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Intermediate Algebra

Section 9.1: Review Linear Inequalities and Using Inequalities in Business Applications (ch 9 rev. pg. 655 # 1 – 12)

o Review how to solve linear inequalities
o Write solutions to linear inequalities using
1. Interval Notation
2. Set Builder Notation
3. As a graph on a numberline

o Use linear inequalities to solve problems involving revenue, cost, and profit

Section 9.2: Compound Inequalities (ch 9 rev. pg. 655 # 13 – 28)

o Finding the union and intersection of two sets .
o Recognizing and using the correct notation for union and intersection
o Solving compound AND inequalities
o Solving compound OR inequalities

Section 9.3: Equations and Inequalities Involving Absolute Values (ch 9 rev page 655 #29-38

o Solve absolute value equations
o Solve absolute value inequalities
o Recognize absolute value inequalities with no solution or all real numbers as solutions
o Solve problems using absolute value inequalities

Section 9.4: Linear Inequalities in Two Variables (ch 9 rev page 655 #39 - 52)

o Graphing linear inequalities in two variables
o Use mathematical models involving linear inequalities
o Graphing systems of linear inequalities in two variables

Section 10.2 Rational Exponents (ch 10 rev. pg 732 # 16 – 32)

o Translate between rational exponent expressions and radical expressions using the definitions of
o Simplify rational exponent expressions by translating to radical expressions and simplifying radical expressions
o Simplify rational exponent expressions by using the properties of exponents
o Simplify radical expressions by translating to rational exponents and simplifying using the properties of exponents.

Section 10.7 Complex Numbers ( ch 10 rev. pg 733 # 87 – 101)

o Express square roots of negative numbers in terms of i
o Add and subtract complex numbers
o Multiply complex numbers
o Divide complex numbers
o Simplify powers of i

Important Review Material
o Graphing Lines (Chapter 3)
o Simplifying Radicals (Section 10.1, 10.3)

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