Inequality: Word Problems

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Tags

CCSS.6.EE.B.8

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.

Tags

CCSS.6.EE.B.8

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'.

Tags

CCSS.6.EE.B.8

Front

How do you represent a situation where you want to have at least a certain amount of money left?

Back

You can represent this situation using an inequality that shows the initial amount minus withdrawals is greater than or equal to the desired amount.

Tags

CCSS.6.EE.B.8

Front

If Keith has $500 and wants to have at least $200 left after withdrawals of $25 per week, what inequality represents this situation?

Back

500 - 25x ≥ 200.

Tags

CCSS.7.EE.B.4B

Front

What is the first step to solve an inequality?

Back

The first step is to isolate the variable on one side of the inequality.

Tags

CCSS.6.EE.B.8

Front

If Chris can spend less than $100 on DVDs costing $15.99 each plus $9.99 shipping, how do you set up the inequality?

Back

15.99x + 9.99 < 100, where x is the number of DVDs.

Tags

CCSS.7.EE.B.4B

Front

What does it mean if a solution to an inequality is 'x ≤ 12'?

Back

It means that the value of x can be 12 or any number less than 12.

Tags

CCSS.6.EE.B.8

Front

How do you determine the maximum number of items you can buy with a limited budget?

Back

Set up an inequality that represents the total cost and solve for the number of items.

Front

What is the significance of the term 'at most' in an inequality?

Back

'At most' indicates that the value can be equal to or less than a certain number.

Tags

CCSS.6.EE.B.8