Word Problems and Inequalities

Word Problem Strategies Read the entire problem Highlight/underline the important information and key words that you need to solve the problem Identify your variables Write the equation or inequality Solve and check!

Inequality key words Less than or Equal to: at most, no more than Less than: Is less than, fewer than, below Greater than or equal to: At least, no less than Greater than: More than, above

Twenty is more than a number

Thirty times a number is at most 90

The difference of a number and 3 is no more than 2

To ride The Scream Machine at Six Flags Over Georgia, you must be at least 48 inches tall. Write an inequality to represent h, the required height to ride the Scream Machine

Keith has $500 in a savings account at the beginning of the summer Keith has $500 in a savings account at the beginning of the summer. He wants to have at least $200 in the account by the end of the summer. He withdraws $25 each week for food, clothes, and movie tickets. Write an inequality that represents Keith’s situation How many weeks can Keith withdraw from his account?

Your elementary school is having a fall carnival Your elementary school is having a fall carnival. Admission into the carnival is $3 and each game inside the carnival costs $0.25. Write an inequality that represents the possible number of games that can be played having $10. What is the maximum number of games that can be played?

Yellow Cab Taxi charges a $1. 75 flat rate in addition to $0 Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile. Katie has no more than $10 to spend on a ride. Write an inequality that represents Katie’s situation How many miles can Katie travel without exceeding her limit? Justify your answer

S.T.O.P. and Think! S: How did we start the lesson? T: What was the topic of the lesson? O: What opportunities did we have to practice P: What was the purpose?