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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.

Alabama Course of Study content standard: 6.18; 6.19 · checking solutions by substitution and solving 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 Alabama

In the Alabama Course of Study, 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: Alabama State Department of Education (ALSDE)

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 the value of 2 + 9 × 4?

    2 + 9 × 4 = ?

    • 22
    • 44
    • 38
    • 15

  2. Question 2

    What is (13 + 11) × 9?

    (13 + 11) × 9 = ?

    answer box

  3. Question 3

    Leo buys 7 packs of stickers with the same number in each pack. That's 49 stickers in all. Which equation could find n, the number of stickers in one pack?

    • n − 7 = 49
    • 7n = 49
    • n ÷ 7 = 49
    • n + 7 = 49

  4. Question 4

    Solve for n.

    n ÷ 12 = 10

    answer box

  5. Question 5

    Which step solves x + 57 = 105 for x?

    x + 57 = 105

    • Multiply both sides by 57
    • Subtract 57 from both sides
    • Add 57 to both sides
    • Divide both sides by 57

  6. Question 6

    Leo had some hockey cards. After getting 16 more, Leo has 64. How many cards did Leo start with?

    answer box

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