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Factoring with (-1) to Rewrite a Polynomial
00:40

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
01:15

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
02:46

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
01:19

Factor: 2k2 - 18k - 72

Factoring a quadratic trinomial with a leading coefficient greater than one.

Table of Solutions for Equation with Two Variables
02:16

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
05:37

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
05:39

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
04:59

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
01:23

Applying the Slope Formula to a Graph

Using the slope formula to plot a graph.

Solving Complex Inequalities
01:23

Solving Complex Inequalities

How to solve more complex inequality problems.