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Cogito

Algebra 1 · Chapter 1 · Lesson 4

Practice Worksheet

Variables on Both Sides

Gather the letters on one side and the numbers on the other.

11 problems · about 22 minutes · A-REI.B.3

NameDate

Figure — use these to answer the problems

Two bars of equal length. Removing the same amount from each keeps them equal.
x terms and numbers
the whole side
The x part12
The number part8
Figure 1

Warm Up

Straightforward practice. Get the method working first.

4 problems

  1. 9x + 2 = 4x + 22. What is x?

    Answer

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

    Answer

  3. 6x = 2x + 16. What is x?

    Answer

  4. 5x − 4 = 3x + 6. What is x?

    Answer

Build It Up

The same ideas with more to keep track of.

3 problems

  1. 2x + 9 = 5x. What is x?

    Answer

  2. 7x + 2 = 4x + 20. What is x?

    Answer

  3. x + 12 = 4x. What is x?

    Answer

Stretch Yourself

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

4 problems

  1. Order the steps for solving 6x + 1 = 2x + 13.

    Write 1 to 4 in the boxes to put these in order.

    • Subtract 2x from both sides
    • Subtract 1 from both sides
    • Divide both sides by 4
    • Check by substituting

  2. 8x − 5 = 3x + 15. What is x?

    Answer

  3. Both Sides

    4x + 2 = 2x + 10. What is x?

    Answer

  4. Two Gyms

    Gym A costs 20 + 5m; gym B costs 35 + 2m. After how many months are they equal?

    Answer