Quiz about Solving Systems with Substitution

Question 1

Solve the following systems of equations using substitution:

x = 6

y = 2x - 3

Accepted Answer

(6, 9)

Answer

(6, 6)

Answer

(9, 6)

Answer

(9, 9)

Question 2

How many solutions does the graph have?

Accepted Answer

One solution

Answer

No solution

Answer

Infinite solutions

Question 3

How many solutions does the graph have?

Accepted Answer

No solution

Answer

One solution

Answer

Infinite solutions

Question 4

How many solutions does the graph have?

Accepted Answer

Infinite solutions

Answer

One solution

Answer

No solution

Question 5

Solve the following systems of equations using substitution:

5x - 2y = 3

y = 2x

Accepted Answer

(3, 6)

Answer

(6, 3)

Answer

(1, 2)

Answer

(2, 1)

Question 6

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 7

What does
"solution to a system of equations"
mean?

Accepted Answer

It's the point that solves both equations at the same time

Answer

It's the point where both equations equal zero

Answer

It's the point where graphs of both equations cross the y-axis

Answer

It's the point where graphs of both equations cross the x-axis

Question 8

Solve the system of equations.

Accepted Answer

(-34, -17)

Answer

(8, 4)

Answer

(10, 20)

Answer

No solution

Answer

Infinite solutions

Question 9

Solve the system of equations.

Accepted Answer

Infinite solutions

Answer

(-6, 1)

Answer

(-12, -12)

Answer

(1, -6)

Answer

No solution

Question 10

Give the solution to the system

Accepted Answer

(1,3)

Answer

(3,1)

Answer

(-1,3)

Answer

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Question 11

Solve:
y=8x+1
y=6x+3

Accepted Answer

(1, 9)

Answer

(4, 14)

Answer

(0, 1)

Answer

(2, 4)

Question 12

What is the solution to this system?
2x + 3y = 4
y= 5x - 27

Accepted Answer

(5,-2)

Answer

(5, 2)

Answer

(2,3)

Answer

(3,2)

Question 13

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 14

Solve this system using substitution

y = 3x - 5

2x + 4y = -6

Accepted Answer

(1, -2)

Answer

(2, -2)

Answer

(1, 2)

Answer

Why have you done this?

Question 15

Solve with substitution

x = -3y - 8

x - 2y = -3

Accepted Answer

(-5,-1)

Answer

(5, -1)

Answer

(-5, 1)

Answer

(1,-5)

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