
Systems by 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
Your friend rents 10 chairs and 2 tables for $300. Another friend rents 8 chairs and 4 tables for $360. How much does a chair and a table cost? Write a system of equations to solve.
Chairs $2 Tables $5
Chairs $50 Tables $20
Chairs $10 Tables $15
Chairs $20 Tables $50
Tags
CCSS.8.EE.C.8C
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
You and your brother each decide to open a savings account. You open your account at Elsa’s Banking Branch. Your brother opens his account at Anna’s Banking Company. You put $50 in the bank and your account earns $4 per week in interest. Your brother puts $150 in his account but only earns $2 per week in interest. How many weeks will it take for both your brother and your account to have the same balance? Write a system of linear equations to solve the problem.
200 weeks
300 weeks
50 weeks
250 weeks
Tags
CCSS.8.EE.C.8C
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Macy starts with $20 in her bank account and she saves $5 each week. Robby has $100 in his bank account, and he saves $2.50 each week. After how many weeks will Macy and Robby have the same amount in their accounts and how much money will that be? Write a system of equations to solve.
25 weeks; $160
32 weeks; $180
20 weeks; $120
22 weeks; $135
Tags
CCSS.8.EE.C.8C
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve by elimination:
3x+7y=23
-3x-7y=-17
No solution
ARN
(-3,3)
(3,3)
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve by elimination:
-9x-4y=-20
5x+4y=4
(-4,4)
(4,4)
(4,-4)
(-4,-4)
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve by elimination:
7x+y=-9
-3x-y=5
No solution
(1,8)
(-2,-3)
(-1,-2)
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve by elimination:
7x-9y=29
7x+2y=-15
(-4,-1)
(-1.-4)
(-1,4)
(-1,6)
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
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