Answer:
1. 3x + 2
2. 0.25x - 6.5
3. $5.50 per sandwich
Step-by-step explanation:
1.
6x + 1 - (3x - 1)
PEMDAS says solve everything in the parentheses first
There is nothing left to simplify within the parentheses.
Since there's also no exponents, multiplication, or division, let's combine like terms starting from left to right
6x - 3x + 1 + 1
Negative + Negative = Positive, hence why it became 1 + 1
3x + 2
2.
(3x - 1) - 2.75 (x + 2)
PEMDAS says to do multiplication next (since parentheses are fully simplified and there are no exponents)
(3x - 1) - 2.75x - 5.5
Negative + Positive = Negative, hence why it became -5.5
3x - 1 - 2.75x - 5.5
Combine like terms
3x - 2.75x - 1 - 5.5
0.25x - 6.5
3.
Set up an equation:
Variable x = cost of sandwiches
4x + 4(2) = 30
4x + 8 = 30
Subtract 8 from both sides to isolate the variable
4x + 8 - 8 = 30 - 8
4x = 22
Divide both sides by 4
4x ÷ 4 = 22 ÷ 4
x = 5.5
$5.50 per sandwich
