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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.

Maine Learning Results 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 Maine

In the Maine Learning Results, 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: Maine 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

    What is (15 + 2) × 5?

    (15 + 2) × 5 = ?

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  2. Question 2

    Solve for k.

    k + 30 = 84

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  3. Question 3

    Which step solves m + 35 = 84 for m?

    m + 35 = 84

    • Subtract 35 from both sides
    • Add 35 to both sides
    • Divide both sides by 35
    • Multiply both sides by 35
  4. Question 4

    Kenji buys 7 packs of stickers with the same number in each pack. That's 70 stickers in all. Which equation could find n, the number of stickers in one pack?

    • 7n = 70
    • n ÷ 7 = 70
    • n + 7 = 70
    • n − 7 = 70
  5. Question 5

    Solve for m.

    m − 37 = 42

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  6. Question 6

    Solve for y.

    11y = 110

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