Exam 5: Exponents and Polynomials

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Divide. Assume all variables represent positive numbers. Divide. Assume all variables represent positive numbers.

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Divide. Divide.

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Perform the indicated operations. Perform the indicated operations.

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A crystal ball with a diameter of 12 inches is being packaged for shipment. If the crystal ball is placed inside a circular cylinder with radius 6 inches and height 12 inches, how much volume will need to be filled with padding? (The volume of a sphere with radius r is A crystal ball with a diameter of 12 inches is being packaged for shipment. If the crystal ball is placed inside a circular cylinder with radius 6 inches and height 12 inches, how much volume will need to be filled with padding? (The volume of a sphere with radius r is   and the volume of a right circular cylinder with radius r and height h is   .)   __________  and the volume of a right circular cylinder with radius r and height h is A crystal ball with a diameter of 12 inches is being packaged for shipment. If the crystal ball is placed inside a circular cylinder with radius 6 inches and height 12 inches, how much volume will need to be filled with padding? (The volume of a sphere with radius r is   and the volume of a right circular cylinder with radius r and height h is   .)   __________  .) A crystal ball with a diameter of 12 inches is being packaged for shipment. If the crystal ball is placed inside a circular cylinder with radius 6 inches and height 12 inches, how much volume will need to be filled with padding? (The volume of a sphere with radius r is   and the volume of a right circular cylinder with radius r and height h is   .)   __________  __________ A crystal ball with a diameter of 12 inches is being packaged for shipment. If the crystal ball is placed inside a circular cylinder with radius 6 inches and height 12 inches, how much volume will need to be filled with padding? (The volume of a sphere with radius r is   and the volume of a right circular cylinder with radius r and height h is   .)   __________

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Perform the division (find the quotient). Perform the division (find the quotient).

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Divide. Divide.

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The displacement, in cubic inches, of a car engine is given by the formula The displacement, in cubic inches, of a car engine is given by the formula   where s is the stroke and b is the bore, as shown in the figure, and c is the number of cylinders. Calculate the engine displacement for the Porsche 911 GT3: 6 cylinders, 3.94 inches of bore, 3.01 inches of stroke. Use 3.14 to approximate   . Please round the answer to the nearest whole.  where s is the stroke and b is the bore, as shown in the figure, and c is the number of cylinders. Calculate the engine displacement for the Porsche 911 GT3: 6 cylinders, 3.94 inches of bore, 3.01 inches of stroke. Use 3.14 to approximate The displacement, in cubic inches, of a car engine is given by the formula   where s is the stroke and b is the bore, as shown in the figure, and c is the number of cylinders. Calculate the engine displacement for the Porsche 911 GT3: 6 cylinders, 3.94 inches of bore, 3.01 inches of stroke. Use 3.14 to approximate   . Please round the answer to the nearest whole.  . Please round the answer to the nearest whole. The displacement, in cubic inches, of a car engine is given by the formula   where s is the stroke and b is the bore, as shown in the figure, and c is the number of cylinders. Calculate the engine displacement for the Porsche 911 GT3: 6 cylinders, 3.94 inches of bore, 3.01 inches of stroke. Use 3.14 to approximate   . Please round the answer to the nearest whole.

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Simplify. Simplify.

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Perform the division (find the quotient). Perform the division (find the quotient).

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Divide. Assume all variables represent positive numbers. Divide. Assume all variables represent positive numbers.

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Fill in the missing terms in the numerator, and then use long division to find the quotients. Fill in the missing terms in the numerator, and then use long division to find the quotients.

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Perform the indicated operations. Perform the indicated operations.

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Multiply binomials using the FOIL method. Multiply binomials using the FOIL method.

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Add the results in each small square together to find the indicated product. Add the results in each small square together to find the indicated product.   x x 9 x       x       9      x x 9 x Add the results in each small square together to find the indicated product.   x x 9 x       x       9      Add the results in each small square together to find the indicated product.   x x 9 x       x       9      Add the results in each small square together to find the indicated product.   x x 9 x       x       9      x Add the results in each small square together to find the indicated product.   x x 9 x       x       9      Add the results in each small square together to find the indicated product.   x x 9 x       x       9      Add the results in each small square together to find the indicated product.   x x 9 x       x       9      9 Add the results in each small square together to find the indicated product.   x x 9 x       x       9      Add the results in each small square together to find the indicated product.   x x 9 x       x       9      Add the results in each small square together to find the indicated product.   x x 9 x       x       9

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Multiply binomials using the FOIL method. Multiply binomials using the FOIL method.

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The length of a rectangle is 9 more than twice the width. Write an expression for the area of the rectangle.

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Multiply. Multiply.

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Divide the polynomial by Divide the polynomial by   .  . Divide the polynomial by   .

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Divide. Divide.

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Simplify. Simplify.

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