Quiz about Systems using Substitution

Question 1

y = 2x + 9

x = -3

Accepted Answer

(-3, 3)

Answer

(-3, -33)

Answer

(-3, 8)

Answer

(3, -3)

Question 2

y = 11

y + 4x = 35

Accepted Answer

(6, 11)

Answer

(-9, 11)

Answer

(11, 4)

Answer

(11, -9)

Question 3

6x = y

3y - 4x = 42

Accepted Answer

(3, 18)

Answer

(8, 2)

Answer

(2, 8)

Answer

(1, 6)

Question 4

x = 3y

2x - y =10

Accepted Answer

(6, 2)

Answer

(4, 5)

Answer

(1, 1)

Answer

(5, 8)

Question 5

y = 2x + 3

y = 5x

Accepted Answer

(1, 5)

Answer

(2, 8)

Answer

(1, 1)

Answer

(10, 13)

Question 6

y = x + 1

2x - 3 = y

Accepted Answer

(4, 5)

Answer

(3, 5)

Answer

(5, 4)

Answer

(4, 3)

Question 7

y = 2x - 4

7x - 2y = 5

Accepted Answer

(-1, -6)

Answer

(-1, -8)

Answer

(-2, 6)

Answer

(1, -8),

Question 8

Give the solution to the system

Accepted Answer

(1,3)

Answer

(3,1)

Answer

(-1,3)

Answer

a hoppy hippo

Question 9

^{What is the solution?}

Accepted Answer

(1, -1)

Answer

1

Answer

-2

Answer

(1, 2)

Question 10

Solve the following systems of equations using substitution:

y = 3 - x

3y + x = 5

Accepted Answer

(2, 1)

Answer

No solution

Answer

(1, 2)

Answer

(3, 0)

Question 11

Which answer has a correct first step for this system:

3x + 3y = 3

y = 3x + 5

Accepted Answer

The variable is already isolated for y, so we substitute it in the first equation and solve for x

3x + 3(3x + 5) = 3

Answer

The variable is already isolated, so we've already solved the system.

Answer

Free sha vaca doo

Answer

The variable is already isolated for y, so we substitute it in the second equation and solve for x

y = 3(3x + 3y) = 3

Question 12

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 13

Which system of linear equations represents the graph shown?

Accepted Answer

y=-x-3 and y=x-1

Answer

y=3x+1 and y=x+3

Answer

y=1/3x-1 and y=x-3

Answer

y=x-1 and y=3x-3

Question 14

Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount?

Accepted Answer

y = 9.65x + 43
y = 8.40x + 58

Answer

y = 9.65 + x
y = 8.40 + x

Answer

y =9.65x
y = 8.40x

Answer

y = 9.65x - 43
y = 8.40x - 58

Question 15

1.  The cost of 5 squash and 2 zucchini is $1.32. Three squash and 1 zucchini cost $0.75. Write a system of equations.

Accepted Answer

5q + 2z = 1.32
3q + 1z = 0.75

Answer

5q + 2z = 1.32
1z = 0.75

Answer

q + z = 1.32
q + z = 0.75

Answer

5q + 2z = 0.75
3q + 1z = 1.32

Systems using Substitution

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