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Cogito

Grade 8 Math · Chapter 4 · Lesson 1

Practice Worksheet

Variables on Both Sides

Gather them up first.

10 problems · about 19 minutes · 8.EE.C.7

NameDate

Figure — use these to answer the problems

Both bars must be equal. Take the same amount off each.
Left side
Right side
Left side22
Right side22
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

2 problems

  1. From “Comparing Lines in Different Forms”

    At x = 0, y = 8; at x = 5, y = 33. What is the slope?

    Answer

  2. From “Unit Rate as Slope”

    A proportional line through (7, 28). What is its slope?

    Answer

Warm Up

Straightforward practice. Get the method working first.

4 problems

  1. Solve 7x + 3 = 4x + 18.

    Answer

  2. What is the first move with variables on both sides?

    • Get all the variables onto one side.
    • Divide by the first number.

  3. Solve 5x = 3x + 8.

    Answer

  4. Solve 8x − 2 = 5x + 10.

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. Solve 4x + 6 = 2x + 14.

    Answer

  2. Solve 9x − 5 = 6x + 7.

    Answer

Stretch Yourself

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

2 problems

  1. The Equation

    Solve 6x + 1 = 4x + 11.

    Answer

  2. The Two Plans

    Plan A costs 20 + 5 per month, plan B costs 10 + 7 per month. After how many months are they equal?

    Answermonths