**Question 1:**

Which of the following tables represents a linear function?

A.
x: 1, 1, 0, 1, 1
y: -2, -1, 0, 1, 2

B.
x: 0, 1, 2, 3, 4
y: -3, 2, 0, -2, 3

C.
x: -2, -1, 0, 1, 2
y: 2, 0, -1, 0, 2

D.
x: -2, -1, 0, 1, 2
y: 3, 1, -1, -3, -5

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**Question 2:**

Which statement best explains whether the data in the following table represents a linear or nonlinear function?

x | y
---|---
-4 | 3
-1 | 1.5
0 | 1
4 | -1

A. The table represents a linear function because the graph shows a constant rate of change.
B. The table represents a nonlinear function because the graph does not show a constant rate of change.
C. The table represents a nonlinear function because the graph shows a rate of change that is decreasing.
D. The table represents a linear function because the graph shows a rate of change that is increasing.

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**Question 3:**

Which statement best explains whether the following table represents a linear or nonlinear function?

x | y
---|---
-2 | 4
-1 | 2
0 | 0
1 | 2
2 | 4

A. The table represents a nonlinear function because there is not a constant rate of change in the input values.
B. The table represents a nonlinear function because there is not a constant rate of change in the output values.
C. The table represents a linear function because there is a constant rate of change in the input and output values.
D. The table represents a linear function because there is not a constant rate of change in the input and output values.

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**Question 4:**

Which statement best explains whether the following graph represents a linear or nonlinear function?

Coordinate plane with a graph drawn that passes through the points (-1, 0), (0, -2), and (1, -4).

A. The graph represents a nonlinear function because there is a constant rate of change.
B. The graph represents a nonlinear function because the rate of change is not constant.
C. The graph represents a linear function because there is a constant rate of change.
D. The graph represents a linear function because the rate of change is not constant.

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**Question 5:**

Which of the following equations represents a linear function?

A. 2x - 4 = 6
B. x = -2
C. \(y = \frac{1}{2} x^2\)
D. \(y = \frac{2}{3} x + 4\)

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**Question 6:**

Which statement best explains whether the equation \(y = \frac{1}{2} x - 2\) represents a linear or nonlinear function?

A. The equation represents a nonlinear function because it has an independent and a dependent variable, each with an exponent of 1.
B. The equation represents a nonlinear function because its graph contains the points (-1, -2), (0, 0), and (1, 2), which are not on a straight line.
C. The equation represents a linear function because it has an independent and a dependent variable, each with an exponent of 1.
D. The equation represents a linear function because its graph contains the points (-1, -2), (0, 0), and (1, 2), which are on a straight line.

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**Question 7:**

Which of the following graphs represents a linear function?

A. Coordinate plane with a graph that passes through the points (-2, 0), (0, -2), (2, 0), and (0, 2)
B. Coordinate plane with a graph drawn that passes through the points (-1, -2), (-1, -1), and (-1, 0)
C. Coordinate plane with a graph drawn that passes through the points (-1, 4), (0, 1), and (1, -2)
D. Coordinate plane with a graph that passes through the points (-3, 0), (-1, 4), (1, 4), and (3, 0)