Linear Functions — Test Answers

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1
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What is an equivalent equation solved for h ?

A
h is equal to open paren p over 0 point 7 minus b close paren divided by r
B
h is equal to p over 0 point 7 minus b divided by r
C
h is equal to open paren p over 0 point 7 close paren divided by r minus b
D
h is equal to the fraction with numerator p minus b and denominator 0 point 7 divided by r
2
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When she adds 2 to both sides, the equation 4 x is equal to 3 x results. Which solution will best illustrate what happens to x ?

A
The equation has no solution.
B
The equation has one solution: x is equal to 0 .
C
The equation has one solution: x is equal to 4 thirds .
D
The equation has infinite solutions.
3

Which steps should be used to graph the equation? y minus 4 is equal to 1 third times x plus 2

A
1. Plot the point 2 comma 4 . 2. From that point, count left 3 units and down 1 unit and plot a second point. 3. Draw a line through the two points.
B
1. Plot the point negative 2 comma 4 . 2. From that point, count left 3 units and down 1 unit and plot a second point. 3. Draw a line through the two points.
C
1. Plot the point 2 comma 4 . 2. From that point, count left 1 unit and down 3 units and plot a second point. 3. Draw a line through the two points.
D
1. Plot the point negative 2 comma 4 . 2. From that point, count left 1 unit and down 3 units and plot a second point. 3. Draw a line through the two points.
4

Which statement best explains the relationship between lines CD and FG ?

A
They are not perpendicular because their slopes are equal.
B
They are not perpendicular because their slopes are negative reciprocals.
C
They are perpendicular because their slopes are negative reciprocals.
D
They are perpendicular because their slopes are equal.
5

What is the missing step of her solution?

A
Simplify by using the multiplication property of equality.
B
Simplify by combining like terms.
C
Simplify by using the division property of equality.
D
Simplify by using the addition property of equality.
6

What is the rate of change of the amount earned with respect to hours worked for this function?

A
13 dollars per hour
B
3 dollars per hour
C
1 thirteenth hours per dollar
D
2 fifths hours per dollar
7

What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point open paren negative 1 comma negative 1 close paren ?

A
y plus 1 is equal to negative 1 third times open paren x plus 1 close paren
B
y plus 1 is equal to 3 times open paren x plus 1 close paren
C
y plus 1 is equal to 1 third times open paren x plus 1 close paren
D
y plus 1 is equal to negative 3 times open paren x plus 1 close paren
8

Which point on the y -axis lies on the line that passes through point cap g and is parallel to line DF ?

A
open paren negative 2 comma 0 close paren
B
open paren 4 comma 0 close paren
C
open paren 0 comma negative 2 close paren
D
open paren 0 comma 4 close paren
9

What is the equation of the line that is parallel to the given line and passes through the point open paren negative 2 comma 2 close paren ?

A
y is equal to 1 fifth x plus 4
B
y is equal to negative 5 x plus 12 fifths
C
y is equal to 1 fifth x plus 12 fifths
D
y is equal to negative 5 x plus 4
10

What is the equation, in slope-intercept form, of the perpendicular bisector of the given line segment?

A
y is equal to 1 third x minus 2
B
y is equal to 3 x minus 8
C
y is equal to 1 third x
D
y is equal to 3 x
12

Which equation represents the line that passes through negative 6 comma 7 and negative 3 comma 6 ?

A
y is equal to negative 3 x plus 25
B
y is equal to negative 3 x minus 11 y
C
y is equal to negative 1 third x plus 9
D
y is equal to negative 1 third x plus 5
15

Which equation represents a line that passes through 2 comma negative 1 half and has a slope of 3 ?

A
y plus 1 half is equal to 3 times open paren x minus 2 close paren
B
y minus 3 is equal to 2 times open paren x plus 1 half close paren
C
y minus 2 is equal to 3 times open paren x plus 1 half close paren
D
y plus 1 half is equal to 2 times open paren x minus 3 close paren
16

What is a correct first step in solving the inequality negative 4 times open paren 3 minus 5 x close paren is greater than or equal to negative 6 x plus 9 ?

A
negative 12 plus 20 x is greater than or equal to negative 6 x plus 9
B
negative 12 minus 20 x is greater than or equal to negative 6 x plus 9
C
negative 12 minus 20 x is less than or equal to negative 6 x plus 9
D
negative 12 plus 20 x is less than or equal to negative 6 x plus 9
17

What is the rate of change for the function represented in the table?

A
1 point 50 dollars per book
B
1 point 07 dollars per book
C
0 point 67 dollars per book
D
0 point 50 dollars per book
18

Which is an equivalent equation solved for y ?

A
y is equal to a minus pi x
B
y is equal to a pi x y
C
y is equal to a plus pi x
D
y is equal to a divided by pi x
19

Which equation represents the graphed function?

A
2 x minus 3 is equal to y
B
3 halves x minus 3 is equal to y
C
negative 2 thirds x plus 2 is equal to y
D
negative 3 x plus 2 is equal to y
20

What is the constant of variation for the subscription cost based on the number of weeks?

A
7 point 5 0 dollars
B
30 point 0 0 dollars
C
1 point 5 0 dollars
D
15 point 0 0 dollars

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