FAC.EI.9
Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Solve inequalities of these forms fluently. (7.EE.4b)
Example Problems
Caroline can spend a maximum of $80 on dinner. She has a coupon for $10 off the total bill, and each meal costs $12.
Write and solve a two-step inequality to find how many meals, , she can buy.
Write and solve a two-step inequality to find how many meals, , she can buy.
Logan has 18 coins in his coin collection. He buys 3 coins each week at the collector's club. He wants more than 60 coins total.
Write and solve a two-step inequality for the number of weeks, x, needed.
Write and solve a two-step inequality for the number of weeks, x, needed.
A photographer already has 24 completed portraits in a portfolio. They plan to add 5 portraits per week. They want the total to be at least 100 portraits.
Write a two-step inequality and solve for the number of weeks, .
Write a two-step inequality and solve for the number of weeks, .
Khan Academy ResourcesCompound inequalities reviewLinear equations with unknown coefficientsCompound inequalitiesUsing units to solve problemsMulti-step linear inequalitiesUsing inequalities to solve problemsComparing linear rates word problemsCompound inequalities: ORCompound inequalities: ANDA compound inequality with no solutionDouble inequalitiesUsing units to solve problems: Drug dosageCompound inequalities examplesComparing linear rates exampleLinear equations with unknown coefficientsUsing inequalities to solve problems

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