Systems of Equations- Substitution
Mathematics
8th - 9th Grade
CCSS covered
Used 380+ times
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About
This quiz focuses on solving systems of linear equations using the substitution method, which is a fundamental algebraic skill typically taught in 8th or 9th grade mathematics. The questions systematically assess students' ability to manipulate algebraic expressions, substitute one equation into another, and solve for both variables in a two-variable system. Students need a solid understanding of linear equations in slope-intercept form and standard form, the ability to isolate variables, and proficiency with integer and fractional arithmetic. The quiz progresses from straightforward substitution problems where one equation is already solved for a variable to more complex scenarios requiring students to first manipulate equations before substituting. The final challenge problem extends the concept to three variables, requiring students to apply substitution multiple times in sequence. Throughout, students must demonstrate accuracy in algebraic manipulation and the ability to verify their solutions by checking that the ordered pairs satisfy both original equations. This quiz was created by a classroom teacher who designed it for students studying systems of equations in grades 8-9. The comprehensive set of 22 questions provides excellent support for instruction through multiple practice opportunities that build confidence and fluency with the substitution method. Teachers can use this quiz as a formative assessment to identify students who need additional support with variable isolation or algebraic manipulation, or as summative practice after direct instruction on substitution techniques. The variety of problem types makes it suitable for differentiated homework assignments, bell-ringer activities, or review sessions before unit tests. The questions align with Common Core standards 8.EE.8 (analyzing and solving systems of linear equations) and A-REI.6 (solving systems of linear equations algebraically), providing targeted practice that prepares students for more advanced algebraic concepts including graphing systems and real-world applications.
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22 questions
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1.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
What is the solution to this system?
y= 4x + 3
2x - 3y = 21
Tags
CCSS.HSA.REI.C.6
CCSS.8.EE.C.8B
2.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
What is the solution to this system?
x= 7 - 2y
2x + y = 5
Tags
CCSS.HSA.REI.C.6
CCSS.8.EE.C.8B
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the solution to this system?
y = x + 5
4x + y = 20
Tags
CCSS.HSA.REI.C.6
CCSS.8.EE.C.8B
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the solution to this system?
y = 2x + 1
y = 4x - 1
Tags
CCSS.HSA.REI.C.6
CCSS.8.EE.C.8B
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the solution to this system?
y = 4x + 1
3x + 2y = 13
Tags
CCSS.HSA.REI.C.6
CCSS.8.EE.C.8B
6.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
What is the solution to this system?
y = x
3x - 2y = 3
Tags
CCSS.HSA.REI.C.7
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the solution to the system of equations?
y = 3x - 8
y = 4 - x
Tags
CCSS.HSA.REI.C.6
CCSS.8.EE.C.8B
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