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, typically involving addition or subtraction followed by multiplication or division.

2.

FLASHCARD QUESTION

Front

How do you solve the inequality 2 - 3x ≤ 20?

Back

To solve 2 - 3x ≤ 20, first subtract 2 from both sides to get -3x ≤ 18, then divide by -3 (remember to flip the inequality sign) to find x ≥ -6.

3.

FLASHCARD QUESTION

Front

What does it mean to flip the inequality sign when dividing by a negative number?

Back

Flipping the inequality sign means that if you divide or multiply both sides of an inequality by a negative number, the direction of the inequality changes.

4.

FLASHCARD QUESTION

Front

How do you interpret the solution x ≥ 3?

Back

The solution x ≥ 3 means that x can be any number greater than or equal to 3.

5.

FLASHCARD QUESTION

Front

What is the solution to the inequality 11 > -3y + 2?

Back

To solve 11 > -3y + 2, subtract 2 from both sides to get 9 > -3y, then divide by -3 (flipping the sign) to find y > -3.

6.

FLASHCARD QUESTION

Front

What does the inequality x < -20 represent on a number line?

Back

The inequality x < -20 represents all numbers to the left of -20 on a number line, not including -20 itself.

7.

FLASHCARD QUESTION

Front

How do you solve the inequality 25 < x - 10?

Back

To solve 25 < x - 10, add 10 to both sides to get 35 < x, or x > 35.

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