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4.07 Solve problems with inequalities

Adaptive
Worksheet

Interactive practice questions

Answer the following:

a

Which one of the following inequalities describes "half of $x$x is no more than four"?

$2x\le4$2x4

A

$2x\ge4$2x4

B

$\frac{x}{2}\le4$x24

C

$\frac{x}{2}\ge4$x24

D
b

Solve for $x$x.

Easy
< 1min

Consider the following situation:

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

Medium
1min

Construct and solve an inequality for the following situation:

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

Medium
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."

Medium
1min
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Outcomes

7.PFA.4

The student will write and solve one- and two-step linear inequalities in one variable, including problems in context, that require the solution of a one- and two-step linear inequality in one variable.

7.PFA.4d

Write one- or two-step linear inequalities in one variable to represent a verbal situation, including those in context.

7.PFA.4e

Create a verbal situation in context given a one or two-step linear inequality in one variable.

7.PFA.4f

Solve problems in context that require the solution of a one- or two-step inequality.

7.PFA.4g

Identify a numerical value(s) that is part of the solution set of as given one- or two-step linear inequality in one variable.

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