Exam 7: Rational Expressions and Applications

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Choose the one alternative that best completes the statement or answers the question. -Is it possible to factor the expression 15x9(y + 8) + 8(y + 8)? If so, factor it.

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Choose the one alternative that best completes the statement or answers the question.Solve the equation. -Choose the one alternative that best completes the statement or answers the question.Solve the equation. -  +   =  + Choose the one alternative that best completes the statement or answers the question.Solve the equation. -  +   =  = Choose the one alternative that best completes the statement or answers the question.Solve the equation. -  +   =

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Factor completely. -9 Factor completely. -9   - 42xy + 49  - 42xy + 49 Factor completely. -9   - 42xy + 49

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Solve the problem. -A rectangle has a length of x + 5 and a width of x - 5 and has an area of 56 square units. Find the length and width of the rectangle. (A = LW)

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Find the greatest common factor of the terms. -12 x, 18

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Solve the problem. -A triangle has a base of length x + 2 and a height of x + 8 and has an area of 36 square units. Find the base and height. (A = Solve the problem. -A triangle has a base of length x + 2 and a height of x + 8 and has an area of 36 square units. Find the base and height. (A =   bh) bh)

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Factor completely. If the polynomial is prime, say so. -16 Factor completely. If the polynomial is prime, say so. -16   - 56   - 32  - 56 Factor completely. If the polynomial is prime, say so. -16   - 56   - 32  - 32 Factor completely. If the polynomial is prime, say so. -16   - 56   - 32

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Solve the problem. -The product of two consecutive integers is 11 more than their sum. Find the integers.

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Solve the equation. -Solve the equation. -  = 25y = 25y

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Factor completely. -12m2- 17mn + 6n2= ( 4m - 3n)(_____)

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Solve the problem. -The length of a rectangle is 6 inches more than its width. If 3 inches are taken from the length and added to the width, the figure becomes a square with an area of 169 square inches. What are the dimensions of the original figure?

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Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Use the FOIL method to show that Write the word or phrase that best completes each statement or answers the question.    Provide an appropriate response. -Use the FOIL method to show that   is   If you were asked to completely factor   why would it be incorrect to give   as your answer? is Write the word or phrase that best completes each statement or answers the question.    Provide an appropriate response. -Use the FOIL method to show that   is   If you were asked to completely factor   why would it be incorrect to give   as your answer? If you were asked to completely factor Write the word or phrase that best completes each statement or answers the question.    Provide an appropriate response. -Use the FOIL method to show that   is   If you were asked to completely factor   why would it be incorrect to give   as your answer? why would it be incorrect to give Write the word or phrase that best completes each statement or answers the question.    Provide an appropriate response. -Use the FOIL method to show that   is   If you were asked to completely factor   why would it be incorrect to give   as your answer? as your answer?

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Factor the polynomial completely. -343 Factor the polynomial completely. -343   - 729 - 729

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Solve the equation. -3 Solve the equation. -3   - 11r - 4 = 0 - 11r - 4 = 0

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Factor out the greatest common factor. -24 Factor out the greatest common factor. -24   - 64   - 72  - 64 Factor out the greatest common factor. -24   - 64   - 72  - 72 Factor out the greatest common factor. -24   - 64   - 72

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Factor the polynomial completely. -343 Factor the polynomial completely. -343   + 1 + 1

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Solve the problem. Round to the nearest tenth, if necessary. -If an object is propelled upward from a height of 32 feet at an initial velocity of 64 feet per second, then its height after t seconds is given by the equation Solve the problem. Round to the nearest tenth, if necessary. -If an object is propelled upward from a height of 32 feet at an initial velocity of 64 feet per second, then its height after t seconds is given by the equation   , where h is in feet. After how many seconds will the object reach a height of 96 feet? , where h is in feet. After how many seconds will the object reach a height of 96 feet?

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Factor by grouping. -20x2 - 16x - 15x + 12

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Find the pair of numbers whose product and sum are given. -Product: 288 Sum: 34

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Factor by grouping. -Factor by grouping. -  + 4 y + 9 y + 36 + 4 y + 9 y + 36

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