Quiz about Substitution and Elimination Practice

Question 1

Which method would be best (quickest) for solving the system below:

2x + 2y = 11

3x - 4y = -2

Accepted Answer

Elimination

Answer

Substitution

Answer

Graphing

Answer

None of these

Question 2

Solve the system using substitution:

x + y = 19

y = 3x - 1

Accepted Answer

(5, 14)

Answer

(14, 5)

Answer

(11, 8)

Answer

(8, 11)

Question 3

What is the solution to the system?

Accepted Answer

(1, 3)

Answer

(0, 3)

Answer

(1, -1)

Answer

(-3, 1)

Question 4

When does a system of equations have no solutions?

Accepted Answer

When the slopes are the same

Answer

When the lines cross

Answer

When slopes of the lines are different

Answer

There is ALWAYS a solution sir!

Question 5

Solve the system using elimination:

3x + y = 19

2x - y = 6

Accepted Answer

(5, 4)

Answer

(5, 14)

Answer

(4, 5)

Answer

(14, 5)

Question 6

Which method would be best (quickest) for solving the system below:
3x - 4y = -2
y = 2x + 1

Accepted Answer

Substitution

Answer

Elimination

Answer

Graphing

Answer

None

Question 7

Solve the system:
x + 6y = 17
x - 3y = 8

Accepted Answer

(11, 1)

Answer

(5, 2)

Answer

(1, 11)

Answer

no solution

Question 8

Solve the system using elimination:

2x + 3y = -2

3x - 2y = 23

Accepted Answer

(5, -4)

Answer

(-4, 5)

Answer

(-5, 4)

Answer

infinite solutions

Question 9

Solve the system using substitution:

y = -1x - 5

4x - 8y = 4

Accepted Answer

(-3, -2)

Answer

(5, -7)

Answer

(3, 9)

Answer

(-5, 4)

Question 10

Solve the systems using substitution:

y = 7x + 9

2y + 2x = -18

Accepted Answer

(-2, -5)

Answer

(5, 0)

Answer

(9, 18)

Answer

(1, 16)

Question 11

Solve the system using substitution:

x = -3y - 17

2x + 3y = -7

Accepted Answer

(10 , -9)

Answer

(1, -20)

Answer

(3, 0)

Answer

(-5, -2)

Question 12

Solve the system using elimination

3x+y=-5

6x+2y=10

Accepted Answer

No Solution

Answer

Infinite Number of Solutions

Answer

(2,3)

Answer

(6,-2)

Question 13

Solve the system using substitution

y=8x+1

y=6x+3

Accepted Answer

(1, 9)

Answer

(4, 14)

Answer

(0, 1)

Answer

(2, 4)

Question 14

Which variable will be eliminated?

Accepted Answer

x

Answer

y

Question 15

What is the solution?

Accepted Answer

(1, -1)

Answer

(-1, 1)

Answer

(0, -2)

Answer

(2, 0)

Question 16

Given the equation
4x + 2y = 10
What is the slope-intercept form of this equation?

Accepted Answer

y = -2x + 5

Answer

y = 2x + 5

Answer

y = 4x + 10

Answer

y = -2x - 10

Question 17

Find x and y using the elimination method
2x+3y=7
2x+7y=11

Accepted Answer

x=2, y=1

Answer

x=-2, y=-1

Answer

x=2, y=-1

Answer

x=-2, y=1

Question 18

Solve the system of equations using substitution

y = -6

-3x - 6y = 24

Accepted Answer

(4, -6)

Answer

(6, 6)

Answer

(6, -6)

Answer

(-6, 4)

Question 19

Does the system have one, none or infinite solutions?

y = 2x -11

y = 2x +5

Accepted Answer

None

Answer

One

Answer

Infinitely many solutions

Question 20

What would be the first step in finding the solution using elimination?

2x + 2y = -2

3x - 2y = 12

Accepted Answer

Add the like terms. The y terms will cancel out.

Answer

you cannot solve this using elimination

Answer

cross out the 2x and 3x

Answer

change to slope intercept form and graph

Substitution and Elimination Practice

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