More About Using Least Common Multiples
The least common multiple strategy reveals a system of equations that has not solution.
Multiplying by the Least Common Denominator to Get a Quadratic Equation
The steps involved in solving an equation by multiplying by the least common denominator to get a quadratic equation and checking the solution are detailed.
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.
Shortcut for Simplifying Radicals Before and After Multiplying
To avoid having to find perfect square factors for a large number by multiplying two radicals, first look for a common factor in the radicands that can be factored, then multiply.
Factor: x2 5xy 4y2
Factoring a trinomial with two different variables: x2 5xy 4y2.
Factor: 3x2 14x 8
Factoring a quadratic trinomial with a leading coefficient greater than one that has no greatest common factor. In general, whenever factoring a quadratic trinomial with a coefficient greater than one look for a pair of numbers in which the sum is e...
Both Equations in a System Contain the Same Variable
Solving a system of equations using the substitution method when both equations contain the same variable.
Solve: m2 7m 12 = 0
Practice solving a quadratic equation: m2 7m 12 = 0.
Equations and Formulas
An introduction to simple algebra with emphasis placed on reading formulas correctly, manipulating formulas, ratios and proportions, and using standard formulas to solve word problems.