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Lesson 2: Order of Operations — Practice Questions

  1. 1. Evaluate the expression: $10 + 4 \times 5 = \_\_\_$

  2. 2. A common mistake is to evaluate $20 \div 5 \times 2$ by multiplying first. The correct value, evaluating from left to right, is $\_\_\_$.

  3. 3. A student incorrectly simplified $15 - 2 \times 6$ to $78$. What was the student's mistake?

    • A. They multiplied before subtracting.
    • B. They subtracted before multiplying.
    • C. They added instead of subtracting.
    • D. They made a multiplication error.
  4. 4. Evaluate the expression $-4^2$. The value is $\_\_\_$.

  5. 5. Simplify the expression: $6 + 10 \div 2 + 2 = \_\_\_$

  6. 6. Simplify the expression: $4 + 6(3 + 6) = \_\_\_$

  7. 7. Simplify the expression: $(3 + 7)^2 = \_\_\_$

  8. 8. Simplify the expression: $33 \div (3 + 8) \cdot 2 = \_\_\_$