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Cogito

Grade 8 Math · Chapter 4 · Lesson 3

Practice Worksheet

Equations with Brackets and Fractions

Clear the clutter first.

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

NameDate

Figure — use these to answer the problems

The multiplier reaches every term inside the bracket.

6 + 6 + 6 = 18

3 × 6 = 18

3 × 6 = (3 × 2) + (3 × 4) = 6 + 12 = 18

The multiplier3
Inside the bracket6
Cut after column2
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

3 problems

  1. From “None, One, or Infinitely Many”

    7x + 2 = 7x + 9. How many solutions?

    • None.
    • Infinitely many.

  2. From “Variables on Both Sides”

    Solve 7x + 3 = 4x + 18.

    Answer

  3. From “Comparing Lines in Different Forms”

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

    Answer

Warm Up

Straightforward practice. Get the method working first.

3 problems

  1. 5(x + 1) = 40. What is x?

    Answer

  2. 2(x + 5) = 24. What is x?

    Answer

  3. x/5 = 4. What is x?

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. 3(x − 2) = 15. What is x?

    Answer

  2. x/4 + 1 = 6. What is x?

    Answer

Stretch Yourself

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

2 problems

  1. The Bracket

    4(x + 3) = 32. What is x?

    Answer

  2. The Fraction

    x/2 + 3 = 9. What is x?

    Answer