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6th grade · Math · Unit 11 of 19

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.

Texas Essential Knowledge and Skills (TEKS) teks student expectation: 6.9(A); 6.10(A) · writing and solving one-step equations

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 Texas

In the Texas Essential Knowledge and Skills (TEKS), this is unit 11 of 19 in 6th grade Math, after Algebra Moves and before Angles & Triangles.

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: Texas Education Agency (TEA)

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 x.

    x − 34 = 31

    answer box

  2. Question 2

    A bag of n apples is shared equally among 5 friends. Each friend gets 12 apples. Which equation fits?

    • 5n = 12
    • n − 5 = 12
    • n + 5 = 12
    • n ÷ 5 = 12

  3. Question 3

    What is 73 − 49 ÷ 7?

    73 − 49 ÷ 7 = ?

    answer box

  4. Question 4

    What is the value of 6 + 2 × 8?

    6 + 2 × 8 = ?

    • 64
    • 22
    • 16
    • 20

  5. Question 5

    Which step solves m + 19 = 63 for m?

    m + 19 = 63

    • Add 19 to both sides
    • Divide both sides by 19
    • Multiply both sides by 19
    • Subtract 19 from both sides

  6. Question 6

    Solve for m.

    m + 19 = 27

    answer box

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