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Grade 8 Module 4 Test Linear Systems & Equations

Authored by Anonymous Anonymous

Mathematics

7th - 9th Grade

CCSS covered

Used 39+ times

Grade 8 Module 4 Test Linear Systems & Equations
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This Grade 8 quiz comprehensively covers linear equations and systems of linear equations, focusing on the algebraic and graphical relationships between lines. Students need to master calculating slope using the slope formula, writing equations in slope-intercept form (y = mx + b), and understanding how slope and y-intercept values determine a line's behavior. The core concepts include solving systems of equations using substitution and elimination methods, interpreting the geometric meaning of solutions (one solution means intersecting lines, no solution means parallel lines, and infinite solutions means coinciding lines), and translating real-world scenarios into mathematical systems. Students must demonstrate fluency with coordinate geometry, algebraic manipulation, and the ability to connect multiple representations of linear relationships including equations, graphs, and contextual situations. This quiz was created by a classroom teacher who designed it for students studying linear systems and equations in Grade 8. The assessment serves multiple instructional purposes, from formative assessment during unit instruction to summative evaluation of student mastery before moving to more advanced algebraic concepts. Teachers can use individual questions as warm-up problems to activate prior knowledge about slope and linear equations, or deploy the entire quiz as homework to reinforce classroom learning. The word problems involving real-world contexts like birthday parties, farm animals, and grocery shopping make this particularly effective for helping students see practical applications of mathematical systems. This quiz aligns with Common Core standards 8.EE.8 (analyzing and solving systems of linear equations) and 8.F.3 (interpreting linear functions), providing teachers with reliable data about student readiness for high school algebra coursework.

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19 questions

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1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Determine the slope of the line that passes through the points. 
A(-2, -1)
D(3, 5)

6/5 or 1.2
5/6 or .83333
0
1/3 or .3333

Tags

CCSS.8.EE.B.5

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

Write an equation in y=mx+b form for the graph of the line.

y = 2x + 3

y = 3x + 2

y =1/3 x + 2 (or y =.33x + 2)

y = 3x

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

Write an equation in y=mx+b form for the graph of each line. 

y = -2x - 3
y = 2x - 3
y = -3x - 2
y = -.5 x - 3

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Solve for x and y
3x + 2y = 16
7x + y = 19

(-2,5)
(-2,-5)
(2,-5)
(2,5)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

David is having his birthday party at a water park. The park charges $150 plus $10 per guest. The total cost of the party, y, can be represented by the equation y = 10x + 150. What does the slope represent?

$150 fee
$150 per guest
$10 per guest
$10 fee

Tags

CCSS.HSF.LE.B.5

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Write an equation in y=mx+b form for the line that passes through (3, –1) and has a slope of 2.

y = 3x - 1
y = 2x - 7
y = 2x
y = 2x - 1

Tags

CCSS.HSA.CED.A.1

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Media Image

The graph of the system of a linear equations are parallel, what is the solution set?

(0,0)
none
many infinite
POI (point of intersection)

Tags

CCSS.8.EE.C.8A

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