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6th grade · Math · Unit 6 of 17

Equations

Order of operations, solve for n

What your child practices

Using the order of operations (brackets, then × and ÷, then + and −) and solving one-step equations like 6n = 42 with inverse operations, including writing equations for word problems.

Arizona Academic Standards learning standard: 6.EE.B.5; 6.EE.B.7 · solving one-step equations of the form x + p = q and px = q

How we explain it

Children can open this short lesson before they practice.

  1. Follow the order of operations: brackets first.
  2. Then multiply and divide, left to right.
  3. Then add and subtract, left to right.

Example: 4 + 3 × 2 = ? Multiply first: 3 × 2 = 6. Then add: 4 + 6 = 10. Answer: 10

Equations in Arizona

In the Arizona Academic Standards, this is unit 6 of 17 in 6th grade Math, after Patterns & Graphs and before Perimeter & Area.

Gradelings describes a child's practice on this unit as Beginning, Approaching, Meeting or Exceeding (Four practice steps). That reflects practice, not a report-card mark: the teacher decides the mark.

Source: Arizona Department of Education

Sample questions

A taste of this unit. In the app, questions change every time and get easier or harder to match your child.

  1. Question 1

    Solve for k.

    k − 20 = 47

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  2. Question 2

    Which step solves 5m = 55 for m?

    5m = 55

    • Divide both sides by 5
    • Subtract 5 from both sides
    • Multiply both sides by 5
    • Add 5 to both sides

  3. Question 3

    Solve for y.

    2y = 6

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  4. Question 4

    A bag of n apples is shared equally among 9 friends. Each friend gets 10 apples. Which equation fits?

    • n − 9 = 10
    • n ÷ 9 = 10
    • n + 9 = 10
    • 9n = 10

  5. Question 5

    What is 63 − 24 ÷ 4?

    63 − 24 ÷ 4 = ?

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  6. Question 6

    6 tickets to a science center cost $24 in all. Each ticket costs the same. How many dollars is one ticket?

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