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Cogito

Grade 6 Math · Chapter 6 · Lesson 5

Practice Worksheet

Inequalities on a Number Line

When the answer is a stretch, not a point.

10 problems · about 17 minutes · 6.EE.B.8

NameDate

Figure — use these to answer the problems

Place a value and check whether it satisfies the inequality.
-10-9-8-7-6-5-4-3-2-1012345678910

6

A value to test6
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

3 problems

  1. From “Writing Equations from Stories”

    7n = 63. What is n?

    Answer

  2. From “Inequalities and Two Variables”

    c = 6w. What is c when w = 8?

    Answer

  3. From “Solving One-Step Equations”

    Solve 8n = 96.

    Answer

Warm Up

Straightforward practice. Get the method working first.

3 problems

  1. Smallest whole number satisfying x > 11?

    Answer

  2. Does 7 satisfy x > 5? Answer 1 for yes, 0 for no.

    Answer

  3. Does 5 satisfy x > 5? Answer 1 for yes, 0 for no.

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. Smallest whole number satisfying x > 2?

    Answer

  2. Largest whole number satisfying x < 6?

    Answer

Stretch Yourself

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

2 problems

  1. The Ride

    You must be over 8 to ride. Is 8 allowed? Answer 1 for yes, 0 for no.

    Answer

  2. The Smallest Whole

    What is the smallest whole number that satisfies x > 8?

    Answer