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Cogito

Grade 7 Math · Chapter 6 · Lesson 3

Practice Worksheet

Solving p(x + q) = r

Two routes to the same answer.

10 problems · about 19 minutes · 7.EE.B.4, 7.EE.A.1

NameDate

Figure — use these to answer the problems

The bracket multiplied out, drawn as a rectangle cut in two.

7 + 7 + 7 = 21

3 × 7 = 21

3 × 7 = (3 × 3) + (3 × 4) = 9 + 12 = 21

The multiplier3
Inside the bracket7
Cut after column3
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

3 problems

  1. From “Solving px + q = r”

    4x + 3 = 23. What is x?

    Answer

  2. From “Two-Step Equations”

    Solve 7x − 2 = 33.

    Answer

  3. From “Terminating and Repeating Decimals”

    Write 3/4 as a decimal.

    Answer

Warm Up

Straightforward practice. Get the method working first.

3 problems

  1. 6(x + 2) = 42. What is x?

    Answer

  2. 3(x + 2) = 18. What is x?

    Answer

  3. 5(x + 1) = 30. What is x?

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. 2(x − 5) = 8. What is x?

    Answer

  2. Expand 3(x + 4). What is the number term?

    Answer

Stretch Yourself

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

2 problems

  1. The Bracket

    2(x + 3) = 14. What is x?

    Answer

  2. The Other Route

    4(x − 1) = 20. What is x?

    Answer