AnswersFL-1200310-Algebra 1 ASpecial Linear Relationships

Special Linear Relationships — Unit test Answers

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The table represents a linear equation.

Question illustration
A
y – 6 = (x – 2)
Option A
B
y – 6 = (x – 2)
Option B
C
y + 6 = (x + 2)
Option C
D
y + 6 = (x + 2)
Option D
3

A coordinate plane with 2 lines drawn. The first line is labeled f(x) and passes through the points (0, negative 2) and (1, 1). The second line is labeled g(x) and passes through the points (negative 4, 0) and (0, 2). The lines intersect at about (2.5, 3.2)

Question illustration
A
The slope of g(x) is the opposite of the slope of f(x).
B
The slope of g(x) is less than the slope of f(x).
C
The slope of g(x) is greater than the slope of f(x).
D
The slope of g(x) is equal to the slope of f(x).
5

Timmy writes the equation f(x) = x – 1. He then doubles both of the terms on the right side to create the equation g(x) = x – 2. How does the graph of g(x) compare to the graph of f(x)?

Question illustration
A
The line of g(x) is steeper and has a higher y-intercept.
B
The line of g(x) is less steep and has a lower y-intercept.
C
The line of g(x) is steeper and has a lower y-intercept.
D
The line of g(x) is less steep and has a higher y-intercept.
6

Line QR goes through points Q(0, 1) and R(2, 7). Which equation represents line QR?

A
y – 1 = 6x
B
y – 1 = 3x
C
y – 7 = 2x – 6
D
y – 7 = x – 2
9

At a glance, Kendra believes that the function represented on the graph is linear.

Question illustration
A
She can check to see if the rate of vertical increase equals the rate of horizontal increase between each pair of points.
B
She can check to see if the sum of each y-value and x-value in every ordered pair is the same.
C
She can check to see if the quotient of each y-value and x-value in every ordered pair is the same.
D
She can check to see if the rate of change between the first two ordered pairs is the same as the rate of change between the first and last ordered pairs.
11

Mrs. Jackson gives the table below to her students.

Question illustration
A
a = 22 because the rate of change is 1.
B
a = 20 because the rate of change is 3.
C
a = 22 because the rate of change is –1.
D
a = 20 because the rate of change is –3.
15

A line is drawn through (–4, 3) and (4, 3). Which describes whether or not the line represents a direct variation?

A
The line represents a direct variation because = .
Option A
B
The line represents a direct variation because it is horizontal.
C
The line does not represent a direct variation because it does not go through the origin.
D
The line does not represent a direct variation because –4(3) ≠ 4(3).

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