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Cogito

Grade 6 Math · Chapter 6 · Lesson 3

Practice Worksheet

Inequalities and Two Variables

When many numbers work, not just one.

10 problems · about 18 minutes · 6.EE.B.8, 6.EE.C.9

NameDate

Figure — use these to answer the problems

Two variables linked by a rule trace out a line.
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y = 3x
Cost per kilo3
Fixed charge0
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

2 problems

  1. From “Solving One-Step Equations”

    Solve 8n = 96.

    Answer

  2. From “What Solving Means”

    What value of n makes n + 8 = 15 true?

    Answer

Warm Up

Straightforward practice. Get the method working first.

4 problems

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

    Answer

  2. How many numbers satisfy x > 5?

    • Infinitely many.
    • Exactly one.

  3. c = 5w. What is c when w = 6?

    Answer

  4. Is 8 a solution of x > 8?

    • No.
    • Yes.

Build It Up

The same ideas with more to keep track of.

2 problems

  1. Is 9 a solution of x > 8?

    • Yes.
    • No.

  2. c = 4w. What is c when w = 9?

    Answer

Stretch Yourself

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

2 problems

  1. The Rule

    c = 3w. What is c when w = 7?

    Answer

  2. The Ride

    You must be over 12 to ride. Is 12 allowed?

    • No. "Over 12" does not include 12.
    • Yes.