BC: Intermediate Algebra Mrs. Pitt
FC: Intermediate | Algebra By: Jessica Morgan
1: Midpoint and Distance Formula | To use these formulas, you need 2 sets of points | You simply plug in the x and y coordinates | D= | M=
2: Quadratic Formula is used to solve a quadratic equation. | You can also find the discriminant by using the quadratic formula.
3: Discriminant: *0 - 1 solution - 1 x-intercept *Positive- 2 different real # solutions- 2 different x- int. *Negative- 2 different nonreal solutions- no x-intercepts
4: Adding/Subtracting Rational Expressions | Steps: 1: Find common denominator 2: For each numerator, multiply the difference in denominator. 3: Add/Subtract the numerators 4: Simplify if possible.
6: Identifying a function 1. For every "x" there is a "y" 2. Perform vertical line test. Line should hit graph once. | Functions & Graphs
7: Domain: set of "x" coordinates [ ] left to right on x axis Range: set of "y" coordinates --- ---- Bottom to top along y axis
8: Solving Inequalities | 8x-9<3x-11 * To solve, move smaller variable
9: When graphing, less than/greater than sign, graph an open circle. When graphing, less than/greater than or equal to, graph a closed circle.
10: Square Roots | The square root of anything squared is itself. | To simplify a radical expression, bring out any numbers that match the bus driver.
11: Negative numbers come out of the radical as an i.
12: Steps to Complete the square: 1. check for descending order 2. a must be one 3. move c to the right 4. multiply "b" by 1/2, square it and add to both sides
13: 6. take square root of both sides, add +- on right 7. solve for x | 5. factor left side, combine like terms on the right side.
14: In a graph, perpendicular lines have one solution and are consistent and independent. | One line has indefinite many solutions and is consistent and dependent.
15: Parallel lines have no solution, they are inconsistent and independent.