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1. How long does a car traveling at 70 mph take to travel 88 miles, in hours? 1.257 hours 2. How many terms are in the expression: 36x + 27xy – 18y – 9? 3. 4 5 word prediction. Guess the meanings of the following words: Variable, expression, base, constant, & factor. No notes Kilo Hecto Deka BASIC Deci Centi Milli CCCA Unit 1 Why is it important to understand the “language” of mathematics? Identifying Parts Can have variables, numbers, addition, subtraction, multiplication, division, parenthesis, square roots, exponents… Examples: x2 3 x 2 5b 7c d 5 xy Symbols or letters used to represent an unknown Examples: x How many items are being added, subtracted, divided Examples: 2 5a 2 xy 3 3 P 2x 2 a b 4 Same variable raised to the same power Examples: 2 2 5 x y and 8 x y 2 7y and 22y 2 The number in front of a variable Examples: 123 xy 3 2 123 9xy z 9 x 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 -42 3x 5 5 2 4 5 x 3y 8 -8 Items that are being multiplied together Can be numbers, variables, parenthesis Examples: 6 1 and 6…. Or 2 and 3 9xy 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 The sum of a number and 10 x + 10 The product of 9 and x squared 2 9x 9 less than g to the fourth power 4 g – 9 8 + 3x Eight increased by three times x 3 5x - 14 Fourteen less than five times x cubed Tapas and Tennis WORKSHEET Writing an Expression Worksheet