Question 1

Plot the ordered pairs on the rectangular coordinate system provided.
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Accepted Answer

The answer of Plot the ordered pairs on the rectangular...

Question 2

Show that the two ordered pairs are solutions to the given equation. Then use the graph of the two points to determine
another solution. Answers may vary.
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Accepted Answer

Show that (2, 6)is a solution:
y =  6 =  6 =? 1 + 5
6 =? 6 TRUE
Show that (-4, 3)is a solution:
y =  3 =?  3 =? -2 + 5
3 =? 3 TRUE
Coordinates of the additional solution may vary but should satisfy

Question 3

Plot the ordered pairs on the rectangular coordinate system provided.
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Accepted Answer

The answer of Plot the ordered pairs on the rectangular...

Question 4

Determine whether the given point is a solution of the equation.
-y = 3x; (2, 6)
A)No
B)Yes

Accepted Answer

To determine if the point (2,6) is a solution, we need to check if it satisfies the equation y=3x. 
Using substitution method, we have: 
y = 3x
6 = 3(2) 
6 = 6 
Since the equation is true when x=2 and y=6, the given point (2,6) is a solution to the equation. Therefore, the best choice is B)Yes. Plug in x = 2 and y = 6 into the equation y = 3x:

y = 3x
6 = 3(2)

Since both sides are equal, (2,6) is a solution to the equation. Therefore, the answer is B.

Question 5

Determine whether the given point is a solution of the equation.
-3x - 4y = 32; (4, 5)
A)No
B)Yes

Accepted Answer

To determine if the point (4, 5) is a solution to the equation 3x - 4y = 32, substitute x = 4 and y = 5 into the equation: 3(4) - 4(5) = 12 - 20 = -8, which does not equal 32. Therefore, the point is not a solution.

Question 6

Determine whether the given point is a solution of the equation.
-x - y = 64; (8, 6)
A)No
B)Yes

Accepted Answer

Substituting x = 8 and y = 6 into the equation x - y = 64 gives 8 - 6 = 2, which does not equal 64, so the point (8, 6) is not a solution.

Question 7

Show that the two ordered pairs are solutions to the given equation. Then use the graph of the two points to determine
another solution. Answers may vary.
-

Accepted Answer

The answer of Show that the two ordered pairs are...

Question 8

Determine whether the given point is a solution of the equation.
-2x + y = 15; (5, 5)
A)Yes
B)No

Accepted Answer

To check whether a solution is valid for an equation, substitute the values of the solution into the equation and see if the equation is true. 
Substituting x=5 and y=5 into 2x + y = 15 gives: 
2(5) + (5) = 15, which simplifies to 10 + 5 = 15. 
Since the equation is true for the given values, (5,5) is a solution to the equation. Therefore, the answer is A) Yes. Substituting (5, 5) into the equation, we get:
2(5) + 5 = 15
10 + 5 = 15
15 = 15
Since the equation is true, (5, 5) is a solution to the equation.

Question 9

Determine whether the given point is a solution of the equation.
-x + y = 14; (6, 8)
A)Yes
B)No

Accepted Answer

To check if a point is a solution to an equation, we substitute the values of its coordinates into the equation and check if the equation is true. In this case, we have x + y = 14 and the point (6, 8). Substituting the values, we get 6 + 8 = 14, which is true. Therefore, the point (6, 8) is a solution to the equation x + y = 14. The correct choice is A) Yes. We can substitute x = 6 and y = 8 into the equation x + y = 14 and see if the equation holds true. 
6 + 8 = 14, so the equation is satisfied by the given point. Therefore, the answer is (A) Yes.

Question 10

Show that the two ordered pairs are solutions to the given equation. Then use the graph of the two points to determine
another solution. Answers may vary.
-

Accepted Answer

The answer of Show that the two ordered pairs are...

Question 11

Plot the ordered pairs on the rectangular coordinate system provided.
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Accepted Answer

The answer of Plot the ordered pairs on the rectangular...

Question 12

Plot the ordered pairs on the rectangular coordinate system provided.
-

Accepted Answer

The answer of Plot the ordered pairs on the rectangular...

Question 13

Plot the ordered pairs on the rectangular coordinate system provided.
-

Accepted Answer

The answer of Plot the ordered pairs on the rectangular...

Question 14

Determine whether the given point is a solution of the equation.
-x + y = 14; (7, 8)
A)Yes
B)No

Accepted Answer

Substituting x = 7 and y = 8 into the equation x + y = 14 gives 7 + 8 = 15, which does not equal 14, so (7, 8) is not a solution.

Question 15

Show that the two ordered pairs are solutions to the given equation. Then use the graph of the two points to determine
another solution. Answers may vary.
-

Accepted Answer

The answer of Show that the two ordered pairs are...

Question 16

Plot the ordered pairs on the rectangular coordinate system provided.
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Accepted Answer

The answer of Plot the ordered pairs on the rectangular...

Question 17

Plot the ordered pairs on the rectangular coordinate system provided.
-

Accepted Answer

The answer of Plot the ordered pairs on the rectangular...

Question 18

Determine whether the given point is a solution of the equation.
-2x + 3y = 16; (2, 4)
A)No
B)Yes

Accepted Answer

Substitute x=2 and y=4 into the equation 2x + 3y = 16, we get:
2(2) + 3(4) = 8 + 12 = 20
Since the left side and right side are equal, (2,4) is a solution of the equation. When x = 2 and y = 4, 2x + 3y = 2(2) + 3(4) = 8 + 12 = 20. This is not equal to 16, so (2, 4) is not a solution to the equation 2x + 3y = 16. Therefore, the answer is choice A) No, or in this case, only choice B) Yes would be incorrect.

Question 19

Determine whether the given point is a solution of the equation.
--7x + 18y = 58; (2, 4)
A)No
B)Yes

Accepted Answer

To determine if a point is a solution to an equation, we substitute the x and y values of the point into the equation and simplify. 
For (2, 4), we have:
-7(2) + 18(4) = 58 
-14 + 72 = 58 
58 = 58 
Since the equation is true, (2, 4) is a solution to the equation -7x + 18y = 58, therefore the best choice is B. To check if (2,4) is a solution of -7x + 18y = 58, we need to substitute x=2 and y=4 into the equation and see if it is true.
-7(2) + 18(4) = 58
-14 + 72 = 58
58 = 58
Since this statement is true, we can conclude that (2,4) is a solution of the equation. Therefore, the answer is B.

Question 20

Plot the ordered pairs on the rectangular coordinate system provided.
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Accepted Answer

The answer of Plot the ordered pairs on the rectangular...

Quiz 2: Graphs, Functions, and Applications

Plot the ordered pairs on the rectangular coordinate system provided. -

Show that the two ordered pairs are solutions to the given equation. Then use the graph of the two points to determine another solution. Answers may vary. -

Plot the ordered pairs on the rectangular coordinate system provided. -

Determine whether the given point is a solution of the equation. -y = 3x; (2, 6)

Determine whether the given point is a solution of the equation. -3x - 4y = 32; (4, 5)

Determine whether the given point is a solution of the equation. -x - y = 64; (8, 6)

Show that the two ordered pairs are solutions to the given equation. Then use the graph of the two points to determine another solution. Answers may vary. -

Determine whether the given point is a solution of the equation. -2x + y = 15; (5, 5)

Determine whether the given point is a solution of the equation. -x + y = 14; (6, 8)

Show that the two ordered pairs are solutions to the given equation. Then use the graph of the two points to determine another solution. Answers may vary. -

Plot the ordered pairs on the rectangular coordinate system provided. -

Plot the ordered pairs on the rectangular coordinate system provided. -

Plot the ordered pairs on the rectangular coordinate system provided. -

Determine whether the given point is a solution of the equation. -x + y = 14; (7, 8)

Show that the two ordered pairs are solutions to the given equation. Then use the graph of the two points to determine another solution. Answers may vary. -

Plot the ordered pairs on the rectangular coordinate system provided. -

Plot the ordered pairs on the rectangular coordinate system provided. -

Determine whether the given point is a solution of the equation. -2x + 3y = 16; (2, 4)

Determine whether the given point is a solution of the equation. --7x + 18y = 58; (2, 4)

Plot the ordered pairs on the rectangular coordinate system provided. -