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Warm-Up (for later use) 53 21 72
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CCGPS Coordinate Algebra 1 st Period
Warm-Up Guess the meanings of the following words: Variable Expression Base Constant Factor
Essential Question Why CCCA Unit 1 is it important to understand the “language” of mathematics?
Definition s Identifying Parts Guided NOTES
Algebraic Expression a mathematical phrase that contains variables, numbers, and operators (i. e. addition, subtraction, multiplication, division, parentheses, square roots, and exponents) Examples:
Variable symbols or letters used to represent an unknown Examples:
Term items that are being added, subtracted, or divided Examples: 3 terms: 5 a 2, -2 xy, and 3 4 terms: P, -2 x, a 2, and b
Like Terms terms with same the variable raised to the same power Examples:
Coefficient the number in front of a variable Examples: 123 9 1
Exponent (Power) the number up in the air next to a base • the exponent of a number tells you how many times you multiply that number times itself • Examples: 3 12 4
Base is what the exponent sits on the part that has been raised to a power • • Examples: 2 x y
Constant • a number that has no variable • can be positive or negative Examples: -42 5 -8
Factors items that are being multiplied together can be numbers, variables, or what is inside the parentheses • • Examples: 1 and 6…. Or 2 and 3 9 and x and y (x + 2) and (y – 3) 3 and (z – 9)
Order of Operations 1. 2. 3. 4. Simplify what is inside the parentheses Take care of exponents In order from left to right, multiplication or division In order from left to right, addition or subtraction Examples: -18
Which is it?
Translation s
ADDITION Sum Plus Add More Than Increased Together
SUBTRACTION Difference Minus Decreased Less Than (swaps the order) Take away
DIVISION Quotient Half Divide by
MULTIPLICATION Product Twice Double Triple Times
EXPONENTS Square Cubed To the power of Raised to a power
Translate The sum of a number and 10 x + 10
Translate The product of 9 and x squared 2 9 x
Translate 9 less than g to the fourth power 4 g – 9
Translate 8 + 3 x Eight increased by three times
Translate and Solve 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.
HOMEWORKSHEET Writing an Expression Worksheet