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### Necessities

TermDefinition
Solve
Simplify
Evaluate Use the order of operations to find the value of a numerical expression. Substitute a number for each value in an algebraic expression. Then follow the order of operations. 3x + 5 for when x is = 6 3 (6) + 5 = 23
Variable A symbol that represents one or more numbers.
Constant A term without a variable.
Negative Numbers that are less than 0
Positive Numbers that are greater than 0
Expression Mathematical phrase that contains numbers, operations and/or variables.
Equation Mathematical sentence that uses an equal sign to show that two expressions are equal
Commutative Properties of Addition changing the order of the addends does not change the sum. 8 + 2 = 10 2 + 8 = 10
Commutative Properties of Multiplication Changing the order of the factors does not change the product. 5 x 2 = 10 2 x 5 = 10
Associative Properties of Addition Changing the grouping of addends does not change the sum. 4+ (3+6)= 13 (4+3) +6 = 13
Associative Properties of Multiplication Changing the grouping of the factors does not change the product. 6 x (2 x 5 ) = 60 (6 x 2) x 5 = 60
Distributive Property To multiply a sum or difference by a number, multiply each number in the sum or difference by the number in the parentheses. Then Evaluate. 3 ( 9+ 2) 3(9) + 3(2) 27 + 6 = 33
Inverse of Subtraction Addition x - 12 = 20 + 12 +12 x = 32
Additive Inverse Subtraction x + 10 = 16 -10 -10 x = 6
Term The parts if an algebraic expression. 3x + 7 3x, 7 are the terms
Coefficient The number associated with the variable
Like terms Terms that have the same variable 3X + 5X
difference of Subtraction