AnswersAlgebra ILinear Functions

Practice Test Answers

14 verified answers
1
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What does the slope of the graph mean?

A
Tracie’s bus travels towards her home at an average speed of 1 half mile per minute.
B
Tracie’s bus travels away from her home at an average speed of 1 half mile per minute.
C
Tracie’s bus travels away from her home at an average speed of 2 miles per minute.
D
Tracie’s bus travels towards her home at an average speed of 2 miles per minute.
2
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Mr. Shaw graphs the function f of x is equal to negative 5 x plus 2 for his class. The line contains the point negative 2 comma 12 What is the point-slope form of the equation of the line he graphed?

A
y minus 12 is equal to 2 times open paren x plus 2 close paren
B
y plus 12 is equal to 2 times open paren x minus 2 close paren
C
y plus 12 is equal to negative 5 times open paren x minus 2 close paren
D
y minus 12 is equal to negative 5 times open paren x plus 2 close paren
3

Raphael graphed the functions g of x is equal to x plus 2 and f of x is equal to x minus 1 . How many units below the y -intercept of g of x is the y -intercept of f of x ? Open image in full-screen view

A
negative 3 units
B
3 units
C
2 units
D
negative 1 units
4

Line cap q cap r goes through points Q 0 comma 1 and R 2 comma 7 Which equation represents line cap q cap r ?

A
y minus 7 is equal to 2 x minus 6
B
y minus 1 is equal to 6 x
C
y minus 1 is equal to 3 x
D
y minus 7 is equal to x minus 2
5

The graph of the equation x minus 2y is equal to 5 has an x -intercept of 5 and a slope of (1)/(2) Which shows the graph of this equation?

A
Image with description A coordinate plane with both the x and y-axes labeled from negative 5 to 5 in increments of 1. A straight line with a slope passes through the points negative 4 comma 1, negative 2 comma 0 and 0 comma negative 1.
B
Image with description A coordinate plane with both the x and y-axes labeled from negative 5 to 5 in increments of 1. A straight line with a slope passes through the points negative 2 comma negative 3, 0 comma negative 2, 2 comma negative 1, and 4 comma 0.
C
Image with description A coordinate plane with both the x and y-axes labeled from negative 5 to 5 in increments of 1. A straight line with a slope passes through the points negative 3 comma negative 4, 5 comma 0 and crosses the y-axis between negative 2 and negative 3.
D
Image with description A coordinate plane with both the x and y-axes labeled from negative 5 to 5 in increments of 1. A straight line with a slope passes through the points negative 2 comma 4, 0 comma 0.5 and 2 comma negative 3.
6

What is the constant of variation, k , of the line y is equal to k x through 3 comma 18 and 5 comma 30 ?

A
6
B
3 fifths
C
3
D
5 thirds
7

Which table represents a linear function?

A
Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '1'; Column 2, 'negative 2' Row 3: Column 1, '2'; Column 2, 'negative 5' Row 4: Column 1, '3'; Column 2, 'negative 9' Row 5: Column 1, '4'; Column 2, 'negative 14'
B
Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '1'; Column 2, 'negative 2' Row 3: Column 1, '2'; Column 2, 'negative 4' Row 4: Column 1, '3'; Column 2, 'negative 8' Row 5: Column 1, '4'; Column 2, 'negative 16'
C
Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '1'; Column 2, 'negative 2' Row 3: Column 1, '2'; Column 2, 'negative 6' Row 4: Column 1, '3'; Column 2, 'negative 2' Row 5: Column 1, '4'; Column 2, 'negative 6'
D
Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '1'; Column 2, 'negative 2' Row 3: Column 1, '2'; Column 2, 'negative 10' Row 4: Column 1, '3'; Column 2, 'negative 18' Row 5: Column 1, '4'; Column 2, 'negative 26'
8

Timmy writes the equation f of x is equal to 1 fourth x minus 1 He then doubles both of the terms on the right side to create the equation g of x is equal to 1 half x minus 2 . How does the graph of g of x compare to the graph of f of x ?

A
The line of g of x is steeper and has a higher y -intercept.
B
The line of g of x is less steep and has a lower y -intercept.
C
The line of g of x is steeper and has a lower y -intercept.
D
The line of g of x is less steep and has a higher y -intercept.
9

Which shows a graph of a linear equation in standard form cap A x plus cap b y is equal to cap c , where cap A is equal to 0 , cap b is positive, and cap c is negative?

A
Image with description A coordinate plane has both x and y axes labeled from negative 5 to 5. A vertical straight line, parallel to y axis is at x equals 1, and passes through the points 1 comma negative 4, 1 comma 0, and 1 comma 4.
B
Image with description A coordinate plane with a horizontal line. The x and y-axes are labeled from negative 5 to 5 in increments of 1. A horizontal line is drawn at y equals negative 3, extending from the left to the right of the grid.
C
Image with description A coordinate plane with a vertical line. The x and y-axes are labeled from negative 5 to 5 in increments of 1. A vertical line is drawn at x equals negative 1, extending from the top to the bottom of the grid.
D
Image with description A coordinate plane with a horizontal line. The x and y-axes are labeled from negative 5 to 5 in increments of 1. A horizontal line is drawn at y equals 4, extending from the left to the right of the grid.
10

A line that passes through the points negative 4 comma 10 and negative 1 comma 5 can be represented by the equation y is equal to negative 5 thirds open paren x minus 2 close paren Which equations also represent this line? Choose three correct answers.

A
5x plus 3y is equal to 10
B
y is equal to negative 5 thirds x plus 10 thirds
C
3y is equal to minus 5x plus 10
D
y is equal to minus 5 thirds x minus 2
E
3x plus 15y is equal to 30
11

To graph the equation 2 x plus 5 y is equal to 10 , Zeplyn draws a line through the points 5 comma 0 and 0 comma 2 What is the slope of the line represented by 2 x plus 5 y is equal to 10 ?

A
negative 5 halves
B
2 fifths
C
negative 2 fifths
D
5 halves
12

A line is drawn through negative 4 comma 3 and 4 comma 3 Which describes whether or not the line represents a direct variation?

A
The line represents a direct variation because it is horizontal.
B
The line represents a direct variation because negative 4 thirds is equal to 4 thirds .
C
The line does not represent a direct variation because negative 4 times 3 is not equal to 4 times 3 .
D
The line does not represent a direct variation because it does not go through the origin.
13

Which linear function represents the line given by the point-slope equation y minus 8 is equal to 1 half times open paren x minus 4 close paren ?

A
f of x is equal to 1 half x plus 4
B
f of x is equal to 1 half x minus 10
C
f of x is equal to 1 half x minus 12
D
f of x is equal to 1 half x plus 6
14

Mrs. Jackson gives the table to her students. x y 4 26 5 23 6 a In order for the function to be linear, what must a be and why?

A
a is equal to 22 because the rate of change is negative 1 .
B
a is equal to 20 because the rate of change is negative 3 .
C
a is equal to 20 because the rate of change is 3 .
D
a is equal to 22 because the rate of change is 1 .

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