This module is from Elementary Algebra by Denny Burzynski and Wade Ellis, Jr.
Operations with algebraic expressions and numerical evaluations are introduced in this chapter. Coefficients are described rather than merely defined. Special binomial products have both literal and symbolic explanations and since they occur so frequently in mathematics, we have been careful to help the student remember them. In each example problem, the student is "talked" through the symbolic form.Objectives of this module: understand the meaning of an equation, be able to perform numerical evaluations.
Overview
- Equations
- Numerical Evaluation
Equations
Equation
An
equation is a statement that two algebraic expressions are equal.
An equation is composed of three parts.
Each of the boxes represents an algebraic expression. An equation consists of two expressions separated by an equal sign. The equal sign makes the statement that the two expressions are equivalent, that is, they represent the same value. For example:
.
The equation expresses the relationship between the variables
and
. It states that the value of
is always 8 more than 6 times the value of
.
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Numerical evaluation
Numerical evaluation
Numerical evaluation is the process of determining a value by substituting numbers for letters.
In various areas (business, statistics, physics, chemistry, astronomy, sociology, psychology, etc.), particular equations occur quite frequently. Such equations are called
formulas . Numerical evaluation is used frequently with formulas.
Sample set a
.
This chemistry equation expresses the relationship between the pressure
of a gas and the volume
of the gas. Determine the value of
if
.
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.
This statistics equation expresses the relationship between the variables
. Determine the value of
. Round to two decimal places.
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.
This equation expresses the relationship between
and
. Determine the value of
if
.
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Practice set a
Exercises
For the following problems, observe the equations and state the relationship being expressed.