Square Root Functions
Square Root Function contains the square root of the variable.
Type of Graph:
f ( x) =
Graph f ( x) = 2 x and state the domain and range.
Graph f ( x) =
Monomials and Factoring
Factored Form a monomial expressed as the product of prime numbers and variables (exponent
18x 2 y 3
24x3 y 5
Greatest Common Factor (GCF) the greatest number that is a factor of all original monomials.
Solving Inequalities by Addition and Subtraction
, < =
c 12 > 65
41 x + 17
2a - 7 11
5g - 16 < 9g
3y + 7 > 8y - 23
Define a variable, write an inequality, and solve.
The difference of a
Monomial (1 Term) a number, a variable, or the product of a number and one or more variables
with non-negative integer exponents.
ex. -3, 7x, 5xy 2
Constant a monomial that is a real number.
ex. 8, -23
Determine whether each expr
Graphing Equations in Slope-Intercept Form
y = mx + b
m = slope
b = y-intercept
Write an equation in slope-intercept form of the line with a slope of
and a y-intercept of
Graphing Linear Equations
Linear Equation an equation that forms a line when it is graphed.
Standard Form linear equations written in the form:
Ax + By = C
3 conditions to Standard Form
1. x and y must be on the same side of equation
2. no fractions
Graphing Quadratic Functions
Quadratic Functions - f ( x) = ax 2 + bx + c (also called standard form).
The graph of quadratic functions is called a parabola.
Axis of Symmetry a central line which makes the parabola symmetric.
Vertex the intersection o
Graphing Systems of Equations
Systems of Equations a set of equations with the same variables.
Consistent System a system that has at least one solution.
Inconsistent System a system that does not have a solution.
Independent System a system that has
Simplifying Rational Expressions
Rational Expression an algebraic fraction whose numerator and denominator are polynomials.
*Since division by zero is undefined, the polynomial in the denominator cannot be 0*
State the excluded value for each rationa
A number b divided by three is six less than c.
Fifteen more than z times 6 is 11 less than y times 2.
Twenty subtracted from the product of 3 and x is 46.
Formula a r