Pre-Calculus: 1001 Practice Problems For Dummies (+ Free Online Practice). Mary Jane Sterling

correctly when solving quadratic equations and inequalities

       Choosing the smallest exponent when the choices include fractions and negative numbers

       Assigning the correct signs in intervals on the sign line

       Recognizing the solution when a factor of the expression is x

       Determining which solutions are viable and which are extraneous

       Squaring binomials correctly when working with radical equations

       Finding the correct format for a binomial’s conjugate

Using Interval and Inequality Notation

       61–70 Write the expression using the indicated notation.

      61. Write the expression

in interval notation.

      62. Write the expression

in interval notation.

      63. Write the interval notation

as an inequality expression.

      64. Write the interval notation

as an inequality expression.

      65. Describe the graph using inequality notation.

      Illustration by Thomson Digital

      66. Describe the graph using inequality notation.

      Illustration by Thomson Digital

      67. Describe the graph using inequality notation.

      Illustration by Thomson Digital

      68. Describe the graph using interval notation.

      Illustration by Thomson Digital

      69. Describe the graph using interval notation.

      Illustration by Thomson Digital

      70. Describe the graph using interval notation.

Illustration by Thomson Digital

Solving Linear Inequalities

       71–74 Solve the inequality for x.

      71.

      72.

      73.

      74.

Solving Quadratic Inequalities

       75–80 Solve the nonlinear inequality for x.

      75.

      76.

      77.

      78.

      79.

      80.

Solving Absolute Value Inequalities

       81–85 Solve the absolute value inequality for x.

      81.

      82.

83.

      84.

      85.

Working with Radicals and Fractional Notation

       86–89 Change the expression using rules for fractional exponents.

      86. Rewrite the radical expression

with a fractional exponent.

      87. Rewrite the radical expression

with a fractional exponent.

      88. Rewrite the fractional exponent

as a radical expression.

      89. Rewrite the fractional exponent

as a radical expression.

Performing Operations Using Fractional Exponents

       90–94 Simplify the expression.

      90.

      91.

      92.

      93.

      94.