2-step Inequalities

Front

What is a 2-step inequality?

Back

A 2-step inequality is an inequality that requires two operations to isolate the variable, typically involving addition or subtraction followed by multiplication or division.

Tags

CCSS.6.EE.B.8

Front

How do you solve the inequality -9a - 1 < 26?

Back

Add 1 to both sides: -9a < 27. Then divide by -9 (remember to flip the inequality): a > -3.

Tags

CCSS.6.EE.B.8

Front

What does the solution x ≥ -6 represent in a number line?

Back

It represents all numbers greater than or equal to -6, including -6 itself.

Tags

CCSS.6.EE.B.8

Front

How do you solve the inequality -4x + 5 ≤ 29?

Back

Subtract 5 from both sides: -4x ≤ 24. Then divide by -4 (flip the inequality): x ≥ -6.

Tags

CCSS.6.EE.B.8

Front

What is the solution to the inequality 3x + 4 > 13?

Back

Subtract 4 from both sides: 3x > 9. Then divide by 3: x > 3.

Tags

CCSS.7.EE.B.4B

Front

How do you interpret the inequality 16 - 4a > 8?

Back

Subtract 16 from both sides: -4a > -8. Then divide by -4 (flip the inequality): a < 2.

Tags

CCSS.7.EE.B.4B

Front

What does the solution b < 2 indicate?

Back

It indicates that b can be any number less than 2.

Tags

CCSS.6.EE.B.8

Front

What is the first step in solving a 2-step inequality?

Back

The first step is usually to isolate the term with the variable by adding or subtracting a constant.

Tags

CCSS.7.EE.B.4B

Front

What happens to the inequality sign when you multiply or divide by a negative number?

Back

The inequality sign flips direction.

Tags

CCSS.6.EE.B.8

Front

What is the solution to the inequality 7b - 3 < 11?

Back

Add 3 to both sides: 7b < 14. Then divide by 7: b < 2.

Tags

CCSS.7.EE.B.4B