Substitution and Elimination
Authored by John Flanigan
Mathematics
9th Grade
CCSS covered
Used 185+ times
AI Actions
Add similar questions
Adjust reading levels
Convert to real-world scenario
Translate activity
More...
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).
Content View
Student View
28 questions
Show all answers
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
Access all questions and much more by creating a free account
Create resources
Host any resource
Get auto-graded reports
Continue with Google
Continue with Email
Continue with Classlink
Continue with Clever
or continue with
Microsoft
%20(1).png)
Apple
Others
Already have an account?
Similar Resources on Wayground
24 questions
Quadratic Function
Quiz
•
8th - 10th Grade
24 questions
Slope Intercept Form Point Slope Form
Quiz
•
8th - 9th Grade
30 questions
add
Quiz
•
5th - 12th Grade
23 questions
Trabalho de Matemática
Quiz
•
7th Grade - University
25 questions
MARTES DE PRUEBA
Quiz
•
9th Grade
25 questions
Circle properties - assessment
Quiz
•
9th Grade
26 questions
Probability Formative Venn Diagrams and Two Way Tables
Quiz
•
8th - 10th Grade
24 questions
Finding Unknown Angles in Triangles
Quiz
•
8th - 10th Grade
Popular Resources on Wayground
15 questions
Fractions on a Number Line
Quiz
•
3rd Grade
20 questions
Equivalent Fractions
Quiz
•
3rd Grade
25 questions
Multiplication Facts
Quiz
•
5th Grade
29 questions
Alg. 1 Section 5.1 Coordinate Plane
Quiz
•
9th Grade
22 questions
fractions
Quiz
•
3rd Grade
11 questions
FOREST Effective communication
Lesson
•
KG
20 questions
Main Idea and Details
Quiz
•
5th Grade
20 questions
Context Clues
Quiz
•
6th Grade
Discover more resources for Mathematics
29 questions
Alg. 1 Section 5.1 Coordinate Plane
Quiz
•
9th Grade
20 questions
Graphing Inequalities on a Number Line
Quiz
•
6th - 9th Grade
20 questions
Box and Whisker Plots
Quiz
•
9th Grade
18 questions
Exponential Growth and Decay
Quiz
•
9th Grade
20 questions
Function or Not a Function
Quiz
•
8th - 9th Grade
20 questions
SSS/SAS
Quiz
•
9th - 12th Grade
14 questions
Making Inferences From Samples
Quiz
•
7th - 12th Grade
23 questions
CCG - CH8 Polygon angles and area Review
Quiz
•
9th - 12th Grade