Solving Equations with Elimination
Authored by Anthony Clark
Mathematics
9th Grade
CCSS covered
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10 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which variable would be easiest to eliminate?
x
y
Neither
Answer explanation
The terms with x in them have opposite coefficients (4x and -4x), so they will be the easiest to eliminate when we add the equations together.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve the following using elimination.
(10,-1)
(-1,10)
(-1,-10)
(-10,-1)
Answer explanation
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve using Elimination:
5x + y = 9
10x − 7y = −18
(4, -11)
(1, 4)
(-1, 14)
(-4, 29)
Answer explanation
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
7x - y = 10
-7x + y = -14
No Solution
(4, 1)
Infinitely Many Solutions
(2, -4)
Answer explanation
7x - y = 10
-7x + y = -14
All of the like terms have opposite coefficients, so both variables will be eliminated when we add the equations together. We cannot eliminate one without the other.
We are left with:
0=-4
This is a contradiction (false), so there is NO SOLUTION.
Tags
CCSS.8.EE.C.8B
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve by elimination
-6x + 5y = 1
6x + 4y = -10
(-1,7/5)
(0,-1)
(1,1)
(-1,-1)
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve by elimination:
4x+9y=28
-4x-y=-28
(-7,0)
(6,0)
(-6,0)
(7,0)
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve by elimination:
7x+y=-9
-3x-y=5
No solution
(1,8)
(-1,-3)
(-1,-2)
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
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