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1. Convert 23 miles to feet. (5280 ft = 1 mi) 2. Convert 120 lbs to kilograms. (0.454 kg = 1 lbs) 54.48 kg 3. Convert 6 feet to miles. (5280 ft = 1 mi) 0.00114 miles 4. Convert 4 quarts to liters. (1 liter = 1.05 quarts)3.8095 Liters 5. Convert 0.045 barrels to gallons. (73 gallons = 2 barrels) 121,440 feet 1.6425 gallons 6. Convert 75 minutes to days. 0.05208 days 7. Convert 46 inches to miles. (1 mi = 5280 ft) 0.00072601 miles CCCA Unit 1 Why is it important to understand the “language” of mathematics? Identifying Parts Guided NOTES 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 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: 2 x 3 3 y 3 1 4 4 What the exponent sits on The part that has been raised to a power Examples: 2 x 3 3 y 2 x 4 y A number that has no variable It can be positive or negative Examples: 42 3x 5 2 -42 5 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 a number WORKSHEET Identifying Parts and Translating Expressions Practice