Question

1. which two expressions represent \the quotient of 10 and 2 subtracted from the sum of 14 and 8\?

a) (8 + 14) - (10 - 2)
b) (14 + 8) - (10 - 2)
c) (8 + 14) - (10 ÷ 2)
d) (10 ÷ 2) - (15 + 8)
e) (14 + 8) - (10 ÷ 2)

1. write a numerical expression that represents \the product of 4 and the difference of 17 and 9\.
2. write \triple the difference between 78 and 54\ as a numerical expression.
3. what is \multiply the sum of 18 and 6 by the difference of 9 and 3\ as a numerical expression?

a) (18 + 6) + (9 - 3)
b) (18 × 6) × (9 - 3)
c) (18 + 6) × (9 - 3)

Explanation:

Step1: Solve Question 3

First, parse the phrase: "the quotient of 10 and 2" is $\frac{10}{2}$, "the sum of 14 and 8" is $14+8$. The quotient subtracted from the sum is $(14+8)-\frac{10}{2}$.

Step2: Solve Question 4

Parse the phrase: "the difference of 17 and 9" is $17-9$, "the product of 4 and this difference" is $4\times(17-9)$.

Step3: Solve Question 8

Parse the phrase: "the difference between 78 and 54" is $78-54$, "triple this difference" is $3\times(78-54)$.

Step4: Solve Question 9

Parse the phrase: "the sum of 18 and 6" is $18+6$, "the difference of 9 and 3" is $9-3$, multiply the sum by the difference is $(18+6)\times(9-3)$.

Answer:

1. E) $(14 + 8) - (10 \div 2)$
2. $4\times(17-9)$
3. $3\times(78-54)$
4. C) $(18 + 6) \times (9 - 3)$