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Big Ideas Math Chapter 3 Test

Authored by Stephen Piazza

Mathematics

6th Grade

CCSS covered

Used 6+ times

Big Ideas Math Chapter 3 Test
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This quiz comprehensively assesses 6th grade algebraic thinking and properties of operations, covering the fundamental mathematical properties that form the foundation for all future algebra work. Students need to understand and apply the Associative, Commutative, and Distributive Properties, as well as the Identity and Zero Properties for both addition and multiplication. The core concepts include recognizing when and how to group terms differently using the Associative Property, rearranging terms with the Commutative Property, and expanding expressions using the Distributive Property. Students must also master combining like terms, simplifying algebraic expressions, and evaluating expressions by substituting given values for variables. The questions require students to distinguish between terms, coefficients, and constants, and to perform multi-step simplification problems that integrate multiple properties and operations. Created by Stephen Piazza, a Mathematics teacher in US who teaches grade 6. This assessment serves as an excellent comprehensive review or summative evaluation of Chapter 3 content, testing students' mastery of algebraic properties and expression manipulation. Teachers can use this quiz for end-of-chapter assessment, test preparation, or as a diagnostic tool to identify areas where students need additional support. The variety of question formats—from property identification to multi-step simplification—makes it valuable for differentiated instruction and allows teachers to pinpoint specific skill gaps. This quiz effectively measures student progress toward mastery of standards 6.EE.A.3 (applying properties to generate equivalent expressions) and 6.EE.A.2 (evaluating expressions at specific values), while also supporting 6.EE.A.1 (writing and reading expressions in real-world contexts) through its emphasis on understanding mathematical structure and relationships.

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32 questions

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1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Using the Associative Property, how would we simplify this problem?
6 + (5 + x) 

6 + 5x
(x + 5) + 6
(5 + 6) + x
(6 + 5 + x)

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Using the Associative Property, how would we simplify this problem?
7(9w) 

79w
(7 x 9)w
(7 x 9w)
7 x 9 (w)

Tags

CCSS.6.EE.A.3

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Using the Addition Property of Zero, how would we simplify this problem?
(0 + a) + 8

0 + (a + 8)
0 + 8
a + 8
( 0 + a + 8)

Tags

CCSS.7.EE.A.1

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Using the Multiplication Properties of Zero and One, how would we simplify this problem?
(18.6 ⋅d ) ⋅ 1 

(18.6 ⋅ 1) ⋅ d
18.6 ⋅ (1 ⋅ d)
18.6 ⋅ 1
18.6 ⋅ d

Tags

CCSS.6.EE.A.3

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Simplify the expression using the Distributive Property:  4( x - 6)

x- 24
4x - 24
4x + 6
4x + 24

Tags

CCSS.6.EE.A.3

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Simplify the expression using the Distributive Property:  4( x - 6)

x- 24
4x - 24
4x + 6
4x + 24

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Simplify the expression using the Distributive Property:  8( x - 5)

8x - 40
x + 40
8x - 5
5x - 40

Tags

CCSS.6.EE.A.3

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