Solving Multi-Step Inequalities with Word Problems

Front

What is a multi-step inequality?

Back

A multi-step inequality is an inequality that requires more than one step to solve, often involving operations like addition, subtraction, multiplication, or division.

Front

How do you solve the inequality 3(x - 2) < 2(x + 9)?

Back

First, distribute: 3x - 6 < 2x + 18. Then, subtract 2x from both sides: x - 6 < 18. Finally, add 6 to both sides: x < 24.

Front

What does the solution x < 24 represent on a number line?

Back

It represents all numbers to the left of 24, not including 24 itself.

Tags

CCSS.6.EE.B.8

Front

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

Back

The solution is y > -3.

Tags

CCSS.7.EE.B.4B

Front

How do you isolate y in the inequality -3y < 9?

Back

Divide both sides by -3, remembering to flip the inequality sign: y > -3.

Tags

CCSS.6.EE.B.8

Front

What does an open circle mean when graphing inequalities?

Back

An open circle indicates that the number is not included in the solution set.

Tags

CCSS.6.EE.B.8

Front

What does a closed circle mean when graphing inequalities?

Back

A closed circle indicates that the number is included in the solution set.

Tags

CCSS.6.EE.B.8

Front

If b < 6, how would you graph this inequality?

Back

You would use an open circle at 6 and shade to the left.

Tags

CCSS.6.EE.B.8

Front

What is the change Eleni received after buying 2 pounds of grapes at $3.49 per pound with a $10 bill?

Back

Eleni received $3.02 in change.

Tags

CCSS.7.EE.B.4A

Front

How do you determine the correct letter for the inequality 6 > x?

Back

You would choose the letter that represents values less than 6.

Tags

CCSS.6.EE.B.5