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Cogito

Grade 7 Math · Chapter 6 · Lesson 4

Practice Worksheet

Solving Inequalities

One step where the rules change.

10 problems · about 19 minutes · 7.EE.B.4

NameDate

Figure — use these to answer the problems

Pick a value and test it against the inequality.
-10-9-8-7-6-5-4-3-2-1012345678910

4

A value to test4
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

3 problems

  1. From “Solving p(x + q) = r”

    6(x + 2) = 42. What is x?

    Answer

  2. From “Solving px + q = r”

    4x + 3 = 23. What is x?

    Answer

  3. From “Two-Step Equations”

    Solve 7x − 2 = 33.

    Answer

Warm Up

Straightforward practice. Get the method working first.

3 problems

  1. 4x > 20. Smallest whole number x?

    Answer

  2. x + 4 < 9. Largest whole number x?

    Answer

  3. 3x > 12. Smallest whole number x?

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. Does dividing by a negative reverse the symbol? Answer 1 for yes, 0 for no.

    Answer

  2. 2x + 1 < 11. Largest whole number x?

    Answer

Stretch Yourself

Mixed problems. Work out what kind of question it is before you start.

2 problems

  1. The Inequality

    2x < 10. What is the largest whole number x can be?

    Answer

  2. The Reversal

    −3x > 9 gives x < −3. What is the largest whole number x can be?

    Answer