Systems Elimination and Word Problems
Authored by Anthony Clark
Mathematics
8th Grade
CCSS covered
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10 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
When applying the elimination method to the system of equations 5x - 2y = 10 and 10x + 2y = 40, what is the resulting equation after the first step?
15x = 50
5x = 15
15x + 4y = 50
10x = 30
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A variable needs to be eliminated to solve the system of equations below. Choose the correct first step.
8x + 9y = −82
-x − 9y = 89
Add to eliminate x
Add to eliminate y
Subtract to eliminate x
Subtract to eliminate y
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A variable needs to be eliminated to solve the system of equations below. Choose the correct first step.
8x + 9y = -24
-8x − y = 16
Add to eliminate x
Add to eliminate y
Subtract to eliminate x
Subtract to eliminate y
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A variable needs to be eliminated to solve the system of equations below. Choose the correct first step.
4x + 9y = 1
4x − 7y = 11
Add to eliminate x
Add to eliminate y
Subtract to eliminate x
Subtract to eliminate y
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A variable needs to be eliminated to solve the system of equations below. Choose the correct first step.
3x + 7y = 14
4x − 7y = 21
Add to eliminate x
Add to eliminate y
Subtract to eliminate x
Subtract to eliminate y
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A variable needs to be eliminated to solve the system of equations below. Choose the correct first step.
-8x + 6y = 12
-8x − 7y = 1
Add to eliminate x
Add to eliminate y
Subtract to eliminate x
Subtract to eliminate y
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve the system by elimination.
−4x − 4y = 0
4x + 4y = 0
(−6, −4)
Infinite number of solutions
(−6, 10)
(6, 4)
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
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