EXPRESSIONS, EQUATIONS, AND INEQUALITIES
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Unit Overview
In this unit, you will learn about one of the most important and widely used properties in algebra, the distributive property. Throughout the unit, you will use this property to simplify expressions and solve equations and inequalities. The unit will conclude with graphing inequality solutions.
Distributive Property
One of the most important properties in algebra is the distributive property. This property ties addition or subtraction together with multiplication. The distributive property allows you to write expressions in different forms and is given with the following definition.
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The Distributive Properties of Multiplication over Addition (01:26) |
Equations (02:19)
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Stop! Go to Questions #1-5 about this section, then return to continue on to the next section.
Simplifying Expressions
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Stop! Go to Questions #6-10 about this section, then return to continue on to the next section.
Solving One-Step Equations
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Introduction (03:06)  |
Equations Using Variables--Paris Population (01:32)
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Stop! Go to Questions #11-17 about this section, then return to continue on to the next section.
Literal Equations and Formulas
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Read the formula to yourself mathematically. How is it read?
The formula is read d equals r times t.
"Click here" to check the answer.
Locate the variable. d = r t What variable are you solving for?
t
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Now ask yourself: “What is being done to this variable that needs undone?”
The variable t is being multiplied by r.
"Click here" to check the answer.
What is the inverse of multiplication?
Division
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What do we need to do to both sides of the equation to "undo" the multiplication?
Divide both sides by r.
"Click here" to check the answer.
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Stop! Go to Questions #18-21 about this section, then return to continue on to the next section.
Solving One-Step Inequalities
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Inequalities--Bridge Capacity (02:27)  |
Stop! Go to Questions #22-25 about this section, then return to continue on to the next section.
Graphing Inequality Solutions
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Inequality on a Number Line--Circus Snacks (02:00)  |
Stop! Go to Questions #26-28 to complete this unit.
