Exam 10: Completing the Square

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Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.) Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)

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Solve the following quadratic equation by completing the square. Solve the following quadratic equation by completing the square.

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The total cost (in dollars) for a company to manufacture and sell x items per week is The total cost (in dollars) for a company to manufacture and sell x items per week is   , whereas the revenue brought in by selling all x items is   . How many items must be sold to obtain a weekly profit of $300? __________ items , whereas the revenue brought in by selling all x items is The total cost (in dollars) for a company to manufacture and sell x items per week is   , whereas the revenue brought in by selling all x items is   . How many items must be sold to obtain a weekly profit of $300? __________ items . How many items must be sold to obtain a weekly profit of $300? __________ items

(Short Answer)
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Solve the equation. Solve the equation.   x = __________ x = __________

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The graph of The graph of   is shown below.   Use the graph to find the solution set for the following inequality.  is shown below. The graph of   is shown below.   Use the graph to find the solution set for the following inequality.  Use the graph to find the solution set for the following inequality. The graph of   is shown below.   Use the graph to find the solution set for the following inequality.

(Short Answer)
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Suppose the equation that gives the height Suppose the equation that gives the height   of the human cannonball after he has traveled   feet horizontally is given by:     What is   ? of the human cannonball after he has traveled Suppose the equation that gives the height   of the human cannonball after he has traveled   feet horizontally is given by:     What is   ? feet horizontally is given by: Suppose the equation that gives the height   of the human cannonball after he has traveled   feet horizontally is given by:     What is   ? Suppose the equation that gives the height   of the human cannonball after he has traveled   feet horizontally is given by:     What is   ? What is Suppose the equation that gives the height   of the human cannonball after he has traveled   feet horizontally is given by:     What is   ? ?

(Multiple Choice)
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Solve the equation using the quadratic formula. Solve the equation using the quadratic formula.

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Solve the following quadratic equation by completing the square. Solve the following quadratic equation by completing the square.   x = __________ x = __________

(Short Answer)
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Find the value of Find the value of   when  when Find the value of   when

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Solve the following quadratic equation by completing the square. Solve the following quadratic equation by completing the square.

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Solve the equation. Solve the equation.

(Short Answer)
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If the length of the shorter sides of a If the length of the shorter sides of a   triangle is   , find the length of the hypotenuse, in terms of   .  triangle is If the length of the shorter sides of a   triangle is   , find the length of the hypotenuse, in terms of   .  , find the length of the hypotenuse, in terms of If the length of the shorter sides of a   triangle is   , find the length of the hypotenuse, in terms of   .  . If the length of the shorter sides of a   triangle is   , find the length of the hypotenuse, in terms of   .

(Multiple Choice)
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Solve the formula Solve the formula

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Solve the inequality and graph the solution set. Solve the inequality and graph the solution set.

(Multiple Choice)
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Solve the following equation. Remember, if you square both sides of an equation in the process of solving it, you have to check all solutions in the original equation. Solve the following equation. Remember, if you square both sides of an equation in the process of solving it, you have to check all solutions in the original equation.

(Short Answer)
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Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.) Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)

(Multiple Choice)
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Determine Determine   so that the following equation has exactly one real solution.  so that the following equation has exactly one real solution. Determine   so that the following equation has exactly one real solution.

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Solve the inequality and graph the solution set. Solve the inequality and graph the solution set.

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Solve the following equation. Remember, if you square both sides of an equation in the process of solving it, you have to check all solutions in the original equation. Solve the following equation. Remember, if you square both sides of an equation in the process of solving it, you have to check all solutions in the original equation.   t = __________ t = __________

(Short Answer)
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Determine Determine   so that the following quadratic equation has exactly one real solution.  so that the following quadratic equation has exactly one real solution. Determine   so that the following quadratic equation has exactly one real solution.

(Multiple Choice)
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