Question

1. simplify the expression $2(x - 6) + 2(8)$.

a $2x + 4$
b $2x + 2$
c $x + 4$
d $x + 2$
1 point

1. the manager of a store marks up

Explanation:

Step1: Apply distributive property

First, we use the distributive property \(a(b + c)=ab+ac\) (or in this case, \(a(b - c)=ab - ac\)) to expand \(2(x - 6)\). So, \(2(x-6)=2\times x-2\times6 = 2x-12\). And we also calculate \(2(8)=16\).

Step2: Combine like terms

Now we substitute the expanded forms back into the original expression: \(2x - 12+16\). Then we combine the constant terms \(- 12\) and \(16\). \(-12 + 16=4\). So the simplified expression is \(2x+4\).

Answer:

A. \(2x + 4\)