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Cogito

Grade 8 Math · Chapter 4 · Lesson 4

Practice Worksheet

Writing Equations from Situations

Turning a story into something solvable.

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

NameDate

Figure — use these to answer the problems

Two plans as two lines. Where they cross is where the costs match.
-10-10-5-5551010
y = 5x + 2
Cost per month5
Joining fee2
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

3 problems

  1. From “Equations with Brackets and Fractions”

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

    Answer

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

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

    • None.
    • Infinitely many.

  3. From “Variables on Both Sides”

    Solve 7x + 3 = 4x + 18.

    Answer

Warm Up

Straightforward practice. Get the method working first.

3 problems

  1. 6 + 5m = 3m + 20. What is m?

    Answer

  2. 15 + 2m = 31. What is m?

    Answer

  3. 5m = 3m + 12. What is m?

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. 8 + 4m = 12 + 2m. What is m?

    Answer

  2. At m = 2, what is 12 + 2m?

    Answer

Stretch Yourself

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

2 problems

  1. The Two Plans

    10 + 3m = 25. What is m?

    Answer

  2. The Cost

    At m = 10, what does 20 + 5m cost, in pounds?

    Answer