3.0/4.0/5.0 Expressions/Equations
Cheat Sheet
Expressions
• Doesn’t have equal sign
• GEMDAS:
Grouping symbols
Exponents
Multiplicaiton/Division
Addition/Subtraction
Equations:
• Have equal sign
• Inverse operations (to both
sides)
• Absolute Value: branch into
negative and positive answer
• Inequalities: Flip the symbol
when mult/div by negative
• Absolute Value Inequalities:
branch into negative and
positive answer (flip symbol
of negative answer)
6.0/7.0/8.0 Graphing Cheat Sheet
Slope y – intercept Form Vs. Standard Form
- y = mx + b
- tells us nothing
- m: slope
- to graph:
- b: y – intercept
- find and plot
intercepts
- convert to y = mx + b
Point - Slope Form:
- y – y1 = m(x – x1)
- (x1 , y1): point
- m: slope
6.0/7.0/8.0 Graphing Cheat Sheet
A point is a solution if it makes a true statement
Horizontal
vs. Vertical
- m=o
- m = undefined
- Ex: y = 2
- Ex: x = 2
Parallel
vs. Perpendicular
- Same slope,
- opposite reciprocal slopes
different y –
intercept
9.0 Systems Cheat Sheet
• Solution is the point of intersection (x, y)
• Methods:
Graphing
Use when:
- given a
graph
Substitution
Use when:
- one variable is
by itself
- Two lines are
written in
different forms
Addition/Elimination
Use when:
- Both lines are
in standard
form
9.0 Systems Cheat Sheet
• Types of Solutions:
One
Infinite
Intersecting Lines
Overlapping Lines
None
Parallel Lines
10.0 Polynomials Cheat Sheet
• Exponent Rules (Monomials):
• Multiplying: add exponents
ex: 35  34 = 39
• Dividing: subtract exponents
ex:
55 = 53
52
• Raise a power to a power: multiply exponents
ex: (x3 )2
• Negative: take the reciprocal
ex:
ex:
• Zero: equals 1 ex: a0 = 1
10.0 Polynomials Cheat Sheet
• Polynomials:
• Adding: combine like terms
• Subtracting: distribute a negative 1
• Multiplying: peanut method
11.0 Factoring Cheat Sheet
• Methods:
1. GCF: Variable, coefficient, both
2. X – Factor/Factor Booty:
**Use Bottoms Up
when a = +1
1. Difference of Squares:
•
•
•
•
Even exponent
Subtraction
Two terms
Perfect squares
( - )( + )
12.0/13.0 Rational Expressions
Cheat Sheet
• Simplest form: the numerator and
denominator have no common factors
• Simplifying:
– Factor
– Cancel out
• Multiplying:
– Factor
– Multiply
– Cancel out
12.0/13.0 Rational Expressions
Cheat Sheet
• Adding:
– Common denominators
– combine numerators
– Factor
– Cancel out
14.0 Quadratics Cheat Sheet
Quadratic:
• equation when the highest exponent is squared
• graph is a parabola ( u shape)
20.0/21.0/22.0 Cheat Sheet
• y = ax2 + bx + c
• Axis of Symmetry: x = - b
2a
• Vertex: Plug in the x from axis of symmetry to find
the y (ordered pair)
• Quadratic Formula: works every time!
20.0/21.0/22.0 Cheat Sheet
Discriminant: b2 – 4ac
– Tells how many times a quadratic crosses the x - axis