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

(Multiple Choice)
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Question 161

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

(Multiple Choice)
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Question 162

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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Question 163

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.

(Short Answer)
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Question 164

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.

(Multiple Choice)
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Question 165

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

(Short Answer)
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Question 166

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. , ,

(Multiple Choice)
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Question 167

A company finds that it can make a profit of A company finds that it can make a profit of dollars each month by selling patterns, according to the formula How many patterns must it sell each month to have a maximum profit? Number of patterns = __________ Maximum Profit = $ __________ dollars each month by selling A company finds that it can make a profit of dollars each month by selling patterns, according to the formula How many patterns must it sell each month to have a maximum profit? Number of patterns = __________ Maximum Profit = $ __________ patterns, according to the formula A company finds that it can make a profit of dollars each month by selling patterns, according to the formula How many patterns must it sell each month to have a maximum profit? Number of patterns = __________ Maximum Profit = $ __________ How many patterns must it sell each month to have a maximum profit? Number of patterns = __________ Maximum Profit = $ __________

(Short Answer)
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Question 168

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

(Multiple Choice)
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Question 169

Solve the equation. Solve the equation.

(Short Answer)
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Question 170

An object is tossed into the air with an upward velocity of 4 feet per second from the top of a building h feet high. The time it takes for the object to hit the ground below is given by the formula An object is tossed into the air with an upward velocity of 4 feet per second from the top of a building h feet high. The time it takes for the object to hit the ground below is given by the formula . Solve this formula for t . (Time t is in seconds.) . Solve this formula for t . (Time t is in seconds.) An object is tossed into the air with an upward velocity of 4 feet per second from the top of a building h feet high. The time it takes for the object to hit the ground below is given by the formula . Solve this formula for t . (Time t is in seconds.)

(Short Answer)
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Question 171

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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Question 172

Determine all solutions for Determine all solutions for . k = __________ . Determine all solutions for . k = __________ k = __________

(Short Answer)
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Question 173

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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Question 174

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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Question 175

The length of a rectangle is 5 inches more than twice the width. If the area is to be at least 75 square inches, what are the possibilities for the width?

(Multiple Choice)
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Question 176

Solve the equation. Solve the equation.

(Multiple Choice)
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Question 177

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 = __________

(Short Answer)
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Question 178

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. _____ _____

(Multiple Choice)
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Question 179

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

(Short Answer)
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Question 180
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