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7th grade Expressions, equations, and inequalities

Authored by Rebecca Summers

Mathematics

7th - 9th Grade

CCSS covered

Used 482+ times

7th grade Expressions, equations, and inequalities
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This quiz thoroughly assesses 7th grade algebraic concepts focusing on expressions, equations, and inequalities. Students need a solid understanding of fundamental algebraic vocabulary including inverse operations and like terms, along with the ability to apply the distributive property to simplify expressions containing variables and constants. The problems require mastery of equation-solving techniques using inverse operations, understanding how operations with negative coefficients affect inequality direction when solving linear inequalities, and the ability to translate real-world scenarios into algebraic equations. Students must demonstrate proficiency in combining like terms, isolating variables through multi-step processes, and representing inequality solutions both algebraically and graphically using number lines with appropriate open or closed circles. Created by Rebecca Summers, a Mathematics teacher in the US who teaches grades 7 and 9. This comprehensive assessment serves multiple instructional purposes throughout your algebra unit, functioning effectively as a formative assessment tool to gauge student understanding before moving to more complex topics, or as targeted practice for students who need additional reinforcement with foundational algebraic skills. The quiz works excellently as a review session before chapter tests, homework assignment for independent practice, or warm-up activity to activate prior knowledge at the beginning of class. The problems align directly with Common Core standards 7.EE.A.1, 7.EE.A.2, 7.EE.B.3, and 7.EE.B.4, ensuring students develop essential skills in using properties of operations to generate equivalent expressions, solving linear equations and inequalities, and applying mathematical modeling to real-world problem-solving situations.

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20 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

An inverse operation is

reversing the sign in an inequality
using the opposite operation to solve equations
 A number’s distance from zero

Tags

CCSS.HSA.REI.A.1

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Like terms are 

numbers or same variable raised to the same power
equal numbers
only unknown values

Tags

CCSS.6.EE.A.2B

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Choose an expression that is equivalent to the following
6n + 2(3 - 5n)

n + 6
6 - 4n
16n + 6

Tags

CCSS.6.EE.A.4

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Choose the first step in solving the following equation.
-3y - 12 = 14

add 3 from both sides
add 12 to both sides
subtract 12 from both sides

Tags

CCSS.HSA.REI.A.1

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

-12x > 36

x > -3
x > 48
x < -3

Tags

CCSS.6.EE.B.8

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

- 3( 4 - 2x) = 6

x = 1
x = -3 
x = 3

Tags

CCSS.7.EE.B.4A

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Choose the equation that can be used to find the regular price, x, of a watch discounted 25% when the sales price is $50.

x - .25 = 50

1.25x= 50

0.75x = 50

Tags

CCSS.HSA.CED.A.3

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