Question

write an algebraic expression for each verbal expression. then simplify, indicating the 13. six times the difference of 2a and b, increased by 4b

Explanation:

Step1: Translate the first - part

The difference of $2a$ and $b$ is $2a - b$. Six times this difference is $6(2a - b)$.
$6(2a - b)=12a-6b$

Step2: Add the second - part

Increasing the result by $4b$ means adding $4b$ to $6(2a - b)$. So the expression is $6(2a - b)+4b$.
$6(2a - b)+4b=12a-6b + 4b$

Step3: Simplify the expression

Combine like - terms: $-6b+4b=-2b$.
$12a-6b + 4b=12a-2b$

Answer:

$12a - 2b$