Algebra+Multiplication_Division

A branch of mathematics that substitutes letters for numbers. An algebraic equation represents a scale, what is done on one side of the scale with a number is also done to the other side of the scale. The numbers are the constants. Algebra can include real numbers, complex numbers, matrices, vectors etc. Algebra it would look like: x + y = y + x The goal in algebra is to find out the unknown.
 * Algebra**

__Here are some terms you should know: Variable-__ a letter that stands for something in algebra. Even though it doesn't matter what letter you use, it's helpful to use a letter that reminds you of the word __Coefficient__- the number that comes before the variable __Expression__- a math pharse in algebra that has NO equal sign __Equation__- a math sentence that has an equal sign

__Tips:__ 1. Always solve algebra equations and expressions in the order of the order of operations 2. If the variable is right next to the coefficient, it means to multiply the 2

EASY PROBLEMS...HINT y=3 and x=4 1: 5+3y=? 2: 7x+9=? MEDIUM PROBLEMS...HINT y=2 and x=5 3: 13+9x=? 4: 18y+7=? HARD PROBLEMS...HINT y=6 and x=9 5: 15x+5=? 6: 22+17y=?

We think of a multiplication statement like “2 ´ 3” as meaning “Add two threes together”, or 3 + 3 and “4 ´ 9” as “add 4 nines together”, or 9 + 9 + 9 + 9. In general, //a// ´ //b// means to add //b//’s together such that the number of //b//’s is equal to //a//: // a // ´ //b// = //b// + //b// + //b// +. . . + //b// (//a// times)

We can apply this same rule to make sense out of what we mean by a positive number times a negative number. For example, 3 ´ (–4) just means to take 3 of the number “negative four” and add them together: 3 ´ (–4) = (–4) + (–4) + (–4) = –12 Unfortunately, this scheme breaks down when we try to multiply a negative number times a number. It doesn’t make sense to try to write down a number a negative number of times. There are two ways to look at this problem. One way is to use the fact that multiplication obeys the //commutative law//, which means that the order of multiplication does not matter: //a// ´ //b// = //b// ´ //a//.

answers: 1=14...2=37...3=58...4=36...5=140...6=124

Helpful websites: [] algebra.(online image)[|www.amazon.com/.../ dp/0766014347] 6/19/09