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 typically involves addition or subtraction followed by multiplication or division.

Front

How do you solve the inequality: -8k - 4 ≤ -60?

Back

Add 4 to both sides: -8k ≤ -56. Then divide by -8 (remember to flip the inequality): k ≥ 7.

Tags

CCSS.7.EE.B.4B

Front

What does the solution k ≥ 7 mean in a real-world context?

Back

It means that the value of k must be 7 or greater to satisfy the inequality.

Tags

CCSS.6.EE.B.8

Front

How do you solve the inequality: 5x - 7 ≥ 8?

Back

Add 7 to both sides: 5x ≥ 15. Then divide by 5: x ≥ 3.

Tags

CCSS.7.EE.B.4B

Front

What is the significance of the inequality symbol '≥'?

Back

The symbol '≥' means 'greater than or equal to', indicating that the value can be either greater than or exactly equal to the number.

Tags

CCSS.6.EE.B.8

Front

Solve the inequality: 8m - 9 > 71.

Back

Add 9 to both sides: 8m > 80. Then divide by 8: m > 10.

Tags

CCSS.7.EE.B.4B

Front

What does the solution m > 10 indicate?

Back

It indicates that m must be any value greater than 10.

Tags

CCSS.6.EE.B.8

Front

How do you express 'twice a number x plus 8 is greater than 12' as an inequality?

Back

The expression is 2x + 8 > 12.

Tags

CCSS.7.EE.B.4B

Front

What is the first step to solve the inequality 7b - 3 < 11?

Back

Add 3 to both sides: 7b < 14.

Tags

CCSS.7.EE.B.4B

Front

What do you do after simplifying 7b < 14?

Back

Divide both sides by 7: b < 2.

Tags

CCSS.6.EE.B.8