Part 2: Algebra Flashcards
What is a variable?
A letter that represents an unknown value
What is an algebraic expression?
an arithmetic expression with one or more variables
What is a term?
It’s a single part of an algebraic expression that is separated by an addition or subtraction sign from other parts of the expression.
What are like terms?
Terms are alike when they contain the same variables, with the same exponents.
What is a constant?
A term that does not contain any variables.
What is a coefficient?
A number that is multiplied by variables.
What is a polynomial?
An algebraic expression with a finite number of terms.
What is the degree of a term?
It’s the exponent that’s on the variable.
What is the degree of a polynomial?
The greatest exponent in the polynomial.
Identity 1: ca + cb
c(a + b)
Identity 2: ca - cb
c(a - b)
Identity 3: (a + b) ^2
a^2 + 2ab + b^2
Identity 4: (a - b)^2
a^2 - 2ab + b^2
Identity 5: a^2 - b^2
(a + b)(a - b)
Identity 6: (a + b) ^3
a^3 + 3a^2b + 3ab^2 + b^3
Identity 7: (a - b)^3
a^3 - 3a^2b + 3ab^2 - b^3
Rule 1: x^-a
1/x^a
Rule 2: (x^a)(x^b)
x^(a+b)
Rule 3a: x^a/x^b
x^(a-b)
Rule 3b: x^(a-b)
1/x^(b-a)
Rule 4: x^0
1
Rule 5: (x^a)(y^a)
(xy)^a
Rule 6: (x/y)^a
(x^a)/(y^a)
Rule 7: (x^a)^b
x^(ab)