Question

Which algebraic expression represents the phrase below? five times the sum of a number and eleven, divided by three times the sum of the number and eight 5(x + 11) + 3(x + 8) mc026-1.jpg mc026-2.jpg 5x + 11 + 3x + 8

Answer 1

The phrase has two parts:

Five times the sum of a number and eleven, divided by three times the sum of the number and eight

Let the number be x. Five times the sum of a number and eleven means 5 multiplied to the sum of x and 11. In expression this will be written as:

5(x + 11)

Three times the sum of the number and eight means 3 multiplied to the sum of x and 8. In expression this will be written as:

3(x + 8)

So, the overall expression will be:

$\frac{5(x+11)}{3(x+8)}$