Which of these images represents the following system of equations being solved graphically?
6x – 6y = -48
-10x + 4y = 92
2. Which of these images represents the following system of equations being solved graphically?
6x – 2y = -16
4x + 4y = -32
3. Which of these images represents the following system of equations being solved graphically?
-6x + 2y = -44
-10x + 2y = -60
4. Which of these images represents the following system of equations being solved graphically?
-4x – 10y = 132
-4x + 2y = 12
5. Which of these images represents the following system of equations being solved graphically?
7x – y = 10
4x + y = 1
6. How many solutions exist for the following system of equations?
-10x – 10y = 20
-10x + 6y = -108
None 1
2 infinitely many
7. How many solutions exist for the following system of equations?
-4x – 6y = -28
2x + 3y = 14
None 1
2 infinitely many
8. How many solutions exist for the following system of equations?
4x – 6y = -52
6x – 2y = -64
none 1
2 infinitely many
9. How many solutions exist for the following system of equations?
4x – 8y = 30
6x – 12y = -64
none 1
2 infinitely many
Part 2
Select the best answer from the choices provided. (Each question is worth one point)
10. In the following system of equations, what does x equal?
0x + 8y = -16
-10x + 8y = 64
x = -8 x = -16
x = -2 x = 0
11. In the following system of equations, what does y equal?
0x + 8y = -16
-10x + 8y = 64
y = -8 y = -16
y = -2 y = 0
12. In the following system of equations, what does y equal?
-2x – 0y = -4
-6x – 2y = -12
y = 2 y = -2
y = -10 y = 0
13. In the following system of equations, what does y equal?
0x + 8y = 16
-2x – 8y = -24
y = -2 y = 2
y = 0 y = 4
14. In the following system of equations, what does y equal?
-8x – 8y = 0
-8x + 8y = -128
y = 8 y = -8
y = -2 y = 0
15. In the following system of equations, what does x equal?
-8x – 8y = 0
-8x + 8y = -128
x = 8 x = -8
x = -2 x = 0
16. In the following system of equations, what does y equal?
-10x – 2y = 56
6x – 2y = -40
y = 6 y = -6
y = 2 y = -2
17. In the following system of equations, what does x equal?
-10x – 2y = 56
6x – 2y = -40
x = 6 x = -6
x = 2 x = -2
18. In the following system of equations, what does x equal?
8x – 8y = 16
4x + 4y = -72
x = -10 x = 10
x = -8 x = 8
Part 3
Select the best answer from the choices provided. (Each question is worth one point)
19. In the following system of equations, what does x equal?
5x + 9y = 0
6x + 6y = 2
x = 3
4
x = -3
4
x = 4
3
x = -4
3
20. In the following system of equations, what does y equal?
2x + 9y = 1
10x + 10y = 0
y = 7 y = -7
y = 1
7
y = -1
7
21. In the following system of equations, what does x equal?
8x + 5y = 5
3x + 3y = 9
x = -10
3
x = 10
3
x = -3
10
x = 3
10
22. In the following system of equations, what does y equal?
8x + 5y = 5
4x + y = 9
y = – 13
9
y = – 13
3
y = 3
13
y = 9
13
Part 4
Type the answer to the question in the textbox below each item. (Each question is worth two points)
23. What is the solution to the following system of equations?
-8x + 8y = -16
2x + 6y = -28
24. What is the solution to the following system of equations?
6x – 4y = -24
-2x + 4y = 24
25. What is the solution to the following system of equations?
-2x – 4y = 28
-4x + 0y = -8