6.1 Solving Systems of Equations by Graphing
Authored by Alecia Inge
Mathematics
8th - 9th Grade
CCSS covered
Used 699+ times
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About
Looking at these twenty questions, this quiz focuses squarely on solving systems of linear equations by graphing, which is a foundational algebra topic typically taught in 8th or 9th grade mathematics. The questions assess students' ability to identify intersection points of two linear lines on a coordinate plane, requiring mastery of coordinate geometry, understanding of ordered pairs, and recognition of special cases like parallel lines with no solution or coincident lines with infinite solutions. Students need to understand that the solution to a system of equations represents the point where both equations are simultaneously true, visualized as the intersection point of their graphs. The mathematical reasoning involves plotting linear equations, identifying precise coordinate points, distinguishing between finite solutions and special cases, and connecting algebraic concepts to geometric representations on the coordinate plane. Created by Alecia Inge, a Mathematics teacher in the US who teaches grades 8 and 9. This quiz serves as an excellent tool for formative assessment, allowing teachers to gauge student understanding of graphical solutions before moving to algebraic methods like substitution or elimination. Teachers can use this as a warm-up activity to activate prior knowledge of coordinate graphing, as guided practice during instruction on systems of equations, or as homework to reinforce classroom learning. The quiz format makes it particularly effective for review sessions before unit tests or as a diagnostic tool to identify students who need additional support with coordinate plane skills. The content directly supports CCSS.MATH.CONTENT.8.EE.C.8, which requires students to analyze and solve pairs of simultaneous linear equations, and CCSS.MATH.CONTENT.HSA.REI.C.6, focusing on solving systems of linear equations exactly and approximately through graphing and algebraic methods.
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20 questions
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1.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Lesly graphed two lines in order to find the solution to a given system of equations.
What is the solution?
Tags
CCSS.8.EE.C.8B
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the solution?
Tags
CCSS.8.EE.C.8A
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the solution to the system?
Tags
CCSS.8.EE.C.8A
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the solution?
Tags
CCSS.8.EE.C.8A
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
These two lines intersect at _____.
Tags
CCSS.8.EE.C.8A
6.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
The solution is:
Tags
CCSS.8.EE.C.8A
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Buzz graphed two lines in order to find the solution to a given system of equations.
What is the solution?
Tags
CCSS.8.EE.C.8B
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