Question

Represent the expression “A number, x, decreased by the sum of 2x and 5* algebraically. A. (2x + 5) - x B. x - (2x + 5) C. x - 2x + 5 D. (x + 2x) - 5

Answer 1

We are given the following word problem

"A number, x, decreased by the sum of 2x and 5"

We are asked to translate the word problem into an algebraic expression.

Sum of 2x and 5 means (2x + 5)

Now we need to subtract (decrease) this sum (2x + 5) from x

So, the algebraic expression becomes

`x-(2x+5)_{}`

Therefore, the correct algebraic expression is option B