Substitution and Elimination
Authored by John Flanigan
Mathematics
9th Grade
CCSS covered
Used 191+ times
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About
This quiz covers systems of linear equations, focusing on the substitution and elimination methods for solving two-equation systems. The content is appropriate for 9th grade Algebra 1 students who are learning to solve systems algebraically after mastering graphing linear equations. Students need to understand how to manipulate linear equations, substitute expressions for variables, add equations to eliminate variables, and interpret different types of solutions (one solution, no solution, or infinitely many solutions). The quiz also tests foundational vocabulary including domain, range, relations, functions, and the geometric interpretation of systems as intersecting, parallel, or coincident lines. Students must demonstrate procedural fluency in both substitution (when one equation is already solved for a variable) and elimination (adding equations to cancel out variables), while also understanding the conceptual meaning of solutions as coordinate pairs that satisfy both equations simultaneously. Created by John Flanigan, a Mathematics teacher in the US who teaches grade 9. This comprehensive quiz serves multiple instructional purposes throughout a unit on systems of linear equations, combining both computational problems and conceptual understanding checks. Teachers can use the computational problems for guided practice during lessons or as homework assignments to reinforce the mechanical steps of substitution and elimination methods. The vocabulary and conceptual questions work effectively as warm-up activities to activate prior knowledge or as formative assessment tools to gauge student understanding of key terms and graphical interpretations. The mix of problem types makes this quiz ideal for review before summative assessments, allowing students to practice both algorithmic procedures and demonstrate their understanding of when systems have one solution, no solution, or infinitely many solutions. This content aligns with Common Core standards A-REI.C.6 (solving systems of linear equations algebraically) and A-REI.C.5 (understanding that solutions to systems correspond to intersection points when graphed).
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28 questions
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1.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Solve the System of Equations by Substitution: 4x + 6y = 16 and x = -2
(-2, 1)
(-2, 4)
(-2, 2)
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve for x and y
5x + 3y = 7
y = 4
Tags
CCSS.HSA.REI.C.9
3.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Solve the system by substitution.
-2x - 2y = 16
y = -8
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
4.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Solve the system of equations:
y=2x
x + y = 9
Tags
CCSS.HSA.REI.C.7
5.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Substitution
(3,4)
(4,3)
(-3,-4)
(-4,-3)
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What would be the first step in finding the solution using elimination?
2x + 2y = -2
3x - 2y = 12
you cannot solve this using eliminiation
cross out the 2x and 3x
cross out the 2y and -2y
change to slope intercept form and graph
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Method of solving a system in which two equations are added together in a manner that will eliminate one of the two variables.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
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