Solving two step inequalities

Front

What is a two-step inequality?

Back

A two-step inequality is an inequality that requires two operations to isolate the variable. It often involves addition or subtraction followed by multiplication or division.

Tags

CCSS.6.EE.B.8

Front

How do you solve the inequality u/7 – 1 ≤ 1?

Back

Add 1 to both sides: u/7 ≤ 2. Then multiply both sides by 7: u ≤ 14.

Tags

CCSS.7.EE.B.4B

Front

What is the solution to the inequality -3x - 4 < 5?

Back

Add 4 to both sides: -3x < 9. Then divide by -3 (remember to flip the inequality): x > -3.

Tags

CCSS.6.EE.B.8

Front

How do you solve the equation -5t + 9 = 24?

Back

Subtract 9 from both sides: -5t = 15. Then divide by -5: t = -3.

Tags

CCSS.7.EE.B.4A

Front

What does the inequality 11 > -3y + 2 mean?

Back

Subtract 2 from both sides: 9 > -3y. Then divide by -3 (flip the inequality): -3 < y.

Tags

CCSS.7.EE.B.4B

Front

What is the solution to the inequality -9a - 1 < 26?

Back

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

Tags

CCSS.6.EE.B.8

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 first step in solving a two-step inequality?

Back

Isolate the term with the variable by performing the opposite operation (addition or subtraction).

Tags

CCSS.7.EE.B.4B

Front

What does it mean to isolate a variable in an inequality?

Back

To isolate a variable means to get the variable alone on one side of the inequality.

Tags

CCSS.6.EE.B.8

Front

What is the solution set for the inequality x > -3?

Back

The solution set includes all real numbers greater than -3.

Tags

CCSS.6.EE.B.8