Practical Problem: Height of a Stack of Pipes
The Pythagorean Theorem can be used to solve problems involving rectangles and circle. A practical problem involves finding the height of a stack of pipes.
Practical Problem: Gas and Oil Mixture
A a two-cycle engine runs on a mixture of oil and gas. A practical problem involves determining how many ounces of oil to add to a gallon of gas to get the right mixture. The problem is solving with proportion.
Solving the Same Rate-Time-Distance Problem Using One and Two Variables
Two different ways to write an algebraic equation for the same word problem involving rate, time, and distance are compared.
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...
Solving an Equation with the Least Common Denominator: Another Practice Problem
A problem is presented to practice solving an equation using the least common denominator to get a quadratic equation.
Strategies for Solving Equations
Three strategies for solving equations summarized.
Solving an Equation by Subtracting
An explanation of how to solve an algebraic equation by dividing.
Solving an Equation by Adding
An explanation of how to solve an algebraic equation by subtracting.
Solving an Equation by Multiplying
An explanation of how to solve an algebraic equation by adding.
Solving Quadratic Equations by Factoring
A quadratic equation in which the quadratic trinomial has a leading coefficient of one can be solved by factoring. An example is given that also utilizes the zero factor property.