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Cogito

Algebra 1 · Chapter 1 · Lesson 2

Practice Worksheet

Multi-Step and Literal Equations

Solving for a letter, whichever letter it is.

10 problems · about 20 minutes · A-REI.A.1, A-REI.B.3, A-CED.A.4

NameDate

Figure — use these to answer the problems

Both bars stay equal as long as the same is done to each.
Left side
Right side
Left side26
Right side26
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

2 problems

  1. From “Expressions and Their Structure”

    3(4x − 2) expands to 12x − what?

    Answer

  2. From “Expressions and Their Structure”

    What makes two terms like terms?

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

Warm Up

Straightforward practice. Get the method working first.

4 problems

  1. Solve 3(x + 4) = x + 20.

    Answer

  2. Where should you check your answer?

    • In the original equation.
    • In the last line you wrote.

  3. Solve 4(x − 1) = 2x + 6.

    Answer

  4. Solve 5x + 3 = 2x + 21.

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. P = 2l + 2w with P = 30 and l = 9. What is w?

    Answer

  2. Solve x/3 + 2 = 6.

    Answer

Stretch Yourself

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

2 problems

  1. The Equation

    Solve 2(x + 3) = 3x − 1.

    Answer

  2. The Formula

    A = lw with A = 48 and l = 6. What is w?

    Answer