Exam 11: Radical Expressions, Equations, and Functions

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Divide and simplify to the form a + bi. -Divide and simplify to the form a + bi. -

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Simplify. -Simplify. -

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Multiply. --18i ·-14i

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Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Explain a method that could be used to solve Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Explain a method that could be used to solve

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Solve the problem. If necessary, round to the nearest tenth. -On a sunny day, a flag pole and its shadow form the sides of a right triangle. If the hypotenuse is 40 m long and the shadow is 32 m, how tall is the flag pole?

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Rationalize the denominator. Assume that no radicands were formed by raising negative numbers to even powers. -Rationalize the denominator. Assume that no radicands were formed by raising negative numbers to even powers. -

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Rewrite with rational exponents. -Rewrite with rational exponents. -

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Express in terms of i. -Express in terms of i. -

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Simplify. -Simplify. -

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Answer the question. -Police use a formula Answer the question. -Police use a formula   , where S is the test-car speed and L is the test-skid length, to find the actual speed s in an accident which left a skid mark of l. Find the speed (nearest whole mph) when S = 54 mph, L = 150 ft, L = 100 ft. , where S is the test-car speed and L is the test-skid length, to find the actual speed s in an accident which left a skid mark of l. Find the speed (nearest whole mph) when S = 54 mph, L = 150 ft, L = 100 ft.

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Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Why is it important to know how to multiply radical expressions before learning to divide them?

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Simplify. -Simplify. -

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For the given function, find the indicated function value. -For f(x) = For the given function, find the indicated function value. -For f(x) =   , find f(5). , find f(5).

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Add or subtract. Then simplify by collecting like radical terms, if possible. Assume that no radicands were formed by raising negative numbers to even powers. -Add or subtract. Then simplify by collecting like radical terms, if possible. Assume that no radicands were formed by raising negative numbers to even powers. -

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Use rational exponents to simplify. Write the answer in radical notation if appropriate. -Use rational exponents to simplify. Write the answer in radical notation if appropriate. -

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Multiply. -(2 + 3i)(3 + 6i)

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Express in terms of i. -Express in terms of i. -

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For the given function, find the indicated function value. -For f(x) = For the given function, find the indicated function value. -For f(x) =   find f(-6). find f(-6).

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Find the square roots. -324

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Divide and simplify to the form a + bi. -Divide and simplify to the form a + bi. -

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