Exam 1: Equations, Inequalities, and Modeling

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Solve the inequality. Write the solution set using interval notation and graph it. -Solve the inequality. Write the solution set using interval notation and graph it. -

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Find the real or imaginary solutions by using the quadratic formula. -Find the real or imaginary solutions by using the quadratic formula. -  x = 6 x = 6

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Write the solution set in interval notation. -Write the solution set in interval notation. -

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Solve the problem. -A ball is thrown downward from a window in a tall building. Its position at time t in seconds is s = 16t2 + 32t, where s is in feet. How long (to the nearest tenth) will it take the ball to fall 187 feet?

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Perform the indicated operations and write the answer in the form a + bi, where a and b are real numbers. -(6 + 8i) - (-4 + i)

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Solve the equation. Identify the equation as an identity, an inconsistent equation, or a conditional equation. -4(4f - 18) = 16f - 72

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Solve the equation. Identify the equation as an identity, an inconsistent equation, or a conditional equation. -Solve the equation. Identify the equation as an identity, an inconsistent equation, or a conditional equation. -

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Identify the complex number as real or imaginary. -Identify the complex number as real or imaginary. -

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Solve the problem. -A salesperson has two job offers. Company A offers a weekly salary of $640 plus commission of 16% of sales. Company B offers a weekly salary of $1280 plus commission of 8% of sales. What is the amount of sales above Which Company A's offer is the better of the two?

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Solve the inequality. Write the solution set using interval notation and graph it. -Solve the inequality. Write the solution set using interval notation and graph it. -

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Change the equation to slope-intercept form and identify the slope and y-intercept. -11x + 9y = 15

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Write the ordered pair for each point shown in the xy plane. -Write the ordered pair for each point shown in the xy plane. -

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Solve the equation. Identify the equation as an identity, an inconsistent equation, or a conditional equation. -Solve the equation. Identify the equation as an identity, an inconsistent equation, or a conditional equation. -

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Solve the equation. Identify the equation as an identity, an inconsistent equation, or a conditional equation. -16m + 4 = 2(5m + 29)

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Use the square root property to find all real or imaginary solutions to the equation. -Use the square root property to find all real or imaginary solutions to the equation. -  - 144 = 0 - 144 = 0

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Name the quadrant in which the point is located, or the axis on which it lies . -(0, -17)

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Write an inequality of the form Write an inequality of the form   k or of the form   k so that the inequality has the given solution set. - k or of the form Write an inequality of the form   k or of the form   k so that the inequality has the given solution set. - k so that the inequality has the given solution set. -Write an inequality of the form   k or of the form   k so that the inequality has the given solution set. -

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Solve the problem. -Your company uses the quadratic model Solve the problem. -Your company uses the quadratic model   to represent the average number of new customers who will be signed on (x) weeks after the release of your new service. How many new customers can you Expect to gain in week 30? to represent the average number of new customers who will be signed on (x) weeks after the release of your new service. How many new customers can you Expect to gain in week 30?

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Solve the problem. -In one U.S. town the annual consumption, b, of beef (in kg per person) can be estimated by Solve the problem. -In one U.S. town the annual consumption, b, of beef (in kg per person) can be estimated by   , where t is the number of years since 1975. Estimate the beef consumption in the year 1988. , where t is the number of years since 1975. Estimate the beef consumption in the year 1988.

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Find the equation of the line through the given pair of points in standard form using only integers. -(-4, -1) and (3, 4)

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