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Cogito

Integrated Math 1 · Chapter 1 · Lesson 1

Practice Worksheet

Solving Linear Equations

Undo the operations, one at a time.

12 problems · about 20 minutes · A-REI.B.3, A-REI.A.1

NameDate

Figure — use these to answer the problems

The whole bar is 20. One part is the constant 5, so the other part must be the 3x.
3x and 5
20
The 3x part15
The constant5
Figure 1

Warm Up

Straightforward practice. Get the method working first.

5 problems

  1. 4x + 6 = 26. What is x?

    Answer

  2. The variables cancel and leave 7 = 7. How many solutions?

    • Every number is a solution.
    • There are no solutions.

  3. x + 9 = 15. What is x?

    Answer

  4. 4x = 28. What is x?

    Answer

  5. 5x − 3 = 22. What is x?

    Answer

Build It Up

The same ideas with more to keep track of.

3 problems

  1. 3(x + 2) = 18. What is x?

    Answer

  2. 7x = 4x + 12. What is x?

    Answer

  3. 2x + 3 = 2x + 9. How many solutions?

    Answer

Stretch Yourself

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

4 problems

  1. Put the solving steps for 3x + 5 = 20 in order.

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

    • Subtract 5 from both sides.
    • Simplify to 3x = 15.
    • Divide both sides by 3.
    • Check by substituting back.

  2. 6x − 4 = 2x + 12. What is x?

    Answer

  3. The Equation

    2x + 7 = 19. What is x?

    Answer

  4. The Tickets

    Tickets cost $8 each plus a $5 booking fee. A total of $53 buys how many tickets?

    Answer