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6.08 Problem solving with inequalities

Adaptive
Worksheet

Interactive practice questions

Sarah is gathering signatures on a petition to save the Orangutans. If she gets $3$3 times the number of signatures that she has right now, she will have at least enough to get a special mention on the Save the Orangutans website, an amazing $9000$9000 signatures. How many signatures has Sarah collected so far? Let $n$n be the number of signatures she has now.

Medium
1 min

Oprah charges $\$34.50$$34.50 to style hair, as well as $\$4$$4 per foil. Pauline would like a style and foil, but has no more than $\$58.50$$58.50 to spend.

Medium
2 min

The table shows the times of six swimmers in a $1500$1500 meter race. Only those who achieve a time of $24$24 minutes or below qualify for the final.

Use the inequality $t$t$\le$$24$24, where $t$t is the time of each swimmer, to find the two swimmers who qualify for the final.

Medium
< 1 min

Lachlan is planning on going on vacation. He has saved $\$2118.40$$2118.40, and spends $\$488.30$$488.30 on his airplane ticket.

Medium
3 min
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Outcomes

7.EE.B.4

Use variables to represent quantities in a realworld or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.

7.EE.B.4.B

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. Graph the solution set of the inequality and interpret it in the context of the problem.

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