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### 65 Cards in this Set

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 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