Which table contains solutions to the equation x − 2y = 4?

A.
x
y
0
-2
1
-1
2
0
3
1
C.
x
y
4
0
3
1
2
2
1
1
B.
x
y
0
-2
2
-1
4
0
6
1
D.
x
y
0
2
2
1
4
0
6
-1

A.
Incorrect. In order to be a solution, each ordered pair in the table must make the equation true.

B.
Correct! Each ordered pair in the table makes the equation true.

C.
Incorrect. In order to be a solution, each ordered pair in the table must make the equation true.

D.
Incorrect. In order to be a solution, each ordered pair in the table must make the equation true.


Which ordered pair is NOT a solution to the equation 2x + 3y = 12?

A. (2, 3)
Correct! When you substitute 2 in for the x-value and 3 in for the y-value, the equation is NOT true.

B. (9, -2)
Incorrect. When you substitute 9 in for the x-value and -2 in for the y-value, the equation is true. You are looking for a solution that is NOT true.

C. (-3, 6)
Incorrect. When you substitute -3 in for the x-value and 6 in for the y-value, the equation is true. You are looking for a solution that is NOT true.

D. (-6, 8)
Incorrect. When you substitute -6 in for the x-value and 8 in for the y-value, the equation is true. You are looking for a solution that is NOT true.


The graph of y = 2x + 1 is shown below.

Which coordinate point represents a solution to y < 2x + 1?

A. (0, 1)
Incorrect. You are looking for points that are below the line since that is where the solutions to the inequality will be found.

B. (0, 0)
Correct! This point falls in the region below the line where the solutions to the inequality are found.

C. (0, 2)
Incorrect. You are looking for points that are below the line since that is where the solutions to the inequality will be found.

D. (1, 6)
Incorrect. You are looking for points that are below the line since that is where the solutions to the inequality will be found.


Use the graph of y = 1 3 x + 2 to solve the equation for x when y = 5.

A. x = -6
Incorrect. If you draw a horizontal line at y = 6, it would intersect the given graph at x = 9.

B. x = 2
Incorrect. If you draw a horizontal line at y = 6, it would intersect the given graph at x = 9.

C. x = 6
Incorrect. If you draw a horizontal line at y = 6, it would intersect the given graph at x = 9.

D. x = 9
Correct! If you draw a horizontal line at y = 6, it would intersect the given graph at x = 9.


The graph of y = 2 3 x − 4 is shown below.

Which coordinate point represents a solution to y2 3 x − 4?

A. (0, 1)
Correct! This point falls in the region above the line where the solutions to the inequality are found.

B. (0, -6)
Incorrect. You are looking for points that are above the line since that is where the solutions to the inequality will be found.

C. (8, 0)
Incorrect. You are looking for points that are above the line since that is where the solutions to the inequality will be found.

D. (0, -8)
Incorrect. You are looking for points that are above the line since that is where the solutions to the inequality will be found.