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Solving Multi-Step Equations (8th Grade)

Mathematics

8th Grade

CCSS covered

Used 156+ times

Solving Multi-Step Equations (8th Grade)
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This quiz comprehensively covers solving multi-step equations, a foundational algebraic concept typically taught in 8th grade mathematics. The questions systematically build from basic equation solving techniques to more complex real-world applications. Students need to demonstrate proficiency in combining like terms, using the distributive property, applying inverse operations in proper sequence, and isolating variables through multiple steps. The quiz also requires translating between verbal descriptions and algebraic expressions, identifying key mathematical vocabulary like "quotient," "difference," and "product," and setting up equations from word problems involving linear relationships. Students must understand how to work with equations containing parentheses, negative coefficients, and decimal values, while also recognizing when two different scenarios result in equivalent costs or values. This quiz was created by a classroom teacher who designed it for students studying 8th grade algebra. The comprehensive nature of this assessment makes it highly versatile for multiple instructional purposes throughout a unit on multi-step equations. Teachers can use individual questions as warm-up problems to activate prior knowledge, assign sections for guided practice during instruction, or deploy the entire quiz as a summative assessment to evaluate student mastery. The real-world application problems make this particularly effective for homework assignments where students can work through practical scenarios at their own pace. The variety of question types - from direct computation to equation setup and word problem translation - provides excellent formative assessment data to help teachers identify specific areas where students need additional support. This quiz directly aligns with Common Core standards 8.EE.C.7 (solving linear equations in one variable) and 8.EE.C.8 (analyzing and solving systems of linear equations), while also supporting mathematical practice standards for modeling and reasoning abstractly.

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30 questions

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1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

2x - 3 + 4x = 27

12
4
5
15

Tags

CCSS.8.EE.C.7B

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

3x + 2(4x - 4) = 3

4
3
2
1

Tags

CCSS.8.EE.C.7B

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

4x + 10 = -26

4
-4
-9
9

Tags

CCSS.7.EE.B.4A

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

2. Cheryl gets paid $8 per hour for her job at the record store and $15 for working late on Saturday.  She made a total of $96 last week.  Which equation models this situation?

96h + 15 = 8
h/96 = 8
8h + 15 = 96
h/8 = 96

Tags

CCSS.HSA.CED.A.3

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Write an equation models the following statement:
 17 less than h equals 42

17-h=42
h-17=42
h+17=42
17+h=42

Tags

CCSS.6.EE.B.7

CCSS.6.EE.B.6

CCSS.6.EE.A.2

CCSS.6.EE.B.5

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Solve for " x" ?
4x-6=30

x = 9
x = 13
x = 36
x = 4

Tags

CCSS.7.EE.B.4A

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Solve for the variable. 3x=-27

x=9
x=-30
x=-9
x=-24

Tags

CCSS.6.EE.B.7

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