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Cogito

Grade 6 Math · Chapter 5 · Lesson 6

Practice Worksheet

Expanding Brackets

The distributive property, forwards.

10 problems · about 18 minutes · 6.EE.A.3, 6.NS.B.4

NameDate

Figure — use these to answer the problems

Cut the rectangle and watch one product become the sum of two.

9 + 9 + 9 = 27

3 × 9 = 27

3 × 9 = (3 × 4) + (3 × 5) = 12 + 15 = 27

Rows3
Columns9
Cut after column4
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

3 problems

  1. From “Combining Like Terms”

    Simplify 6n + 3n. How many n?

    Answer

  2. From “Writing Expressions from Words”

    Evaluate 4n − 3 when n is 5.

    Answer

  3. From “Equivalent Expressions”

    4(n + 3) expands to 4n + what?

    Answer

Warm Up

Straightforward practice. Get the method working first.

3 problems

  1. Expand 5(n + 3). What is the number term?

    Answer

  2. Expand 3(n + 5). What is the number term?

    Answer

  3. Expand 7(n + 2). What is the number term?

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. Is 3(n + 4) the same as 3n + 4?

    • No. The 4 must be multiplied too.
    • Yes.

  2. Evaluate 2(n + 6) when n is 4.

    Answer

Stretch Yourself

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

2 problems

  1. The Check

    Expand 5(n + 2), then evaluate when n is 3.

    Answer

  2. The Constant

    In 6(n + 5), what number does the 6 multiply the 5 by to give?

    Answer