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.)   x = __________ x = __________

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Find an equation that has the given solutions. Find an equation that has the given solutions.   ,  , Find an equation that has the given solutions.   ,

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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.)   x = __________ x = __________

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Find an equation that has the given solutions. Find an equation that has the given solutions.   ,   ,  , Find an equation that has the given solutions.   ,   ,  , Find an equation that has the given solutions.   ,   ,

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Find the coordinates of the vertex, and indicate whether the vertex is the highest point on the graph or the lowest point on the graph. Find the coordinates of the vertex, and indicate whether the vertex is the highest point on the graph or the lowest point on the graph.

(Multiple Choice)
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For the equation, find the coordinates of the vertex, and indicate whether the vertex is the highest point on the graph or the lowest point on the graph. (Do not graph.) For the equation, find the coordinates of the vertex, and indicate whether the vertex is the highest point on the graph or the lowest point on the graph. (Do not graph.)   Vertex = __________ The vertex is the __________ point on the graph. Vertex = __________ The vertex is the __________ point on the graph.

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Solve the equation. Solve the equation.

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Multiply both sides of the equation by their LCD. Then solve the resulting equation. Multiply both sides of the equation by their LCD. Then solve the resulting equation.

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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.   x = __________ x = __________

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

(Multiple Choice)
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Look for the greatest common factor, then use the quadratic formula to find all solutions. Look for the greatest common factor, then use the quadratic formula to find all solutions.   y = __________ y = __________

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

(Multiple Choice)
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Solve the equation. Solve the equation.

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For the following equation, find the x -intercepts and the coordinates of the vertex, and choose the corresponding graph. For the following equation, find the x -intercepts and the coordinates of the vertex, and choose the corresponding graph.

(Multiple Choice)
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Justin wants to fence 3 sides of a rectangular exercise yard for his dog. The fourth side of the exercise yard will be a side of the house. He has 80 feet of fencing available. Find the dimensions of the exercise yard that will enclose the maximum area. Side x = __________ Side 80 - 2 x = __________ Justin wants to fence 3 sides of a rectangular exercise yard for his dog. The fourth side of the exercise yard will be a side of the house. He has 80 feet of fencing available. Find the dimensions of the exercise yard that will enclose the maximum area. Side x = __________ Side 80 - 2 x = __________

(Short Answer)
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Find an equation that has the given solutions. Find an equation that has the given solutions.   ,   ,  , Find an equation that has the given solutions.   ,   ,  , Find an equation that has the given solutions.   ,   ,

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Solve the equation. Solve the equation.

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Find the vertex and any two convenient points to choose the graph of the following equation. Find the vertex and any two convenient points to choose the graph of the following equation.

(Multiple Choice)
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Suppose a deposit of $3,500 in a savings account that paid an annual interest rate Suppose a deposit of $3,500 in a savings account that paid an annual interest rate   (compounded yearly) is worth $3,977 after 2 years. Using the formula   , we have   Solve for r to find the annual interest rate. Round the answer to the nearest tenth. (compounded yearly) is worth $3,977 after 2 years. Using the formula Suppose a deposit of $3,500 in a savings account that paid an annual interest rate   (compounded yearly) is worth $3,977 after 2 years. Using the formula   , we have   Solve for r to find the annual interest rate. Round the answer to the nearest tenth. , we have Suppose a deposit of $3,500 in a savings account that paid an annual interest rate   (compounded yearly) is worth $3,977 after 2 years. Using the formula   , we have   Solve for r to find the annual interest rate. Round the answer to the nearest tenth. Solve for r to find the annual interest rate. Round the answer to the nearest tenth.

(Multiple Choice)
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