3.0/4.0/5.0 Expressions/ Equations Cheat Sheet
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Transcript of 3.0/4.0/5.0 Expressions/ Equations Cheat Sheet
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 + bPoint - Slope Form:- y – y1 = m(x – x1)- (x1 , y1): point- m: slope
6.0/7.0/8.0 Graphing Cheat Sheet
Horizontal vs. Vertical- m = o - m = undefined - Ex: y = 2 - Ex: x = 2
Parallel vs. Perpendicular- Same slope, - opposite reciprocal slopesdifferent y – intercept
A point is a solution if it makes a true statement
9.0 Systems Cheat Sheet• Solution is the point of intersection (x, y)
• Methods: Graphing SubstitutionAddition/EliminationUse when: - given a graph
Use when: - one variable is
by itself - Two lines are
written in different forms
Use when: - Both lines are
in standard form
9.0 Systems Cheat Sheet• Types of Solutions:
One Infinite None
Intersecting Lines Overlapping Lines Parallel Lines
10.0 Polynomials Cheat Sheet• Exponent Rules (Monomials):• Multiplying: add exponents ex: 35 34 = 39
• Dividing: subtract exponentsex: 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
• Polynomials:
• Adding: combine like terms
• Subtracting: distribute a negative 1
• Multiplying: peanut method
10.0 Polynomials Cheat Sheet
11.0 Factoring Cheat Sheet
• Methods:1. GCF: Variable, coefficient, both2. X – Factor/Factor Booty:
3. Difference of Squares:• Even exponent • Subtraction• Two terms• Perfect squares
**Use Bottoms Up when a = +1
( - )( + )
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
• Adding:
– Common denominators– combine numerators– Factor– Cancel out
12.0/13.0 Rational ExpressionsCheat Sheet
Quadratic:
• equation when the highest exponent is squared
• graph is a parabola ( u shape)
14.0 Quadratics Cheat Sheet
• y = ax2 + bx + c
• Axis of Symmetry:
• 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
20.0/21.0/22.0 Cheat SheetDiscriminant: b2 – 4ac– Tells how many times a quadratic crosses the x - axis