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Cogito

Grade 6 Math · Chapter 6 · Lesson 6

Practice Worksheet

Two Variables That Move Together

One depends on the other.

10 problems · about 19 minutes · 6.EE.C.9

NameDate

Figure — use these to answer the problems

Plot an hours-and-money pair. Points from one rule line up.
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(3, 9)
Hours worked3
Money earned9
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

3 problems

  1. From “Inequalities on a Number Line”

    Smallest whole number satisfying x > 11?

    Answer

  2. From “Writing Equations from Stories”

    7n = 63. What is n?

    Answer

  3. From “Inequalities and Two Variables”

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

    Answer

Warm Up

Straightforward practice. Get the method working first.

3 problems

  1. If y = 5x, what is y when x is 8?

    Answer

  2. If m = 3h, what is m when h is 5?

    Answer

  3. If m = 3h, what is h when m is 21?

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. In "money earned depends on hours worked", which is independent?

    • Hours worked.
    • Money earned.

  2. If y = 4x, what is y when x is 6?

    Answer

Stretch Yourself

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

2 problems

  1. The Taxi

    At £2 a mile, what is the fare for 7 miles, in pounds?

    Answer

  2. Working Backwards

    At £2 a mile, a fare of £18 covers how many miles?

    Answer