Equations w/ Variables on Both Sides(Fractions, Distributive

Equations w/ Variables on Both Sides(Fractions, Distributive

Assessment

Flashcard

Mathematics

8th Grade

Practice Problem

Hard

Created by

Wayground Content

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a set of parentheses.

2.

FLASHCARD QUESTION

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

3.

FLASHCARD QUESTION

Front

What does it mean to have variables on both sides of an equation?

Back

Having variables on both sides means that the variable appears in expressions on both the left and right sides of the equation, requiring manipulation to solve for the variable.

4.

FLASHCARD QUESTION

Front

What is the first step in solving an equation with variables on both sides?

Back

The first step is to simplify both sides of the equation, if necessary, and then move all terms containing the variable to one side.

5.

FLASHCARD QUESTION

Front

How do you solve the equation 4(1 - x) + 3x = -2(x + 1)?

Back

Distribute the 4 and -2, combine like terms, and isolate x to find x = -6.

6.

FLASHCARD QUESTION

Front

What is the solution to the equation 5y + 34 = -2(-7y + 1)?

Back

The solution is y = 4.

7.

FLASHCARD QUESTION

Front

How do you simplify the equation 4(2x - 1) = 6x + 5 - 5x + 5?

Back

Distribute the 4, combine like terms on both sides, and solve for x to find x = 2.

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