Example 1

Mr. Taggart is calculating his students’ test scores on a 25-question test with the equation [math]y = 4x + 3[/math], where [i]x[/i] is the number of correct questions and [i]y[/i] is the score. Make a table of values and create a graph of this relationship.

[list=1] [*]Determine values that make the equation true. [*]Organize these values in a table. [*]Plot the ordered pairs from the table on a coordinate plane. [*]Draw a line through the points. [/list] This applet is provided by Walch Education as supplemental material for their mathematics programs. Visit [url="http://www.walch.com"]www.walch.com[/url] for more information on their resources.

Example 3

Determine the domain and range of the following graph.

[list=1] [*]Determine the domain of the function. [*]Determine the range of the function. [/list] This applet is provided by Walch Education as supplemental material for their mathematics programs. Visit [url="http://www.walch.com"]www.walch.com[/url] for more information on their resources.

Example 2

Find the product of [math]2x[/math] and [math](3x – y)[/math]. Express the answer in simplest form.

[list=1] [*]Use the Distributive Property to find the product of the two expressions. [*]Combine the like terms. [/list] This applet is provided by Walch Education as supplemental material for their mathematics programs. Visit [url="http://www.walch.com"]www.walch.com[/url] for more information on their resources.

Example 2

Does the ordered pair (5, 19) satisfy the function [math]g(x) = 5x – 6[/math]? Does it satisfy the inequality [math]y > 5x – 6[/math]?

[list=1] [*]Rewrite the function [math]g(x) = 5x – 6[/math] so that it is not in function notation. [*]Substitute the ordered pair into the function and simplify. [*]Substitute the ordered pair into the inequality [math]y > 5x – 6[/math] and simplify. [/list] This applet is provided by Walch Education as supplemental material for their mathematics programs. Visit [url="http://www.walch.com"]www.walch.com[/url] for more information on their resources.

Example 2

Consider the expression “four-fifths to the third power.” Rewrite this expression using decimals, first in exponential form and then in expanded form. Then, write the original expression using fractions, first in exponential form and then in expanded form. Identify the base and the exponent of both exponential expressions. Finally, evaluate both the decimal version and the fraction version of the expression.

[list=1] [*]Write the expression “four-fifths to the third power” as a numeric expression using decimals in exponential form. [*]Write the expression in expanded form. [*]Write the expression “four-fifths to the third power” as a numeric expression using fractions in exponential form. [*]Write the expression in expanded form. [*]Identify the base and the exponent of both exponential expressions. [*]Evaluate the decimal and fraction versions of the expression. [/list] This applet is provided by Walch Education as supplemental material for their mathematics programs. Visit [url="http://www.walch.com"]www.walch.com[/url] for more information on their resources.

Example 1

On the way to the Grand Canyon, Eric drove his car at an average speed of 70 miles per hour. Explore the relationship between the total distance Eric traveled and the time he spent driving. Identify the independent and dependent quantities, and choose variables to represent them. Then, create an equation, a table, and a graph for this situation.

[list=1] [*]Identify the independent and dependent quantities. [*]Choose variables to represent the independent and dependent quantities. [*]Write an equation to represent the relationship between the independent and dependent variables. [*]Create a table to represent the relationship between the independent and dependent variables. [*]Use the table to create a graph that represents the relationship between the independent and dependent variables. [/list] This applet is provided by Walch Education as supplemental material for their mathematics programs. Visit [url="http://www.walch.com"]www.walch.com[/url] for more information on their resources.

Information