Question

Erin writes the expression “ $6$ less than double a number.”

Write an algebraic expression that is equivalent to Erin’s expression.
Write a second algebraic expression that is different from, but equivalent to, your first expression.
Respond in the space provided.

Answer 1

For this case we must algebraically rewrite the given expression. So:

x: It is the variable that represents an unknown number

"double a number" is represented as: $2x$

"6 less than double a number" is represented as: $2x-6$

So, the final expression is: $2x-6$

If we want to rewrite the expression in an equivalent way, we take common factor 2:

$2 (x-3)$

Asnwer:

$2x-6$

Equivalent expression: $2 (x-3)$