Algebraic Concepts: GRE
Gre Algebra Concepts
Terms
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- If x does not = 0, then x to the 0 power =
- 1
- PEMDAS (order of operations)
- Please Excuse My Dear Aunt Sally (Parenthesis, Exponents, Multiply, Dividie, Add, Subract)
- Equations
- Two expressions shown to be = (3x -3= 2y -2)
- (x²)(x³) =
- x²+³
- Term
- a combination of a term and variables(s) (3x³)
- If both sides of an inequality are multiplied or divided by the same constant (#)...
- the direction of the inequality is preserved if the constant is positive, but reversed if the constant in negative
- x²/x³ =
- x (²-³)
- When the same constant (#) is added or subracted from both sides of an inequality...
- the direction of the inequality is preserved
- (x²)(y²) =
- (xy)²
- quadratic equation =
- a² + bx +c = 0 (solve for x with x= -b +-√b² - 4ac/2a) or factor out and solve for both expressions
- (x²)³ =
- x²*³ or x 6th
- Functions
- the variable f(x)= identifies a function and defines x
- FOIL
- a way to multiply two expressions in Parenthesis. (First, Outer, Inner, Last)
- a² - b² =
- (a + b) (a - b)
- x-² =
- 1/x²
- Expression
- One or more terms with coefficients and variables (3x² + 2y)
- (x/y)² =
- x²/y²
- Coefficient
- A number used in an algebraic term (3x where 3 is the C)