Algebra Flashcards
What are variables?
Letters that represent numbers
Symbols without permanent values
What are monomials?
A constant multiplied by a variable
What are coefficients?
The constant in a monomial
What are binomials?
A monomial added to or subtracted from another monomial
What are trinomials?
Three monomials that are added to or subtracted from each other
What are polynomials?
2+ monomials that are added to or subtracted from each other
Are square roots always positive?
No
They can be either positive or negative
What are like terms?
Monomials with the same variable
4x + 2x
What are unlike terms?
Monomials with differing variables
4x + 6y
How else could you write….
a(b + c)
ab + ac
How else could you write….
ab + ac
a(b + c)
How else could you write….
a + b)(x + y
ax + ay + bx + by
How else could you write….
(a + b)²
a² + 2ab + b²
How else could you write….
(a - b)²
a² -2ab + b²
How else could you write….
a + b)(a - b
a² - b²
What are equations?
An equality between two sets of terms
ab = cd
What is a linear equation?
An equation that has 1-3 variables in the first degree
No variables are multiplied by other variables
2x + y = 8
What is an example of an unlinear equation?
x² + 3 = 4y
What happens when you graph a linear equation?
It creates a line
If a - b = 4, then b - a = ____
-4
What is a system of equations?
An equation solved for two variables
What is a quadratic equation?
Ax² + Bx + C = 0
Quadratic Equations always have ______.
Two roots/answers
What is an incomplete quadratic equation?
A quadratic equation that is missing either the Bx or the C term
What is a Literal Equation?
An equation involving letters
What is an absolute value?
|x|
What is an absolute value equation?
|x - 7| = 2
When dealing with inequalities, what happens when both sides are multiplied or divided by the same NEGATIVE number?
The inequality sign reverses
When dealing with inequalities, what happens when we take the reciprocal of both sides?
The inequality sign reverses
Reciprocal = Flipped fraction
Why do we need to be careful when squaring both sides of an inequality?
It will sometimes (but not always) cause the inequality sign to be reversed
What is important to remember about x²?
x may be positive or negative
What are constants?
2
Numbers with constant values.
Usually integers
