AnswersAlgebra Concepts and ConnectionsModeling Linear Functions: Part Two

Practice Test Answers

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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 2 miles per minute.
B
Tracie’s bus travels away from her home at an average speed of 2 miles per minute.
C
Tracie’s bus travels away from her home at an average speed of 1 half mile per minute.
D
Tracie’s bus travels towards her home at an average speed of 1 half mile per minute.
2
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Which two expressions are both equivalent to t , the total number of grams of silver in the mixture?

A
15 times 0 point 7 5 and 0 point 7 open paren 15 minus x close paren 0 point 9
B
15 plus 0 point 7 5 and 0 point 7 open paren 15 minus x close paren 0 point 9 x
C
15 plus 0 point 7 5 and 0 point 7 times open paren 15 minus x close paren plus 0 point 9 x
D
15 times 0 point 7 5 and 0 point 7 times open paren 15 minus x close paren plus 0 point 9 x
3

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

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 a line passing through (negative 2, 0) and (0, negative 1).
B
Image with description A coordinate plane with a line passing through (negative 3, negative 4) and (5, 0).
C
Image with description A coordinate plane with a line passing through (0, negative 2) and (4, 0).
D
Image with description A coordinate plane with a line passing through (0, 0.5) and (1, negative 1.5).
5

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 less steep and has a higher y -intercept.
D
The line of g of x is steeper and has a lower y -intercept.
6

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 20 because the rate of change is 3 .
B
a is equal to 22 because the rate of change is 1 .
C
a is equal to 20 because the rate of change is negative 3 .
D
a is equal to 22 because the rate of change is negative 1 .
8

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 10
B
f of x is equal to 1 half x plus 4
C
f of x is equal to 1 half x minus 12
D
f of x is equal to 1 half x plus 6
11

What is the explicit formula for the arithmetic sequence 4 fifths comma 29 over 30 comma 17 over 15 comma 13 tenths ?

A
A sub n is equal to 1 sixth plus 4 fifths times open paren n minus 1 close paren
B
A sub n is equal to 4 fifths plus 1 sixth times open paren n minus 1 close paren
C
A sub n is equal to 4 fifths plus open paren negative 1 sixth close paren times open paren n minus 1 close paren
D
A sub n is equal to negative 1 sixth plus 4 fifths times open paren n minus 1 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 plus 12 is equal to 2 times open paren x minus 2 close paren
C
y minus 12 is equal to 2 times open paren x plus 2 close paren
D
y minus 12 is equal to negative 5 times open paren x plus 2 close paren
13

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 with a vertical line passing through (negative 2, negative 4), (negative 2, 0) and (negative 2, 4).
B
Image with description A coordinate plane with a vertical line passing through (1, negative 4), (1, 0) and (1, 4).
C
Image with description A coordinate plane with a horizontal line passing through (negative 4, negative 3), (0, negative 3) and (4, negative 3).
D
Image with description A coordinate plane with a horizontal line passing through (negative 4, 4), (0, 4) and (negative 4, 4).
14

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 it is horizontal.
C
The line represents a direct variation because negative 4 thirds is equal to 4 thirds .
D
The line does not represent a direct variation because negative 4 times 3 is not equal to 4 times 3 .
18

What is the rate of change of the function?

A
negative 1 third
B
3
C
1 third
D
negative 3
19

The given table represents the amount of money in Sylvester’s bank account as a function of the number of years since he opened the account. Does this situation represent a linear or non-linear function, and why?

A
It represents a non-linear function because there is a constant rate of change.
B
It represents a non-linear function because there is not a constant rate of change.
C
It represents a linear function because there is a constant rate of change.
D
It represents a linear function because there is not a constant rate of change.

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