Solving Systems of Linear Equations by Elimination
Authored by Marlene Mallari
Mathematics
9th Grade
CCSS covered
Used 325+ times
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About
This quiz focuses on solving systems of linear equations using the elimination method, which is a core algebraic skill taught in 9th grade mathematics. The questions systematically assess students' understanding of the elimination process, from basic conceptual knowledge to complex multi-step problem solving. Students need to understand how to manipulate equations by adding, subtracting, or multiplying to eliminate variables, recognize when systems have one solution, no solution, or infinitely many solutions, and identify strategic approaches like determining appropriate multipliers to create zero pairs. The problems require mastery of algebraic operations, careful attention to positive and negative signs, and the ability to recognize equivalent equations. Students must also demonstrate procedural fluency in organizing equations in standard form and executing the step-by-step elimination process to arrive at coordinate pair solutions. Created by Marlene Mallari, a Mathematics teacher in the US who teaches grade 9. This comprehensive assessment serves multiple instructional purposes throughout the unit on systems of equations, providing teachers with flexibility to use individual problems as warm-up exercises, assign the complete quiz as homework practice, or implement it as a formative assessment to gauge student understanding before moving to more advanced topics. The varied problem types make it particularly effective for differentiated instruction, allowing students to build confidence with straightforward elimination problems before tackling systems requiring multiplication or those with special cases. Teachers can use this quiz to identify common misconceptions around sign errors and solution verification, making it an invaluable tool for targeted remediation. The content aligns with standards A-REI.6, which requires students to solve systems of linear equations exactly and approximately, focusing on cases where systems have a unique solution, no solution, or infinitely many solutions.
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20 questions
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1.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
Solve by elimination:
4x+9y=28
-4x-y=-28
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
2.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Solve by elimination:
-9x-4y=-20
5x+4y=4
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
3.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
Solve by elimination:
-x+2y=17
2x+2y=-10
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
4.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Solve by elimination
-6x+y= -2
-3x-6y= 12
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
5.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
Solve the system using Multiplication.
2x + 3y = 12
5x - y = 13
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
6.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
Solve the system by multiplication.
3x + 2y = 16
7x + y = 19
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
7.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
what does the top equation need to be multiplied by to create a zero pair?
2x - 6y = 20
2x + 5y = -11
-1
1
-2
2
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
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