Systems of Equations
Authored by Sam Carroll
Mathematics
8th - 11th Grade
CCSS covered
Used 2K+ times
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About
This quiz focuses on systems of linear equations in two variables, targeting the fundamental algebraic skills typically taught at the 8th to 9th grade level. The questions comprehensively assess students' ability to solve systems using multiple methods including substitution, elimination, and graphical interpretation. Students must demonstrate mastery of manipulating linear equations, isolating variables, and performing accurate arithmetic operations with integers, fractions, and negative numbers. The problems require strong foundational skills in solving single-variable equations, understanding coordinate pairs as solutions, and recognizing that the intersection point of two lines represents the simultaneous solution to both equations. Students need to work fluently with different forms of linear equations, including slope-intercept form and standard form, while maintaining precision in their calculations throughout multi-step solution processes. Created by Sam Carroll, a Mathematics teacher in New Zealand who teaches grades 8 and 11. This quiz serves as an excellent instructional tool for building and reinforcing students' competency with systems of equations through varied practice opportunities. Teachers can deploy this assessment as a warm-up activity to activate prior knowledge, use it for guided practice during instruction, or assign it as homework to solidify learning outside the classroom. The quiz works particularly well for formative assessment, allowing educators to quickly identify students who need additional support with specific solution methods or arithmetic skills. The questions align with Common Core standards 8.EE.C.8 and A-REI.C.6, which focus on solving systems of linear equations algebraically and understanding that solutions represent intersection points of the corresponding graphs.
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20 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 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
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of the y-coordinate of the solution to the system of equations
x-2y=1
x+4y=7
Tags
CCSS.HSA.REI.C.6
CCSS.8.EE.C.8B
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Solve for x and y
y = 2x + 1
y = 4x - 1
Tags
CCSS.HSA.REI.C.6
CCSS.8.EE.C.8B
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Solve for x and y
3x + 2y = 16
7x + y = 19
Tags
CCSS.HSA.REI.C.6
CCSS.8.EE.C.8B
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Solve for x and y.
y = 2/3x - 2
y = -x + 3
Tags
CCSS.HSA.REI.C.6
CCSS.8.EE.C.8B
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Solve the system of equations.
x + 2y = -3
x - y = -12
Tags
CCSS.HSA.REI.C.6
CCSS.8.EE.C.8B
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Solve the system of equations.
y = 4x+1
3x + 2y = 13
Tags
CCSS.HSA.REI.C.6
CCSS.8.EE.C.8B
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