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Writing and Solving Inequalities from Real-Life Scenarios

This resource focuses on forming and solving inequalities based on practical situations. It covers scenarios like delivery times, speed limits, budgeting for rides, saving accounts, and shopping expenses. For example, you'll learn to express "Our delivery time is guaranteed to be less than 30 minutes" as an inequality, or determine how many laps Ella swims on Monday based on her weekly total. Engage with various real-life contexts to enhance your understanding of inequalities and improve your problem-solving skills in mathematics.

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Writing and Solving Inequalities from Real-Life Scenarios

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  1. More Words!

  2. Inequality Key Words • At least – x> • No more than – x< • More than – x > • Less than – x <

  3. Write an inequality for each sentence: • 1. Our delivery time is guaranteed to be less than 30 minutes. • 2. Your speed must be at least 45 miles per hour on the highway.

  4. 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 and determine how many miles Katie can travel.

  5. Keith has $500 in a savings account at the beginning of summer. He wants to have at least $200 in the account by the end of summer. He withdraws $25 each week for food and movie tickets. Write an inequality and determine how many weeks Keith can withdraw money from his account.

  6. At the market, Meyer buys a bunch of bananas for $0.35 per pound and a frozen pizza for $4.99. The total for his purchase was $6.04, without tax.How many pounds of bananas did Meyer buy?

  7. Ella swims four times a week at her club’s pool. She swims the same number of laps on Monday, Wednesday, and Friday, and 15 laps on Saturday.She swims a total of 51 laps each week.How many laps does she swim on Monday?

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