Factoring with (-1) to Rewrite a Polynomial
Factoring with negative numbers. Using negative one to change the signs of each term in an expression.
Solve: 9x2 - 24x = -16
Practice solving an equation using the quadratic formula: 9x2 - 24x = -16.
Finding the Length of the Third Side of a Right Triangle
The Pythagorean Theorem can also be used to determine the length of the hypotenuse given the length of the legs, or the length of a leg given the length of the hypotenuse and the other leg. The formula is demonstrated for both purposes.
Factor: 2k2 - 18k - 72
Factoring a quadratic trinomial with a leading coefficient greater than one.
Table of Solutions for Equation with Two Variables
Constructing an equation with two variables and using a table to help solve it.
Practical Problem: Machines Working at Different Speeds
The procedure for developing an equation to solve a practical work problem involving machines working at different speeds is detailed. The unknown is identified and an equation is written, solved, and checked.
Practical Problem: Runners' Rate of Speed
The rate, time, and distance formula is used to solve a practical problem involving runners' rate of speed.
Practical Problem: Pricing a Product and Maximizing Profit
Using a quadratic equation with two variables to solve a practical problem involving product pricing.
Applying the Slope Formula to a Graph
Using the slope formula to plot a graph.
Solving Complex Inequalities
How to solve more complex inequality problems.