Hey Alex! When you're using the order of operations, multiplication/division and addition/subtraction are done in order from left to right.
1) 8 - 2 * 3 + 10
2) 8 - 6 + 10
3) 2 + 10
4) 12
What happened in your example is that when you went from step 2 to step...

Great question! When you are graphing compound inequalities, it's very important to note whether the word joining them is "AND" or "OR". When using "or", the solutions are any values that satisfy AT LEAST ONE inequality. Sometimes this looks like two arrows...

Remember that the roots satisfy f(x)=0. Some time ago you solved polynomials by factoring, and used the zero-product property to find the roots. For example, suppose you factored x2-4x-5=0 and got (x+1)(x-5)=0. By the zero-product property, your roots are -1 and 5.
Going...

Hi there. Like terms are terms that have the same variable factors. 2x and 2y are not like terms, but 5x and -8x are like terms. x2 and x are NOT like terms, because x2=x*x (it has two variable factors). In an expression, find the like terms and add their coefficients to combine like terms.
5x2-6-12x2+12+2x
-7x2...

When working to try to get a variable by itself, you perform the inverse operation. The 15 is being subtracted from -3y, so the opposite is adding 15 to both sides.
3 +15 = -3y -15 +15
18 =-3y

Absolutely use PEMDAS. (5+5)*(5+5) works out very differently than 5+5*(5+5) or 5+(5*5)+5. Since there are no parenthesis to dictate a different order, we follow PEMDAS. The order puts multiplication before addition, you would first multiply and then add.
5+(5*5)+5...

Area of a triangle = (1/2)*b*h where b is the base of the triangle and h is the height.

The wording on the question is a little confusing, but I think I get what you're saying. Someone has thrown 50 darts at a dart board where a bullseye is worth 7 points and anything else is worth 2 points. The person has 152 points, and the question is to find out how many bullseyes were made.
I...