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Solving Two-Step Equations with Distributive Property Flashcard

Solving Two-Step Equations with Distributive Property Flashcard

Assessment

Flashcard

Mathematics

7th Grade

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

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15 questions

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1.

FLASHCARD QUESTION

Front

What does the distributive property state?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

2.

FLASHCARD QUESTION

Front

How do you apply the distributive property to the expression 3(x + 2)?

Back

You multiply 3 by both x and 2, resulting in 3x + 6.

3.

FLASHCARD QUESTION

Front

What is a two-step equation?

Back

A two-step equation is an equation that requires two operations to solve for the variable.

4.

FLASHCARD QUESTION

Front

How do you solve the equation 2(4x + 3) = 26?

Back

First, distribute 2 to get 8x + 6 = 26. Then, subtract 6 from both sides to get 8x = 20, and finally divide by 8 to find x = 2.

5.

FLASHCARD QUESTION

Front

What is the first step in solving the equation 5(2x - 1) = 39?

Back

Distribute 5 to get 10x - 5 = 39.

6.

FLASHCARD QUESTION

Front

How do you isolate the variable x in the equation 4(3x - 2) = 20?

Back

First, distribute 4 to get 12x - 8 = 20. Then, add 8 to both sides to get 12x = 28, and divide by 12 to find x = 2.33.

7.

FLASHCARD QUESTION

Front

What is the result of simplifying the expression 4(2x - 3) - 2(3x + 5)?

Back

You distribute to get 8x - 12 - 6x - 10, which simplifies to 2x - 22.

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