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