Solving the Same Word Problem Using One and Two Variables
Three different approaches to solving the same practical problem are demonstrated. Two approaches using one variable and a two-variable system all produce the same solution to the question of how many balcony seats and how many floor seats can be so...
Thoroughly Check for Common Factors
Be thorough when checking for common factors, especially when factoring by inspection. You have not factored completely until no common factors remain.
Summary of the Addition of Like Terms
Review and practice of adding terms in a simple algebraic expression.
Factoring Polynomials - The Distributive Law
Factoring is the process of writing a polynomial as a product of its factors. The distributive law is one of a number of ways to factor polynomials.
Solving Equations That Include Rational Expressions
To solve an equation with a rational expression, rewrite the equation to get rid of the fractions then solve the new equation. The same process is used to solve linear equations that contain rational expressions. If the solution makes any denominato...
Rewriting Equations in Order to Use the Elimination Method
Using the elimination method to solve a system of equations will sometimes require rewriting one of the equations.
Practical Problem: How Long it Will Take to do Payroll
A work problem requires finding out how long it will take two workers with different work speeds to complete a task. The process of developing an equation and solving it are detailed.
Factor: 3c2 - 13cd 14d2
Practice factoring a trinomial with two different variables: 3c2 - 13cd 14d2.
Factor: 5y2 6y 5xy 6x
Practice factoring: 5y2 6y 5xy 6x.
Factor: a2 12a 27
Demonstration of a shortcut that can be used to factor a quadratic trinomial with a leading coefficient of 1.