Two-Step Inequalities Word Problems - Math 7

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What is a two-step inequality?

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A two-step inequality is an inequality that requires two operations to isolate the variable. It often involves addition or subtraction followed by multiplication or division.

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How do you solve a two-step inequality?

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1. Use addition or subtraction to move the constant term to the other side. 2. Use multiplication or division to isolate the variable. Remember to reverse the inequality sign if you multiply or divide by a negative number.

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What does the symbol '≥' mean in an inequality?

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'≥' means 'greater than or equal to'. It indicates that the value can be either greater than or exactly equal to the number.

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What does the symbol '≤' mean in an inequality?

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'≤' means 'less than or equal to'. It indicates that the value can be either less than or exactly equal to the number.

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In the problem, 'Aaron needs at least $240 to buy new headphones. He has already saved $30. He earns $14 per car that he washes.' What is the inequality that represents this situation?

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In the problem, 'Kate needed $100 to buy a graphing calculator. Her neighbor will pay her $5 per hour to babysit and her Father gave her $10 for mowing the lawn.' What is the inequality that represents the minimum amount of hours she will need to babysit?

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