1 Algebra basics, quadratic equations, and graphing lines (Chapters 1 through 4)
2 All kinds of functions (Chapters 5 through 9)
3 Conic sections and linear and nonlinear equations (Chapters 10 through 12)
4 Complex numbers, matrices, sequences, series, and sets (Chapters 13 through 17)
Chapter 1
Reviewing Algebra Basics
The basics of Algebra II consist of the processes learned in earlier exposures to algebra — in this case, all lumped together in one chapter. It’s hard to cover every little thing that you’ll need to continue your algebra study in this one book, but this is a really good place to start. Under the guise of solving some equations and inequalities, you get to review many of the most important properties and procedures needed to be successful. Anything missing in this discussion is covered in later chapters as part of the problems’ explanations.
The Problems You’ll Work On
In this chapter, you’ll work with simplifying expressions and solving equations and inequalities in the following ways:
Multiplying binomials and trinomials
Expanding higher powers of binomials
Solving linear equations and absolute value equations
Solving linear inequalities
Simplifying radical expressions
Rewriting expressions involving imaginary numbers
What to Watch Out For
Don’t let common mistakes trip you up; watch for the following when working with simplifying expressions and solving equations and inequalities:
Distributing the factor over every term in the parentheses
Multiplying terms by a negative factor
Reversing the inequality sense when multiplying or dividing by a negative factor
Correctly multiplying a binomial and its conjugate
Simplifying expressions involving powers of i
Multiplying Binomials and Trinomials
1–8 Simplify the expressions by performing the operations and combining like terms.
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Using Pascal’s Triangle to Multiply Binomials
9–12 Use Pascal’s Triangle to expand the binomial powers.
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Solving Linear Equations
13–18 Solve the linear and absolute value equations for x.
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Solving Linear Equations for Variables
19–24 Solve for the indicated variable.
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Solving Linear Inequalities
25–34 Solve the inequalities.
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