Algebra II: 1001 Practice Problems For Dummies (+ Free Online Practice) - Mary Jane Sterling

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types of questions you’ll be dealing with:

      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)

      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.

      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

      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

       1–8 Simplify the expressions by performing the operations and combining like terms.

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       9–12 Use Pascal’s Triangle to expand the binomial powers.

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       13–18 Solve the linear and absolute value equations for x.

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       19–24 Solve for the indicated variable.

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       25–34 Solve the inequalities.

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