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Chapter 2: Linear Equations and Inequalities

MAT 1033 Intermediate Algebra
by

Sandy Maldonado

on 10 August 2011

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Transcript of Chapter 2: Linear Equations and Inequalities

2.1 First Degree Equations with One Unknown
2.2 Literal Equations & Formulas
2.4 Using Equations to Solve Word Problems
2.6 Linear Inequalities
2.7 Compound Inequalities
2.8 Absolute Value Inequalities
If we were to have a quiz at the beginning of a Ch 1 lecture day, what kinds of things might be on it?
Classify a Given Real Number (1.1)
Match the Statement to its Real Number Property (1.1)
Complete the Exponent Rule (1.4)
Steps for solving first degree literal equations (formulas) are the same. We just get a variable expression in the end instead of a number.
2.3 Absolute Value Equations
Recall: the Absolute Value of a number is its distance from zero on the number line.
2.5 Solving More-Involved Word Problems
Simple Interest:
Interest = Principal x Rate x Time
Mixture Problems:
Amount = Volume x Concentration
We will look at investment and mixture problems in this section.
The rules for solving linear inequalities are the same as solving linear equations except…
Flip the inequality symbol (make it point the other way).
Can you use -2 and 4 to make an "AND" inequality that has no solution?
Can you use -2 and 4 to make an "OR" inequality that has all real numbers as its solution?
Can you think of an absolute value inequality that has no solution? How about all real numbers as its solution? Hint: Try it using -2.
If we were to have a quiz at the beginning of a Ch 2 lecture day, what kinds of things might be on it? Graphing Inequalities:

Basic Inequalities (2.6)
Compound Inequalities (2.7)
Absolute Value Inequalities (2.8)
Full transcript