To find the equivalent expression, first simplify the expression inside the parentheses:
(12 + 5) – (14 ÷ 7)²
= 17 – (2)²
= 17 – 4
= 13
Now we can compare this result to the options provided:
A) 2 × (9 × 5 + 3²) + 42 × (9 × 5 + 3²) + 4
B) 7 + 10 × 5 + 107 + 10 × 5 + 10
C) 5 + 15 ÷ (3 + 2)²5 + 15 ÷ (3 + 2)²
D) 5 • 6 + 1 – (10 + 8)
None of the options simplify to 13, so none of the expressions are equivalent to the given expression.
Which expression is equivalent to (12 + 5) – (14 ÷ 7)² ?
Responses
A 2 × (9 × 5 + 3²) + 42 × (9 × 5 + 3²) + 4
B 7 + 10 × 5 + 107 + 10 × 5 + 10
C 5 + 15 ÷ (3 + 2)²5 + 15 ÷ (3 + 2)²
D 5 • 6 + 1 – (10 + 8)
3 answers
which is closest to 13
The expression (12 + 5) – (14 ÷ 7)² simplifies to 13.