Topics
4. Equations & Inequalities
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United States of AmericaVirginia
Grade 7

4.05 Solve one-step inequalities

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

Consider the following statement: $-10<-7$−10<−7

a

Add $2$2 to both sides of the inequality and simplify.

b

After adding $2$2 to both sides, does the inequality still hold true?

Yes

A

No

B
Easy
< 1min

Consider the following statement: $4>-2$4>−2

Easy
< 1min

Consider the following statement: $1<3$1<3

Easy
< 1min

Consider the following statement: $5<7$5<7

Easy
< 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.4a

Apply properties of real numbers and the addition, subtraction, multiplication, and division properties of inequality to solve one- and two-step inequalities in one variable. Coefficients and numeric terms will be rational.

7.PFA.4b

Investigate and explain how the solution set of a linear inequality is affected by multiplying or dividing both sides of the inequality statement by a rational number less than zero.

7.PFA.4c

Represent solutions to one- or two-step linear inequalities in one variable algebraically and graphically using a number line.

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.

7.PFA.4h

Describe the differences and similarities between solving linear inequalities in one variable and linear equations in one variable.

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