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

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Making Radical Expressions Simpler

       35–44 Simplify the radical expressions.

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Working with Complex Expressions

       45–50 Simplify the complex numbers.

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Chapter 2

      Solving Quadratic Equations and Nonlinear Inequalities

      A quadratic expression is one containing a term raised to the second power. When a quadratic expression is set equal to 0, you have an equation that has the possibility of two real solutions; for example, you may have an equation for which the answers are

. Nonlinear inequalities can have an infinite number of solutions, so those answers are written with expressions such as x > 8 or x > –2; these solutions can also be written using interval notation.

The Problems You’ll Work On

      In this chapter, you’ll work with quadratic equations and inequalities in the following ways:

       Solving simple equations using the square root rule

       Rewriting quadratics as the product of two binomials in order to solve them

       Applying the quadratic formula

       Completing the square

       Solving quadratic-like equations

       Finding the solutions of quadratic and other nonlinear inequalities

What to Watch Out For

      Don’t let common mistakes like the following ones trip you up when working with quadratic equations and inequalities:

       Forgetting to consider ±x when using the square root rule

       Reducing the fraction incorrectly when applying the quadratic formula

       Stopping too soon when solving quadratic-like equations

       Eliminating values as solutions when they create a 0 in the denominator of a fraction

Applying the Square Root Rule on Quadratic Equations

       51–60 Solve the equations using the square root rule.

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Solving Quadratic Equations Using Factoring

       61–76 Solve the quadratic equations by factoring and applying the Multiplication Property of Zero.

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