Grade 6 Mathematics · Unit 8: Equations & InequalitiesStandard 6.AT.8

Lesson 8.3Division Equations

Apply Day · Set BSecond form · new problems, same idea

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Learning target I can solve one-step multiplication and division equations using inverse operations.

Remember8.3 · Part II

Solving Multiplication & Division Equations

  1. Identify the operation applied to the variable
  2. Use the inverse operation: Divide to undo multiplication; multiply to undo division
  3. Balance: Apply the inverse operation to both sides to isolate the variable

Words: Inverse operation (Operación inversa)Multiply (Multiplicar)Divide (Dividir)Isolate (Despejar)Coefficient (Coeficiente)

  1. 1Complete each step, then write the final answer.

    Solve 6x = 54.

    Show your work
    Final answer:
  2. 2Complete each step, then write the final answer.

    Solve n ÷ 7 = 12.

    Show your work
    Final answer:
  3. 3Complete each step, then write the final answer.

    Solve y ÷ 0.4 = 15.

    Show your work
    Final answer:
  4. 4Complete each step, then write the final answer.

    One box holds 20 bags of crackers. The student council needs 140 bags. Write and solve an equation for the number of boxes b.

    Show your work
    Final answer:
  5. 5Complete each step, then write the final answer.

    A runner ran 4.5 miles in 0.75 hours at the same speed. Write and solve an equation for her speed s in miles per hour.

    Show your work
    Final answer:
  6. 6Complete each step, then write the final answer.

    A pack of 6 pens costs $4.50. A pack of 10 pens costs $7.20. Write and solve an equation for each pack. What is the lower price for one pen?

    Show your work
    Final answer:
  7. 7Circle the letter of the best answer. Show how you know.

    Solve: 6x = 42

    1. Ax = 7
    2. Bx = 36
    3. Cx = 48
    4. Dx = 252
    Show your work
  8. 8Circle the letter of the best answer. Show how you know.

    Solve: n / 3 = 8

    1. An = 3
    2. Bn = 5
    3. Cn = 11
    4. Dn = 24
    Show your work
  9. 9Circle the letter of the best answer. Show how you know.

    Solve: 9m = 63

    1. Am = 7
    2. Bm = 54
    3. Cm = 72
    4. Dm = 567
    Show your work
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