Quiz about Systems of Equation

Question 1

7x+4y =12
x + 2y = -4

Accepted Answer

(4,-4)

Answer

(-4,4)

Answer

(4,4)

Answer

(-4,-4)

Question 2

x + 2y = -4
x - 2y = 8

Accepted Answer

(2,-3)

Answer

(2,5)

Answer

(2,-2)

Answer

(-3,2)

Question 3

7x - 2y = 6
x - 2y = -6

Accepted Answer

(2,4)

Answer

(3,-2)

Answer

(1,2)

Answer

(-2,-4)

Question 4

x-4y = 16
5x + 4y = 8

Accepted Answer

(4,-3)

Answer

(-3,4)

Answer

(4,3)

Answer

(3,-4)

Question 5

5x - 2y = 6
x - 2y = -2

Accepted Answer

(2,2)

Answer

(2,1)

Answer

(1,2)

Answer

(-2,-2)

Question 6

x + y = 3
3x - y = 1

Accepted Answer

(1,2)

Answer

(2,1)

Answer

(-1,2)

Answer

(-2,-1)

Question 7

x -2y = -2
3x - 2y = 6

Accepted Answer

(4,3)

Answer

(-3,4)

Answer

(-2,-3)

Answer

(-3,-4)

Question 8

3x - 2y = -8
5x + 2y = -8

Accepted Answer

(-2,1)

Answer

(1,-4)

Answer

(-1,-4)

Answer

(-4,1)

Question 9

x - 4y = -4
x + 2y = 8

Accepted Answer

(4,2)

Answer

(2,2)

Answer

(2,-2)

Answer

(4,-2)

Question 10

x - 2y = 4
3x +2y = 4

Accepted Answer

(2,-1)

Answer

(-2,-1)

Answer

(4,-1)

Answer

(4,1)

Question 11

x - 2y = 4
2x -y = -1

Accepted Answer

(-2,-3)

Answer

(-3,-2)

Answer

(2,3)

Answer

(3,2)

Question 12

5x + 3y = 6
x - 3y = 12

Accepted Answer

(3,-3)

Answer

(3,3)

Answer

(-3,-3)

Answer

(3,-2)

Question 13

x - y = -2
y = -2

Accepted Answer

(-4,-2)

Answer

(1,-2)

Answer

(-1,-2)

Answer

(4,-2)

Question 14

2x - 3y = 6
7x - 3y = -9

Accepted Answer

(-3,-4)

Answer

(3,4)

Answer

(4,-3)

Answer

(-4,-3)

Question 15

3x + y = 4
x + 2y = -2

Accepted Answer

(2,-2)

Answer

(2,2)

Answer

(-2,-2)

Answer

(-2,2)

Question 16

2x + y = -3
x - 2y = -4

Accepted Answer

(-2,1)

Answer

(1,-2)

Answer

(2,1)

Answer

(1,2)

Question 17

x = - 3
2x + 3y = 6

Accepted Answer

(-3,4)

Answer

(4,3)

Answer

(-4,3)

Answer

(3,-4)

Question 18

x + 4y = -8
5x - 4y = -16

Accepted Answer

(-4,-1)

Answer

(4,1)

Answer

(1,4)

Answer

(-1,-4)

Question 19

2x - 3y = 6
7x - 3y = -9

Accepted Answer

(-3,-4)

Answer

(3,4)

Answer

(-4,-3)

Answer

(4,3)

Question 20

5x - 4y = =-16
x+ 2y = -6

Accepted Answer

(-4,-1)

Answer

(5,-1)

Answer

(-5,-1)

Answer

(4,1)

Question 21

What is the solution?

Accepted Answer

(1, -1)

Answer

(-1, 1)

Answer

(0, -2)

Answer

(2, 0)

Question 22

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?

Accepted Answer

1.5x+0.5y=78.5
x+y=87

Answer

1.5x+0.5y=78.5
1.5x+0.5y=87

Answer

x+y=78.5
1.5x+0.5y=87

Answer

x+y=78.5
x+y=87

Question 23

What is the solution to the system?

Accepted Answer

(1, 3)

Answer

(0, 3)

Answer

(1, -1)

Answer

(-3, 1)

Question 24

If a system of equations has no solution, what does the graph look like?

Accepted Answer

parallel lines

Answer

intersecting lines

Answer

skew lines

Answer

intersecting lines

Question 25

Solve the system by graphing:
y = -1/3 x - 4
y = 2x + 3

Accepted Answer

(-3, -3)

Answer

(3, 3)

Answer

(3, -3)

Answer

(3, 0)

Question 26

This system has _____ solutions

Accepted Answer

0

Answer

1

Answer

2

Answer

Infinitely many

Question 27

Christian had brochures printed for a new business venture. Christian originally ordered 4 boxes of black-and-white brochures and 3 boxes of color brochures, which cost a total of $134. After those ran out, Christian spent $120 on 3 boxes of black-and-white brochures and 3 boxes of color brochures. Which system represents this situation?

Accepted Answer

4x+3y=134
3x+3y=120

Answer

x+y=134
x+y=120

Answer

3x+3y=134
4x+3y=120

Answer

7xy=134
6xy=120

Question 28

This system has _____ solutions

Accepted Answer

1

Answer

0

Answer

2

Answer

Infinitely many

Question 29

What is the solution to this system?
y= 4x + 3
2x - 3y = 21

Accepted Answer

(-3,-9)

Answer

(3,-9)

Answer

(-3,9)

Answer

(0,1)

Question 30

What is the solution to this system?
x= 7 - 2y
2x + y = 5

Accepted Answer

(1,3)

Answer

(-1,4)

Answer

(4,-1)

Answer

(3,1)

Question 31

What is the solution to this system?
y = x + 5
4x + y = 20

Accepted Answer

(3,8)

Answer

(8,3)

Answer

(0,2)

Answer

(2,0)

Question 32

What is the solution to this system?
y = 2x + 1
y = 4x - 1

Accepted Answer

(1,3)

Answer

(-1,-3)

Answer

(-1,3)

Answer

(3,1)

Question 33

What is the solution to this system?
y = 4x + 1
3x + 2y = 13

Accepted Answer

(1, 5)

Answer

(5, 1)

Answer

(0.25, 2)

Answer

(-1,5)

Question 34

What is the solution to this system?
y = x
3x - 2y = 3

Accepted Answer

(3,3)

Answer

(1,1)

Answer

(-2,0)

Answer

(0,-2)

Question 35

What is the solution to the system of equations?
y = 3x - 8
y = 4 - x

Accepted Answer

(3,1)

Answer

(1,3)

Answer

(-3,1)

Answer

(3,-1)

Question 36

What is the solution to the system?
x - 2y = 2
3x + 4y = 3

Accepted Answer

(1.4, -0.3)

Answer

(3.1, 5)

Answer

(-2.5, 3.5)

Answer

(6.9, 1.02)

Question 37

What is the solution to this system?
y = 6x - 11
-2x - 3y = -7

Accepted Answer

(2,1)

Answer

(1,2)

Answer

(-1,2)

Answer

(-2,1)

Question 38

Solve the system of equations.
x + 2y = -3
x - y = -12
What is the product of x and y?

Accepted Answer

-27

Answer

-35

Answer

45

Answer

54

Question 39

Solve using substitution.
2x - 2y = 2
y = -5x + 14
What is the sum of x and y?

Accepted Answer

4

Answer

9

Answer

6.5

Answer

3.25

Question 40

CHALLENGE: Three equations.
x + y + z = 4
x = -2y
z = -3y
Solve the system of equations using substitution.

Accepted Answer

x = 2
y = -1
z = 3

Answer

x= -5
y = 3
z = 1

Answer

x = 10
y = -2
z = 0

Answer

x= 4
y = 1
z = -1

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