Solving Multi-Step Equations with Variables on Both Sides

Solving Multi-Step Equations with Variables on Both Sides

Assessment

Flashcard

Mathematics

8th - 10th Grade

Practice Problem

Hard

Created by

Wayground Content

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a multi-step equation?

Back

An equation that requires more than one step to solve, often involving combining like terms, distributing, and isolating the variable.

2.

FLASHCARD QUESTION

Front

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

Back

It means that the variable appears on both the left and right sides of the equation, requiring manipulation to isolate the variable.

3.

FLASHCARD QUESTION

Front

How do you solve the equation 4(2a + 3) = −3(a − 1) + 31?

Back

First, distribute: 8a + 12 = -3a + 3 + 31. Then combine like terms and isolate 'a' to find a = 2.

4.

FLASHCARD QUESTION

Front

What is the first step in solving the equation 2a - 4(a - 5) = 10?

Back

Distribute -4 to a and -5: 2a - 4a + 20 = 10.

5.

FLASHCARD QUESTION

Front

What does it mean if an equation has infinite solutions?

Back

It means that any value for the variable will satisfy the equation, often resulting from identical expressions on both sides.

6.

FLASHCARD QUESTION

Front

What is the solution to the equation 3x + 2 = 3x + 2?

Back

Infinite Solutions or All Real Numbers.

7.

FLASHCARD QUESTION

Front

How do you determine if an equation has no solution?

Back

If simplifying the equation leads to a false statement, such as 0 = 5, it has no solution.

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