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Combining Like Terms and Distributive Property

Mathematics

7th - 8th Grade

CCSS covered

Used 2K+ times

Combining Like Terms and Distributive Property
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This quiz covers algebraic expressions with a focus on combining like terms and applying the distributive property, appropriate for middle school students in grades 7-8. The content systematically builds foundational algebra skills, starting with basic vocabulary (variables, coefficients, constants, and terms) before progressing to computational applications. Students need to understand that like terms contain the same variable raised to the same power and can be combined by adding or subtracting their coefficients. They must also master the distributive property a(b + c) = ab + ac, including cases involving negative numbers and signs. The problems require students to work with integer operations, maintain proper order of operations, and simplify multi-step expressions that combine both distributive property applications and like term combinations. This quiz was created by a classroom teacher who designed it for students studying middle school algebra. The comprehensive nature of this assessment makes it highly versatile for multiple instructional purposes throughout a unit on algebraic expressions. Teachers can use individual sections as warm-up exercises to reinforce specific skills, assign the complete quiz as homework to provide extensive practice, or implement it as a formative assessment to identify students who need additional support with foundational algebra concepts. The vocabulary questions serve as excellent review tools, while the computational problems offer varied complexity levels that allow for differentiated instruction. This quiz effectively supports Common Core standards 7.EE.A.1 and 7.EE.A.2, which focus on applying properties of operations to generate equivalent expressions and understanding that rewriting expressions can reveal and explain properties of real-world phenomena.

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26 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Simplify the expression:
9m - 7m + 2m

2m + 2m
4m
18m
4

Tags

CCSS.7.EE.A.1

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Use the distributive property to simplify the expression:
6(3 - y)

18 - y
9 - y
18 - 6y
18 + 6y

Tags

CCSS.6.EE.A.3

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Simplify using the distributive property
12(a - 4)

12a - 48
12a - 4
12a + 4
12a + 48

Tags

CCSS.6.EE.A.3

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Simplify the expression:
2(x - 2) + 5x

2x - 2 + 5x
2x - 4 + 5x
2x - 4 + 5x
7x - 4

Tags

CCSS.6.EE.A.3

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

5(a + 6)

5a + 6
a + 30
5a + 30
5a - 30

Tags

CCSS.6.EE.A.3

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

3(2c - 5)

6c - 15
6c + 15
6c + 15
-6c - 15

Tags

CCSS.6.EE.A.3

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Simplify the following expression:
-8x + 4x

-12x
-4x
4x
12x

Tags

CCSS.7.EE.A.1

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