Question

Which of the following gives the numerical expression for the statement 'half of the difference between 15 and 9 subtracted from 7 times the sum of 10 and 12'?

• A. $\frac{1}{2}$(15 - 9) + 7(10 + 12)
• B. $\frac{1}{2}$(15 - 9) - 7(10 + 12)
• C. 7(10 + 12) - $\frac{1}{2}$(15 - 9)
• D. $\frac{1}{2}$(9 - 15) + 9(10 + 12)

Answer 1

The correct option is C 7(10 + 12) - $\frac{1}{2}$(15 - 9)

Given statement is 'half of the difference between 15 and 9 subtracted from 7 times the sum of 10 and 12'

Half of the difference between 15 and 9 gives the expression $\frac{1}{2}$(15 - 9)

7 times the sum of 10 and 12 gives the expression 7(10 + 12)

Subtracting the first expression from the second, we get,
7(10 + 12) - $\frac{1}{2}$(15 - 9)