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65 Cards in this Set

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  • Back
Quadratic Formula
-b +- square root b squared - 4ac all over 2a
Distance Formula
square root(x - x)squared + (y - y)squared
Slope (Rate of change)
Rise/Run
y-y over x-x
Midpoint Formula
(x + x divided by 2, y + y divided by 2)
Anything to the Zero power
One
Compound Interest Formula
C( 1 + r/n) ^nt
Perpendicular lines have slopes that are:
Opposite or Negative Reciprocals
Discriminant b^2 – 4ac
>0 is 2 real solutions,
= 0 is 1 solution,
<0 is no solution
Exponent Law when Multiply with same bases
Keep base, add exponent
Another name for an Independent Variable
Domain or X- Coordinate
What kind of line for < or > on the coordinate plane?
Dashed
What is the equation for a Linear Function
y = mx + b
What is the equation for a Parabola?
y = ax^2 + bx + c
What does the graph of an Exponential Function look like?
Curve
Parallel Lines have what kind of slope?
Same Slope
Growth (Simple Interest) Formula
y = c(1 + r)^t
Decay Formula
y = c(1 - r)^t
What kind of line for < =or > =on the coordinate plane?
Solid
Radius
r = 1/2d
Direct Variation
y = kx
So x/y = x/y
Change Percent to Decimal
Move the decimal 2 places to the left or divide by 100.
What does a quadratic graph look like and how do you know?
U or upside down U because the x is squared.
% of Change Formula
%/100 = is/of
How to change a negative exponent to a positive
Move the part with the negative exponent either from the top to the bottom or the bottom to the top of the fraction bar
Exponent Law for Dividing with the same base
Keep the base, subtract the exponents.
Exponent Law for Power to a Power
Keep the base, multiply the exponents
When solving an Inequality and have to divide or multiply by a negative number, remember to:
Switch or flip the inequality symbol
Compound Continuously Formula
A = pe^rt
Exponent Law for Power to a Power
Keep the base, multiply the exponents
Solve a System of Equations using Matrices
A^-1 * B
When solving an Inequality and have to divide or multiply by a negative number, remember to:
Switch or flip the inequality symbol
Calculator Keys to Find the Line of Best Fit
Stat, Edit, Stat, Calc, #4, L1, L2, Vars, YVars, Enter Enter Enter
Compound Continuously Formula
A = pe^rt
Solve a System of Equations using Matrices
A^-1 * B
Calculator Keys to Find the Line of Best Fit
Stat, Edit, Stat, Calc, #4, L1, L2, Vars, YVars, Enter Enter Enter
Predict Using the Calculator
2nd Window, Enter Value, 2nd Graph (Table)
Find the Vertex on the Calculator
2nd Calc, Max or Min, Left Bound, Right Bound, Guess
Find the Axis Of Symmetry Equation Using the Calculator
Find the Vertex then write x = x coordinate
Change Calculator Window
Change X-Min, X-Max, Y-Min, Y-Max
Area of a rectangle
A = lw
Perimeter of a Rectangle
P = 2(l + w) or P = 2. + 2w
Other names for solutions
Roots, Zeros, x- Intercepts
Matrix Dimensions
r x c
(RBC)
How to find the solution of an absolute value equation.
Remove bars, make equal to positive then work again equal to negative
How to tell if a graph is a function
Must pass the Vertical Line Test (vertical line cannot pass through more than once)
Volume of a Cube
V = lwh or V = s^3
How to tell if points make a function
None of the x values (domain) repeat
y = mx + b is what? What does the m and b represent?
Slope Intercept form of a line. M = slope, b = y-intercept (where the line crosses the y-axis)
Standard Form of a Line for use with matrices
Ax + By = C
Independent Variable (I, D)
x or domain (x, y)
Dependent Variable (I, D)
y or range (x, y)
Which way do vertical lines go?
up and down
Which way do horizontal lines go?
left to right
Distance and Rate Formula
d = rt
distance = rate times time
What is the solution of the graph of a system of equations?
The point of intersection of the two lines
Compound Interest Values for n
Semi- Annually
Quarterly
Monthly
N = 2
N = 4
N = 12
Diameter
d = 2r
Like Terms Definition
All variables and exponents are the same
Midpoint Definition
The center of a circle or intersection of diagonals
Polynomial Definitions
Monomial
Binomial
Trinomial
1 term
2 terms
3 terms
Pythagorean Theorem
a^2 + b^2 = c^2
Absolute Value Graph
Looks like a V
To write Equations what are the 3 steps?
1. Find slope (m)
2. Use m and (x,y) from one ordered pair to plug into y = mx + b to find b
3. Use found m and b to substitute into y = mx+b
HOY
Horizontal Line
0 Slope
Y = # Equation
VUX
Vertical Line
Undefined Slope
X = # Equation