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Cogito

Grade 7 Math · Chapter 6 · Lesson 1

Practice Worksheet

Two-Step Equations

Undo the operations in reverse order.

10 problems · about 18 minutes · 7.EE.B.4

NameDate

Figure — use these to answer the problems

The bar shows the parts. Take the added amount off both sides first.
Three lots of x and Added
Equals
Three lots of x15
Added on4
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

2 problems

  1. From “Terminating and Repeating Decimals”

    Write 3/4 as a decimal.

    Answer

  2. From “Why Two Negatives Make a Positive”

    (−6) × (−4) = ?

    Answer

Warm Up

Straightforward practice. Get the method working first.

4 problems

  1. Solve 7x − 2 = 33.

    Answer

  2. In 3x + 4 = 19, which do you undo first?

    • The + 4, because it was done last.
    • The × 3.

  3. Solve 2x + 7 = 19.

    Answer

  4. Solve 4x − 5 = 23.

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. Solve 3(x + 2) = 21.

    Answer

  2. Solve 6x + 4 = 40.

    Answer

Stretch Yourself

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

2 problems

  1. The Taxi

    A taxi charges 3 plus 2 per mile, and the fare was 17. How many miles?

    Answermiles

  2. The Equation

    Solve 5x − 3 = 22.

    Answer