Practice Test Answers

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1
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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 4 comma 1 close paren ?

A
y minus 1 is equal to 2 times open paren x minus 4 close paren
B
y minus 1 is equal to negative 1 half times open paren x minus 4 close paren
C
y minus 1 is equal to negative 2 times open paren x minus 4 close paren
D
y minus 1 is equal to 1 half times open paren x minus 4 close paren
2
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Which statement best explains the relationship between lines PQ and RS ?

A
They are not parallel because their slopes are not equal.
B
They are parallel because their slopes are equal.
C
They are not parallel because their slopes are negative reciprocals.
D
They are parallel because their slopes are negative reciprocals.
3

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 1 .
B
a is equal to 22 because the rate of change is negative 1 .
C
a is equal to 20 because the rate of change is negative 3 .
D
a is equal to 20 because the rate of change is 3 .
4

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 does not represent a direct variation because it does not go through the origin.
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 represents a direct variation because it is horizontal.
6

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
3y is equal to minus 5x plus 10
B
5x plus 3y is equal to 10
C
y is equal to negative 5 thirds x plus 10 thirds
D
3x plus 15y is equal to 30
E
y is equal to minus 5 thirds x minus 2
7

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 1 is equal to 6 x
B
y minus 7 is equal to 2 x minus 6
C
y minus 1 is equal to 3 x
D
y minus 7 is equal to x minus 2
8

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 6' Row 4: Column 1, '3'; Column 2, 'negative 2' Row 5: Column 1, '4'; Column 2, 'negative 6'
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 5' Row 4: Column 1, '3'; Column 2, 'negative 9' Row 5: Column 1, '4'; Column 2, 'negative 14'
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 10' Row 4: Column 1, '3'; Column 2, 'negative 18' Row 5: Column 1, '4'; Column 2, 'negative 26'
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 4' Row 4: Column 1, '3'; Column 2, 'negative 8' Row 5: Column 1, '4'; Column 2, 'negative 16'
10

Which equation can be used to represent "six added to twice the sum of a number and four is equal to one-half of the difference of three and the number”?

A
open paren 6 plus 2 close paren times open paren x plus 4 close paren is equal to 1 half times open paren x minus 3 close paren
B
6 plus 2 times open paren x plus 4 close paren is equal to 1 half times open paren x minus 3 close paren
C
6 plus 2 times open paren x plus 4 close paren is equal to 1 half times open paren 3 minus x close paren
D
open paren 6 plus 2 close paren times open paren x plus 4 close paren is equal to 1 half times open paren 3 minus x close paren
12

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 plus 12 is equal to negative 5 times open paren x minus 2 close paren
B
y minus 12 is equal to 2 times open paren x plus 2 close paren
C
y minus 12 is equal to negative 5 times open paren x plus 2 close paren
D
y plus 12 is equal to 2 times open paren x minus 2 close paren
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 minus 12
B
f of x is equal to 1 half x minus 10
C
f of x is equal to 1 half x plus 4
D
f of x is equal to 1 half x plus 6
14

What is the solution to negative 4 times open paren 8 minus 3 x close paren is greater than or equal to 6 x minus 8 ?

A
x is less than or equal to negative 4 thirds
B
x is less than or equal to 4
C
x is greater than or equal to 4
D
x is greater than or equal to negative 4 thirds
15

Hiroshi spends 30 minutes on history homework, 60 minutes on English homework, and x minutes on math homework. One fourth of his total homework time is spent on math. Which equation can be used to find the amount of time Hiroshi spends on his math homework?

A
1 fourth times x is equal to x times open paren 30 plus 60 close paren
B
1 fourth times open paren x plus 30 plus 60 close paren is equal to x
C
1 fourth x open paren 30 plus 60 close paren is equal to x
D
1 fourth times x is equal to open paren 30 plus 60 close paren
16

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 less steep and has a higher y -intercept.
B
The line of g of x is steeper and has a higher y -intercept.
C
The line of g of x is less steep and has a lower y -intercept.
D
The line of g of x is steeper and has a lower y -intercept.
19

What interval includes all possible values of x , where negative 3 times open paren 6 minus 2 x close paren is greater than or equal to 4 x plus 12 ?

A
left parenthesis negative infinity comma negative 3 right bracket
B
left bracket negative 3 comma infinity right parenthesis
C
left bracket 15 comma infinity right parenthesis
D
left parenthesis negative infinity comma 15 right bracket
20

Consider the equation 5 thirds v plus 4 plus 1 third v is equal to 8 What is the resulting equation after the first step in the solution?

A
5 thirds v plus 4 is equal to 8 minus 1 third v
B
2 v plus 4 is equal to 8
C
4 plus v is equal to 8 minus 5 thirds v
D
4 thirds v plus 4 is equal to 8

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