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Identifying Parts Guided NOTES Can have variables, numbers, addition, subtraction, multiplication, division, parenthesis, square roots, exponents… Examples: x2 3 x 2 5b 7c d 5xy Symbols or letters used to represent an unknown Examples: x Items are being added or subtracted Examples: 2 5a 2 xy 3 3 P 2x 2 a b 4 Same variable raised to the same power Examples: 2 2 5x y and 8 x y 2 7y and 22y 2 The number in front of a variable Examples: 123 xy 3 2 9xy z x 123 9 1 The number up in the air next to a base The number of times you multiply something times itself Examples: 3 3 12 12 2 x 4 3 y 7 4 What the exponent sits on The part that has been raised to a power Examples: 3 2 12 x 2 x 4 3 y 7 y A number that has no variable It can be positive or negative Examples: 42 3x 5 2 -42 5 4 5x 3y 8 -8 Items that are being multiplied together Can be numbers, variables, parenthesis Examples: 6 1 and 6…. Or 2 and 3 9 xy 9 and x and y x 2 y 3 (x + 2) and (y – 3) 3 z 9 3 and (z – 9) Simplify inside parenthesis Take care of exponents In order from left to right, multiplication or division In order from left to right, addition or subtraction Examples: 5 3 2 1 4 2 -18 Sum Plus Add More Than Increased Together Difference Minus Decreased Less Than (swaps the order) Take away Quotient Half Divide by Product Twice Double Triple Times Square Cubed To the power of Raised to a power 1. Five times a number increased by 5 is the same as 3 times the same number decreased by 7. 2. Four times a number plus 10 minus two times the same number is 6.