Skip to lesson

Choose “Save as PDF” in the print dialog to keep a copy.

Cogito

Grade 7 Math · Chapter 6 · Lesson 2

Practice Worksheet

Solving px + q = r

Undoing two operations in the right order.

10 problems · about 19 minutes · 7.EE.B.4

NameDate

Figure — use these to answer the problems

Three equal unknown parts and a known part make the total.
3x and q
r
The three x parts together15
The known part5
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

3 problems

  1. From “Two-Step Equations”

    Solve 7x − 2 = 33.

    Answer

  2. From “Terminating and Repeating Decimals”

    Write 3/4 as a decimal.

    Answer

  3. From “Why Two Negatives Make a Positive”

    (−6) × (−4) = ?

    Answer

Warm Up

Straightforward practice. Get the method working first.

3 problems

  1. 4x + 3 = 23. What is x?

    Answer

  2. 5x + 2 = 17. What is x?

    Answer

  3. 3x − 4 = 11. What is x?

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. 2x + 9 = 3. What is x?

    Answer

  2. 6x − 5 = 19. What is x?

    Answer

Stretch Yourself

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

2 problems

  1. The Equation

    2x + 6 = 18. What is x?

    Answer

  2. The Taxi Again

    A taxi charges £3 plus £2 a mile. A fare of £17 covers how many miles?

    Answer