Algebra Chapter 1 Lesson

Mean, Median and Mode Mean- adding set of values and dividing that total number of values (same as average) Median- value in the middle of ranked data (Small → Large) Mode- value that occurs most frequently

Multiplication Symbols

Factors – numbers or variables that are multiplied A ∙ B = C A and B are factors of C Factoring – listing all factors are multiplied to result in a given value

Fractions

Operations with Fractions Multiplying *Multiply across then simply reduce and multiply *A whole number may be made into a numerator and placed over (1) as a denominator to convert to fraction form *Mixed numbers MUST be changed to improper fractions first then multiply Improper fractions - Multiply the denominator by the whole number then add the numerator which will result in the new numerator (denominator always stays the same) *Cross reduce when possible ***Always simplify or reduce answers and make sure they are in proper form (no improper fractions)!!

Dividing Fractions- Flip and multiple by the reciprocal *KFC = Keep first fraction the same, Flip second fraction over (reciprocal), Change the multiplication to division. *Change mixed numbers to improper fractions first! *A whole number may be made into a numerator and placed over (1) as a denominator to convert to fraction form

Adding and Subtracting Fractions **Must have common denominators to add together! If they do not have a common denominator, you must find one. **Reduce & Simplify answers!

LCD= lowest number that is divisible by two denominators Mixed numbers = whole numbers followed by fractions And do the opposite action to change a fraction to a mixed number

Sets of Numbers Natural numbers – 1, 2, 3, 4…… Whole numbers – 0, 1,2,3,4…… Integers- all positive and negative numbers Rational numbers - consist of all numbers that can be expressed as a quotient (result of division) of two integers with the denominator not being zero. Irrational numbers- represented on the number line that is not a rational number (I call these weird ones) The number line goes indefinitely both directions. – Left + right

Inequalities > is greater than < is less than (looks like an L that is tilted) (the alligator eats the bigger number, so the open part goes next to the largest number) ‌‌‌‌‌= absolute value – the distance between the number and 0 on the number line. This is always positive. Opposites (additive inverses) are 2 numbers added together that equal 0

Exponents 4 2 this is read 4 squared. The “4” is called the base and the “2” is called the exponent or power. To simplify you do 4 x 4 or multiply the number by itself as many times as the power says. Tricky ones: -X 2 or -1X 2 example -3 2 = -1(3)(3) = -9 (-X) 2 or (-x)(-x) example (-3) 2 =(-3)(-3) = 9

Properties

Order of operations