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Sophie tried to evaluate an expression. Here is her work:\newline92÷32×2+7×69^2 \div 3^2 \times 2 + 7 \times 6\newline81÷9×2+7×681 \div 9 \times 2 + 7 \times 6 {Step 11}\newline9×2+7×69 \times 2 + 7 \times 6 {Step 22}\newline18+7×618 + 7 \times 6 {Step 33}\newline25×725 \times 7 {Step 44}\newline175175 {Step 55}\newlineIs Sophie's work correct?\newline(A)No, Sophie made a mistake going from Step 11 to Step 22. Sophie should have multiplied 99 and 22 before dividing. The order of operations says to multiply before you divide.\newline(B)No, Sophie made a mistake going from Step 33 to Step 44. Sophie should have multiplied 77 and 66 before adding. The order of operations says to multiply before you add.\newline(C)Yes, Sophie's work is correct.

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Q. Sophie tried to evaluate an expression. Here is her work:\newline92÷32×2+7×69^2 \div 3^2 \times 2 + 7 \times 6\newline81÷9×2+7×681 \div 9 \times 2 + 7 \times 6 {Step 11}\newline9×2+7×69 \times 2 + 7 \times 6 {Step 22}\newline18+7×618 + 7 \times 6 {Step 33}\newline25×725 \times 7 {Step 44}\newline175175 {Step 55}\newlineIs Sophie's work correct?\newline(A)No, Sophie made a mistake going from Step 11 to Step 22. Sophie should have multiplied 99 and 22 before dividing. The order of operations says to multiply before you divide.\newline(B)No, Sophie made a mistake going from Step 33 to Step 44. Sophie should have multiplied 77 and 66 before adding. The order of operations says to multiply before you add.\newline(C)Yes, Sophie's work is correct.
  1. Evaluate powers: Step 11: Evaluate the powers in the expression. \newline92÷32×2+7×69^2 \div 3^2 \times 2 + 7 \times 6\newline81÷9×2+7×681 \div 9 \times 2 + 7 \times 6
  2. Perform division: Step 22: Perform the division.\newline81÷9×2+7×681 \div 9 \times 2 + 7 \times 6\newline9×2+7×69 \times 2 + 7 \times 6
  3. Multiply results: Step 33: Multiply the results.\newline9×2+7×69 \times 2 + 7 \times 6\newline18+4218 + 42
  4. Add results: Step 44: Add the results.\newline18+4218 + 42\newline6060

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