Final answer:
After evaluating each expression using order of operations, the expression that is not equivalent to 10 is b. 3 + 4 × 2 - 4, which equals 7.
Step-by-step explanation:
The student's question asks which expression is not equivalent to the value of 10. Let's evaluate each expression:
- a. 35 - 45 ÷ 9 × 5: Following order of operations, divide first, then multiply, and finally subtract. 45 ÷ 9 equals 5, and 5 × 5 equals 25. Then, 35 minus 25 equals 10.
- b. 3 + 4 × 2 - 4: Again following order of operations, we multiply first: 4 × 2 equals 8. Then add and subtract in sequence: 3 + 8 equals 11, and 11 - 4 equals 7.
- c. 2 × (26 - 11) ÷ 3: Parentheses first, 26 minus 11 equals 15. Multiplying by 2 gives 30, and dividing that by 3 equals 10.
- d. (15 + 5) ÷ 2: Parentheses first: 15 plus 5 equals 20. Dividing by 2 results in 10.
All the expressions except for b. 3 + 4 × 2 - 4 evaluate to 10. Therefore, the correct answer is b. 3 + 4 × 2 - 4.