Topic 6-4 : Solving Systems of Equations with Elimination

Topic 6-4 : Solving Systems of Equations with Elimination

School Year 2021-2022

Open Ended

This was #32 on your diagnostic, I think...

How did you go about solving this one?

Multiple Choice

Parallel Lines never intersect because...

• they have the same slopes. 
• they have the same y-intercept.
• they have different slopes.
• they have different y-intercepts. 

Multiple Choice

The solution to this system of equations is:

• (4, 3)
• (3, 4)
• (-4, 3)
• No solution

Multiple Choice

This system has _____ solutions

• no
• 1
• 2
• Infinitely many

Multiple Choice

What is the solution?
(Hint:  Both lines are graphed over each other)

• One Solution
• No solution
• Infinitely Many Solutions

Fill in the Blank

5x - y = 12

3x + y = 4

What is the value of x in the system shown?

Multiple Choice

Solve using Elimination. 
 4x + 8y =  20
-4x + 2y = -30

• (-7,1)
• (2,-5)
• (-2,5)
• (7,-1)

Multiple Choice

What can be done to one of the equations below in order to be able to eliminate a variable?

4x + 3y = 22

2x -y = -14

• Multiply the top equation by 4

• Multiply the top equation by 3

• Multiply the bottom equation by 4

• Multiply the bottom equation by 3

Multiple Choice

What can be done to one of the equations below in order to be able to eliminate a variable?

6x + 4y = 14

-9x - 8y = -25

• Multiply the top equation by 6

• Multiply the top equation by 2

• Multiply the bottom equation by 6

• Multiply the bottom equation by 2

Multiple Select

What can be done to one of the equations below in order to be able to eliminate a variable? Select all options that would work.

-8x + 8 y = 16

4x -2y = 6

• Multiply the top equation by 4

• Multiply the top equation by 2

• Multiply the bottom equation by 4

• Multiply the bottom equation by 2

Multiple Choice

Solve by elimination:

6x - 16y = -8

2x + 8y = -16

• (4, 1)

• (-4, 1)

• (4, -1)

• (-4, -1)

Fill in the Blank

A customer at a concession stand bought 2 boxes of popcorn and 3 drinks for $12. Another customer bought 3 boxes of popcorn and 5 drinks for $19. How much does a box of popcorn cost?