Identities for Addition and Multiplication Defined
The identity for addition is zero and the identity for multiplication is one.
More About Using Least Common Multiples
The least common multiple strategy reveals a system of equations that has not solution.
Practical Problem: Finding Average Speed
Complex fractions often appear in formulas used to solve problems. A practical problem involving the rate, time, and distance formula illustrates working with complex fractions.
Practical Problem: The Height of a Stack of Newspapers
Using the slope-intercept form of equation, a practical problem involving the rate of growth of a stack of newspapers is calculated.
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.
Solving Systems with Substitution
An introduction to using the algebraic method of substitution to solve a system of equations in which one of the equations is not in slope-intercept form.
Endless Questions: Scientific Method, The
Research studies require measurements that can be replicated Deciding what to measure often begins with an idea or hunch and the development of an hypothesis. Researchers must create operational definitions, specifying how variables will be mea...
When the Elimination Method is Easiest
How to decide whether substitution or elimination is the better method for solving a system of equations when both equations are in the same form and neither has been solved for a variable.
Deciding Between Substitution and Elimination
How to decide whether substitution or elimination is the better method for solving a system of equations in which one equation has been solved for a variable.