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Cogito

Algebra 1 · Chapter 1 · Lesson 1

Practice Worksheet

Expressions and Their Structure

Reading an expression before touching it.

8 problems · about 18 minutes · A-SSE.A.1, A-SSE.A.2

NameDate

Figure — use these to answer the problems

Distributing is the area model with a letter on one side.
203
5
  • 20 × 5100
  • 3 × 515
  • 23 × 5115
First number23
Second number5
Figure 1

Warm Up

Straightforward practice. Get the method working first.

4 problems

  1. 3(4x − 2) expands to 12x − what?

    Answer

  2. What makes two terms like terms?

    • The same variable to the same power.
    • The same coefficient.

  3. 5(2x + 3) expands to 10x + what?

    Answer

  4. 9x − 2x simplifies to how many x?

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. In 4x² − 7x + 2, what is the coefficient of x?

    Answer

  2. Can 3x and 3x² be combined?

    • No. Different powers.
    • Yes.

Stretch Yourself

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

2 problems

  1. Combining

    7x + 4x simplifies to how many x?

    Answer

  2. Distributing

    6(x + 4) expands to 6x + what?

    Answer