Square Root Functions
10.1
Square Root Function contains the square root of the variable.
Parent Function:
Type of Graph:
Domain:
Range:
f ( x) =
Curve
x
0
y
0
x
Example 1
Graph f ( x) = 2 x and state the domain and range.
Example 2
Graph f ( x) =
1
x and
Monomials and Factoring
8.1
Factored Form a monomial expressed as the product of prime numbers and variables (exponent
Example 1
Example 2
18x 2 y 3
24x3 y 5
Greatest Common Factor (GCF) the greatest number that is a factor of all original monomials.
Exam
Solving Inequalities by Addition and Subtraction
5.1
, < =
, =
Example 1
c 12 > 65
Example 2
41 x + 17
Example 3
2a - 7 11
Example 4
5g - 16 < 9g
Example 5
3y + 7 > 8y - 23
Define a variable, write an inequality, and solve.
Example 6
The difference of a
Multiplying Monomials
7.1
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
4.1
Slope-Intercept Form
y = mx + b
m = slope
b = y-intercept
Positive Slope
Negative Slope
0 slope
No Slope
Example 1
Write an equation in slope-intercept form of the line with a slope of
2
and a y-intercept of
Graphing Linear Equations
3.1
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
3
Graphing Quadratic Functions
9.1
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
6.1
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
11.3
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
Writing Equations
2.1
Addition
Subtraction
Multiplication
Example 1
A number b divided by three is six less than c.
Example 2
Fifteen more than z times 6 is 11 less than y times 2.
Example 3
Twenty subtracted from the product of 3 and x is 46.
Formula a r