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Cogito

Grade 6 Math · Chapter 5 · Lesson 3

Practice Worksheet

Equivalent Expressions

Two recipes that always give the same number.

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

NameDate

Figure — use these to answer the problems

Distributing is the area model again, with a letter on one side.
104
4
  • 10 × 440
  • 4 × 416
  • 14 × 456
First number14
Second number4
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

2 problems

  1. From “Letters for Numbers”

    If a = 8, what is 4a − 5?

    Answer

  2. From “Exponents and Order of Operations”

    What is 5 + 2 × 3²?

    Answer

Warm Up

Straightforward practice. Get the method working first.

4 problems

  1. 4(n + 3) expands to 4n + what?

    Answer

  2. How can you check two expressions are equivalent?

    • Put the same value into both.
    • See whether they look alike.

  3. 6n + 2n simplifies to how many n?

    Answer

  4. 3(n + 5) expands to 3n + what?

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. 2(3n) simplifies to how many n?

    Answer

  2. Does 3n + 2 simplify further?

    • No. They are unlike terms.
    • Yes, to 5n.

Stretch Yourself

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

2 problems

  1. Combining

    4n + 3n simplifies to how many n?

    Answer

  2. Distributing

    5(n + 4) expands to 5n + what?

    Answer