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4.09 Problem solving with inequalities

Interactive practice questions

Construct and solve an inequality for the following situation:

"$5$5 groups of $p$p, added to $5$5, is less than $25$25."

Easy
1min

Construct and solve an inequality for the following situation:

"The sum of $2$2 groups of $x$x and $1$1 is at least $7$7."

Easy
1min

Consider the following situation:

"$2$2 less than $4$4 groups of $p$p is no more than $18$18".

Easy
1min

Sophia has a budget for school stationery of $\$32$$32, but has already spent $\$15.25$$15.25 on books and folders.

Let $p$p represent the amount that Sophia can spend on other stationery. Write an inequality that shows how much she can spend on other stationery, and solve for $p$p.

Easy
2min
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Outcomes

NC.7.EE.4

Use variables to represent quantities to solve real-world or mathematical problems.

NC.7.EE.4b

Construct inequalities to solve problems by reasoning about the quantities. o Fluently solve multi-step inequalities with the variable on one side, including those generated by word problems. o Compare an algebraic solution process for equations and an algebraic solution process for inequalities. o Graph the solution set of the inequality and interpret in context.

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