5 books and 5 bags cost $175. What is the cost of 2 books and 2 bags
Let the cost of each book be b and the cost of each bag be c. We're given
5b + 5c = 175
We can factor this as:
5(b + c) = 175
Divide each side of the equation by 5, we get:
(b + c) = 35
The problem asks for 2b + 2c
Factor...
Besides 8 and 1, what is one factor of 8.
Using our factor calculator, or entering the shortcut Factor 8, we get the following factors:
1, 2, 4, 8
Excluding 1 and 8, we have 2, 4
Your salary after a 5% increase if your salary before the increase was s.
If we start with s, and get a 5% increase, we will have s + 0.05s.
Factor our s:
s(1.05) or 1.05s
if a+b=2 and a2-b2=-4, what is the value of a-b?
a^2 - b^2 = -4
Factor this:
(a + b)(a - b) = -4
We know from above, (a +b) = 2, so substitute:
2(a - b) = -4
Divide each side by 2
(a - b) = -2