Question

Write the following expression using symbolic language.

1) Five less than the product of seven and a number x
2) The difference of nine times a number y and eighteen
3) Half a number n increased by four times the number
4) Twice the sum of a number w cubed and twenty-three

Answer 1

1) 7x - 5

2) 9y - 18

3) 0.5n + 4n

4) 2(w³+23)

Explanation:

1)

The product of seven and a number x: 7·x = 7x

Five less than the product of seven and a number x:

7x - 5

2)

nine times a number y: 9·y = 9y

The difference of nine times a number y and eighteen:

9y - 18

3)

half a number n: 0.5n

four times the number: 4·n = 4n

Half a number n increased by four times the number:

0.5n + 4n

4)

a number w cubed: w³

the sum of a number w cubed and twenty-three: w³+23

Twice the sum of a number w cubed and twenty-three:

2(w³+23)