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Algebra 1 Systems of Equations Quiz

Authored by Allison Combs

Mathematics

9th Grade

CCSS covered

Used 86+ times

Algebra 1 Systems of Equations Quiz
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This quiz focuses on systems of linear equations, specifically targeting students' ability to solve systems by graphing and understand the geometric interpretation of solutions. The content is appropriate for 9th grade Algebra 1 students who are building foundational skills in coordinate geometry and linear relationships. Students need to understand how to graph linear equations using slope-intercept form, identify points of intersection, and recognize the three types of solutions: one unique solution (intersecting lines), no solution (parallel lines), and infinitely many solutions (coincident lines). The questions assess students' conceptual understanding of what solutions represent geometrically - the intersection points of two lines - as well as their procedural skills in reading coordinates from graphs and understanding the relationship between slope and parallel lines. Created by Allison Combs, a Mathematics teacher in US who teaches grade 9. This quiz serves as an excellent formative assessment tool to gauge student understanding before moving on to algebraic methods of solving systems. Teachers can use this as a warm-up activity to activate prior knowledge about graphing linear equations, or as guided practice during instruction on systems of equations. The quiz works particularly well for homework assignments where students can take their time to carefully graph each system, and it's ideal for review sessions before unit tests. The multiple-choice format allows for quick assessment of common misconceptions, such as confusing x and y coordinates or misunderstanding the meaning of parallel lines. This assessment aligns with Common Core standards A-REI.C.6 (solving systems of linear equations graphically) and A-REI.D.11 (understanding that the graph of an equation corresponds to the set of all its solutions).

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12 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What is the solution? 

1
-2
(1, 2)
(1, -1)

Tags

CCSS.8.EE.C.8A

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

This system has _____ solutions

no
1
2
Infinitely many

Tags

CCSS.8.EE.C.8A

3.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Media Image

What is the solution?
(Hint:  Both lines are graphed over each other)

One Solution
No solution
Infinitely Many Solutions

Tags

CCSS.8.EE.C.8A

4.

MULTIPLE CHOICE QUESTION

1 min • 12 pts

Media Image

Solve the following system by graphing.  What is the solution?

Infinite number of solutions
(3, 3)
(3, -3)
(-3, 3)

Tags

CCSS.8.EE.C.8B

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

Solve the following system by graphing.  What is the solution?

(-2, -4)
(2, -4)
(-2, 4)
(2, 4)

Tags

CCSS.8.EE.C.8B

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Solve the following system by graphing.  What is the solution?

(1, 2)
(-1, 2)
(2, 1)
(2, -1)

Tags

CCSS.8.EE.C.8B

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

Solve the following system by graphing.  What is the solution?

(3, -1)
(-1, -3)
(-1, -1)
(-1, 3)

Tags

CCSS.8.EE.C.8B

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