Question

Write the English phrase as an algebraic expression. Then simplify the expression. Let x represent the number.The difference between eight times a number and two more than five times the number.What is the algebraic expression?

Answer 1

`8x-(5x+2)`Step-by-step explanation

to convert the phrase into math terms we need to remember

`\begin{gathered} difference\text{ is a subtarction} \\ difference\text{ of a and b }\Rightarrow a-b \\ \text{ a times is a multiplication} \\ a\text{ times b = a*b} \end{gathered}`

Step 1

a)

Let x represents the number ,so

eigth times a number= 8x

five times the number=5x

two more than five times the number = 5x+2

Finally

The difference between eight times a number and two more than five times the number.

`8x-(5x+2)`

I hope this helps you