Solving Two-Step Inequalities

Solving Two-Step Inequalities

Assessment

Flashcard

Mathematics

8th Grade

Hard

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a two-step inequality?

Back

A two-step inequality is an inequality that requires two operations to isolate the variable. For example, in the inequality 2x + 3 < 7, you would first subtract 3 from both sides and then divide by 2.

2.

FLASHCARD QUESTION

Front

How do you solve the inequality 22 < 6c + 4?

Back

Subtract 4 from both sides to get 18 < 6c, then divide by 6 to find c > 3.

3.

FLASHCARD QUESTION

Front

What does the solution k ≤ -5 represent in a two-step inequality?

Back

It means that k can be any number less than or equal to -5.

4.

FLASHCARD QUESTION

Front

How do you interpret the inequality 25 < X - 10?

Back

Add 10 to both sides to get 35 < X, which means X > 35.

5.

FLASHCARD QUESTION

Front

What is the first step in solving the inequality 2 - 3x ≤ 20?

Back

Subtract 2 from both sides to get -3x ≤ 18.

6.

FLASHCARD QUESTION

Front

What is the solution to the inequality -4x + 1 > 21?

Back

Subtract 1 from both sides to get -4x > 20, then divide by -4 (remember to flip the inequality) to find x < -5.

7.

FLASHCARD QUESTION

Front

What does it mean to flip the inequality sign?

Back

Flipping the inequality sign occurs when you multiply or divide both sides of an inequality by a negative number.

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