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Exam 10: Completing the Square

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Exam 1: Notation and Symbols329 Questionsadd course
Exam 2: Simplifying Expressions285 Questionsadd course
Exam 3: Paired Data and Graphing Ordered Pairs217 Questionsadd course
Exam 4: Multiplication With Exponents300 Questionsadd course
Exam 5: The Greatest Common Factor and Factoring by Grouping295 Questionsadd course
Exam 6: Reducing Rational Expressions to Lowest Terms263 Questionsadd course
Exam 7: Review of Solving Equations262 Questionsadd course
Exam 8: The Slope of a Line190 Questionsadd course
Exam 9: Rational Exponents264 Questionsadd course
Exam 10: Completing the Square187 Questionsadd course
Exam 11: Exponential Functions226 Questionsadd course
Exam 12: The Circle95 Questionsadd course
Exam 13: Sequences190 Questionsadd course
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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. y = __________ y = __________

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Question 1
Correct 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. ,

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Question 2
Correct Answer:
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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 40 feet of fencing available. Find the dimensions of the exercise yard that will enclose the maximum area. 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 40 feet of fencing available. Find the dimensions of the exercise yard that will enclose the maximum area.

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Question 3
Correct Answer:
Verified

E

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

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Question 4

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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Question 5

Solve the formula Solve the formula

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Question 6

Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square. Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square. _____ _____ _____ Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square. _____ _____ _____ Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square. _____ _____

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Question 7

Use the discriminant to find the number and kind of solutions for the following equation. Use the discriminant to find the number and kind of solutions for the following equation. Discriminant __________ How many solutions does the equation have? __________ What kind of solutions are they? __________ Discriminant Use the discriminant to find the number and kind of solutions for the following equation. Discriminant __________ How many solutions does the equation have? __________ What kind of solutions are they? __________ __________ How many solutions does the equation have? __________ What kind of solutions are they? __________

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Question 8

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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Question 9

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.

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Question 10

Determine Determine so that the following quadratic equation has exactly one real solution. k = __________ so that the following quadratic equation has exactly one real solution. Determine so that the following quadratic equation has exactly one real solution. k = __________ k = __________

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Question 11

Solve the equation. Solve the equation. x = __________ x = __________

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Question 12

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. t = __________ t = __________

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Question 13

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.

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Question 14

Solve the equation. Solve the equation. x = __________ x = __________

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Question 15

Solve the equation. Solve the equation.

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Question 16

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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Question 17

Use the discriminant to find the number and kind of solutions for the following equation. Use the discriminant to find the number and kind of solutions for the following equation. Discriminant __________ How many solutions does the equation have? __________ What kind of solutions are they? __________ Discriminant Use the discriminant to find the number and kind of solutions for the following equation. Discriminant __________ How many solutions does the equation have? __________ What kind of solutions are they? __________ __________ How many solutions does the equation have? __________ What kind of solutions are they? __________

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Question 18

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

(Multiple Choice)
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Question 19

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

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