Question

Write the English phrase as an algebraic expression. Then simplify the expression. Let x represent the number. A number decreased by the sum of the number and one.

Answer 1

Given: x represent the number. A number decreased by the sum of the number and one.

Required: The algebraic expression for the english phrase and its simplification.

Explanation:

Given that x is the number.

Sum of the number and one = (x + 1)

Now, the number is decreased by the sum of the number and one.

So, the algebraic expression is

`x-(x+1)`

Simplifyung further,

`x-x-1=-1`

Final Answer: The algebraic expression is x-(x+1) and after simplification, it is -1.