Exam 2: Solving Equations and Inequalities

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Solve: Solve:

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Simplify Simplify   and write the answer in standard form. and write the answer in standard form.

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The scatter plots of different data are shown below. Determine whether there is a positive correlation, negative correlation, or no discernible correlation between the variables. The scatter plots of different data are shown below. Determine whether there is a positive correlation, negative correlation, or no discernible correlation between the variables.

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Determine any point(s) of intersection between the following equations. Determine any point(s) of intersection between the following equations.

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Find an equation that has Find an equation that has   ,-i, -5, and 4 as solutions. ,-i, -5, and 4 as solutions.

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Solve: Solve:

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Simplify Simplify   and write the answer in standard form. and write the answer in standard form.

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The average lengths L of cellular phone calls in minutes from 1999 to 2004 are shown in the table below. The average lengths L of cellular phone calls in minutes from 1999 to 2004 are shown in the table below.   Use the regression feature of a graphing utility to find a linear model for the data. Let t represent the year, with t = 9 corresponding to 1999. Use the model to predict the average lengths of cellular phone calls for the year 2010. Round your answer to two decimal places. Use the regression feature of a graphing utility to find a linear model for the data. Let t represent the year, with t = 9 corresponding to 1999. Use the model to predict the average lengths of cellular phone calls for the year 2010. Round your answer to two decimal places.

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Use absolute value notation to define the interval shown below. Use absolute value notation to define the interval shown below.   -1 9 -1 9

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Determine whether there is positive correlation, negative correlation, or no discernible correlation between the variables shown in the scatter plot below. Determine whether there is positive correlation, negative correlation, or no discernible correlation between the variables shown in the scatter plot below.

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Solve Solve   by factoring. by factoring.

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Which of the following is a zero of the given function? Which of the following is a zero of the given function?     ,   ,   ,  Which of the following is a zero of the given function?     ,   ,   ,  , Which of the following is a zero of the given function?     ,   ,   ,  , Which of the following is a zero of the given function?     ,   ,   ,  , Which of the following is a zero of the given function?     ,   ,   ,

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Find the x-intercepts of the graph of the equation Find the x-intercepts of the graph of the equation

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Solve Solve   by factoring. by factoring.

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Solve the inequality Solve the inequality   and write the solution set in interval notation. and write the solution set in interval notation.

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Solve Solve   using the quadratic formula. using the quadratic formula.

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Given the following equation, set Given the following equation, set   and solve the resulting equation.  and solve the resulting equation. Given the following equation, set   and solve the resulting equation.

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Find all solutions of Find all solutions of   . .

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The average lengths L of cellular phone calls in minutes from 1999 to 2004 are shown in the table below. The average lengths L of cellular phone calls in minutes from 1999 to 2004 are shown in the table below.   Use the regression feature of a graphing utility to find a linear model for the data. Let t represent the year, with t = 9 corresponding to 1999. Use the model to predict the average lengths of cellular phone calls for the year 2012. Round your answer to two decimal places. Use the regression feature of a graphing utility to find a linear model for the data. Let t represent the year, with t = 9 corresponding to 1999. Use the model to predict the average lengths of cellular phone calls for the year 2012. Round your answer to two decimal places.

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Solve the following quadratic equation by factoring. Solve the following quadratic equation by factoring.

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