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Basic Vocabulary
Co-Algebra 1A
Term | Definition |
---|---|
variable | letters used to represent unspecified numbers or values ex. x, y, or z |
order of operations | Parentheses, exponents, multiplication and division from left to right, addition and subtraction from left to right aka - PEMDAS |
coefficient | the numerical part of an algebraic term ex. the number "2" in the term 2x |
algebraic expression | a mathematical expression consisting of one or more numbers and variables along with one or more arithmetic operations (NO EQUALS SIGN) ex. 2x + 6 |
equation | two algebraic expressions separated by an equals sign ex. 2x +6 = -8 |
exponent | in an expression in the form of x^n, the exponent is "n". It indicates the number of times "x" is used as a factor. ex. 4^3, 3 is the exponent and indicates the factor "4" is multiplied 3 times, 4*4*4 |
multiplicative inverse | Two numbers with a product of 1 ex. 1/2 * 2 = 1 or 3/4 * 4/3 |
"like" terms | Terms which contain the same variable(s), with the variables having the same exponent(s). like terms can be combined!! ex. 3x and 5x are like terms. In the expression 3x - 5x they can be combined to equal -2x. |
integer | The set of all positive and negative whole numbers. (...-2,-1,0,1,2...) |
product | the result of multiplying two terms together. ex. 15 is the product of 5*3 |
PEMDAS | the order of operations! |
additive inverse | two terms with sum of 0. |
arithmetic sequence | a numerical pattern which increases or decreases at a constant rate or value. The difference between successive terms is constant. ex. 11,7,3,-1,-5... is an arithmetic sequence with a common difference of d = -4 |
quotient | the result of dividing two terms ex. 6 is the quotient of 24/4 |
sum | the result of adding two terms together ex. -2 is the sum of 3 + -5 |
common difference | the constant difference between the terms in an arithmetic sequence ex. in the arithmetic sequence 3,5,7,9,... the common difference is d = 2 |