Solving Systems of Equations - Substitution & Elimination
Mathematics
8th Grade
CCSS covered
Used 132+ times
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This quiz focuses on solving systems of linear equations using substitution and elimination methods, which is core content for 8th grade algebra. Students must demonstrate understanding of multiple solution strategies, including verifying solutions by substitution, isolating variables, and combining equations to eliminate variables. The problems require students to manipulate algebraic expressions, perform multi-step calculations, and understand that a system's solution represents the intersection point of two linear equations. Students need solid foundational skills in solving one-variable linear equations, substituting expressions, and performing operations with integers and fractions to successfully complete these problems. This quiz was created by a classroom teacher who designed it for students studying systems of equations in grade 8. The assessment serves as an excellent tool for formative evaluation after introducing both substitution and elimination methods, allowing teachers to gauge student mastery of these essential algebraic techniques. Teachers can effectively use this quiz as a warm-up review before a unit test, as guided practice during instruction, or as homework to reinforce classroom learning. The variety of problem types—from solution verification to multi-step solving—makes it particularly valuable for identifying specific areas where students may need additional support. This content aligns with standards 8.EE.C.8, which requires students to analyze and solve pairs of simultaneous linear equations through multiple methods including substitution and elimination.
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5 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Is (3,8) a solution to this system of equations?
y = 7x + 8
y = x + 1
True
False
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve the systems of equations using the substitution method.
y = 2
2x + y = 8
(2,3)
(3,-2)
(3,2)
(-3,2)
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Solve the following system of equations using the substitution method.
x = 2y
2x + 5y = 9
(1,2)
(2,1)
(2,3)
(4,2)
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Solve the system of equations using the elimination method and enter the value of y.
4x - 5y = -9
-4x +y = -7
8
-4
-8
4
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the solution that is true for the both of the following equations?
2x + 6y = 60
-2x + 5y =39
(9,3)
(-3,9)
(3,9)
(3,-9)
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
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