Student edition← Writing and evaluating expressions

Writing and evaluating expressions

Advanced Math 5 · Unit 2 · order-of-operations · Teacher edition

order-of-operations
Name ______________________________Date ______________
  1. 1.

    Evaluate (9−4)×6+2(9 - 4) \times 6 + 2.

    Answer: ______________

  2. 2.

    Evaluate 4[30−(7+5)÷3]4[30 - (7 + 5) \div 3].

    Answer: ______________

  3. 3.

    Mia had 5050 beads. She used 44 bags of 66 beads each to make bracelets. The number of beads left is 50−4×650 - 4 \times 6. What is that number?

    1. (A)

      276276

    2. (B)

      2626

    3. (C)

      3636

    4. (D)

      3030

Answer key — Writing and evaluating expressions

  1. 1.
    32order-of-operations-01

    (9−4)×6+2=5×6+2=30+2=32(9 - 4) \times 6 + 2 = 5 \times 6 + 2 = 30 + 2 = \mathbf{32}.

  2. 2.
    104order-of-operations-02

    4[30−(7+5)÷3]=4[30−12÷3]=4[30−4]=4×26=1044[30 - (7 + 5) \div 3] = 4[30 - 12 \div 3] = 4[30 - 4] = 4 \times 26 = \mathbf{104}.

  3. 3.
    (B)

    2626

    order-of-operations-03

    4×6=244 \times 6 = 24 beads used. 50−24=2650 - 24 = \mathbf{26} beads left. (Subtracting first, (50−4)×6=276(50 - 4) \times 6 = 276, is the classic order-of-operations error; 3636 and 3030 are subtraction slips.)