**Question 1:**
Which statement best explains whether the data in the following table represents a linear or nonlinear function?

| x | y |
|----|-----|
| -4 | 4 |
| -1 | 2.5 |
| 0 | 2 |
| 4 | 4 |

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

**Question 2 (Worth 2 points):**
Which of the following tables represents a linear function?

| x | y |
|----|-----|
| -2 | 5 |
| -1 | 2 |
| 0 | 1 |
| 1 | 2 |
| 2 | 5 |

| x | y |
|----|-----|
| -2 | 5 |
| -1 | 3 |
| 0 | 1 |
| 1 | -1 |
| 2 | -3 |

| x | y |
|----|-----|
| 3 | -2 |
| 3 | -1 |
| 0 | 0 |
| 3 | 1 |
| 3 | 2 |

| x | y |
|----|-----|
| 0 | 0 |
| 1 | -1 |
| 2 | 2 |
| 3 | -3 |
| 4 | 4 |

**Question 3 (Worth 2 points):**
Which of the following graphs represents a linear function?

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

**Question 4 (Worth 2 points):**
Which statement best explains whether the following graph represents a linear or nonlinear function?

- Coordinate plane with a graph that passes through the points (-3, 0), (-1, 4), (1, 4), and (3, 0).

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.

**Question 5 (Worth 2 points):**
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.

**Question 6 (Worth 2 points):**
Which of the following equations represents a linear function?

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

**Question 7 (Worth 2 points):**
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.