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Cogito

Grade 6 Math · Chapter 5 · Lesson 4

Practice Worksheet

Writing Expressions from Words

Turning a sentence into algebra.

10 problems · about 17 minutes · 6.EE.A.2, 6.EE.B.6

NameDate

Figure — use these to answer the problems

An unknown amount with a known amount added to it.
n and added on
n + 3
The unknown, n12
Added on3
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

3 problems

  1. From “Equivalent Expressions”

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

    Answer

  2. From “Letters for Numbers”

    If a = 8, what is 4a − 5?

    Answer

  3. From “Exponents and Order of Operations”

    What is 5 + 2 × 3²?

    Answer

Warm Up

Straightforward practice. Get the method working first.

3 problems

  1. Evaluate 4n − 3 when n is 5.

    Answer

  2. Which is "four less than n"?

    • n − 4
    • 4 − n

  3. Which is "double the sum of n and 5"?

    • 2(n + 5)
    • 2n + 5

Build It Up

The same ideas with more to keep track of.

2 problems

  1. Evaluate 3n + 2 when n is 5.

    Answer

  2. Evaluate 2(n + 4) when n is 3.

    Answer

Stretch Yourself

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

2 problems

  1. The Pencils

    n pencils, and 4 more are bought. Evaluate the expression when n is 10.

    Answer

  2. The Boxes

    Each box holds n pens, and there are 6 boxes. Evaluate when n is 8.

    Answer