
B
m is equal to 1 half , open paren 0 comma 4 close paren
C
m is equal to 2 , open paren 0 comma 4 close paren
D
m is equal to 2 , open paren 0 comma negative 2 close paren
18

Which line on the graph has an undefined slope?

A
cap p
B
cap q
C
cap r
D
cap s
19

What is the y -intercept of the graph that is shown?

A
open paren negative 1 comma 2 close paren
B
open paren 0 comma 4 close paren
C
open paren 4 comma 0 close paren
D
open paren negative 2 comma 0 close paren
20

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

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

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