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Graphing Linear Equations

Authored by Chris Sieling

Mathematics

8th - 11th Grade

CCSS covered

Used 417+ times

Graphing Linear Equations
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This quiz comprehensively covers graphing linear equations, targeting core concepts essential for Algebra I at the 8th through 9th grade level. Students must demonstrate mastery of multiple forms of linear equations including slope-intercept form (y = mx + b), point-slope form (y - y₁ = m(x - x₁)), and standard form (Ax + By = C). The questions require students to write equations from graphs, identify x- and y-intercepts algebraically and graphically, recognize and apply the three forms of linear equations, graph horizontal and vertical lines, and solve systems of equations by graphing. Additionally, students must understand the relationship between parallel lines (equal slopes) and perpendicular lines (negative reciprocal slopes), calculate slope from two points, and extract slope and points from different equation forms. The mathematical reasoning demands strong algebraic manipulation skills, coordinate plane literacy, and conceptual understanding of how slope and intercepts define linear relationships. Created by Chris Sieling, a Mathematics teacher in US who teaches grade 8 and 11. This assessment serves as an excellent tool for formative assessment during your linear equations unit, allowing you to gauge student understanding across all major representations of linear functions. Use this quiz as a comprehensive review before summative assessments, assign it as homework to reinforce classroom instruction, or deploy individual questions as warm-up problems to activate prior knowledge. The variety of question types makes it particularly valuable for differentiating instruction and identifying specific areas where students need additional support, whether in graphing techniques, algebraic manipulation, or conceptual understanding of linear relationships. This quiz directly supports Common Core standards 8.EE.B.6 (deriving equations for lines), 8.F.B.4 (constructing functions to model relationships), A-CED.A.2 (creating equations in multiple variables), and A-REI.C.6 (solving systems of linear equations).

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30 questions

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1.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Media Image

Write the equation for the line.

y= -1x+3
y= 4x+3
y=1/4x+3
y= -4x+3

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What is the equation of this graph?

y = 1/2x + 2
y = -1/2x + 2
y = 2
y = 1/2x - 2

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Write the equation of the line.

y=3/5x+1
y=3/5x-1
y=5/3x+1
y=3/5x+1

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSS.ID.C.7

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What are the x- intercepts of the graph of 3x+4y=24

12
8
-12
-8

Tags

CCSS.HSF-IF.C.7A

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What are the y-intercepts of the graph of 3x+4y=24

-6
6
15
-15

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Name the x- and y-intercepts for the equation:
2x + y = 6

(0, 3) and (6, 0)
(0, -3) and (-6, 0)
(3, 0) and (0, 6)
(-3, 0) and (0, -6)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.C.6

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

What is the equation of the line?

2x+7y=13
3x+4y=12
9x+5y=50
x+y=5

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.C.6

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