Question 1

Divide and simplify to the form a + bi.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 2

Simplify.
-

Accepted Answer

A)  13 
B)  72 
C)  12 
D)  does not exist as a real number

Question 3

Multiply.
--18i ·-14i

Accepted Answer

A)  -252 
B)  252 
C)  252i 
D)  -252i

Question 4

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

Accepted Answer

The answer of Write the word or phrase that best...

Question 5

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?

Accepted Answer

A)  64 m 
B)  72 m 
C)  24 m 
D)  51 m

Question 6

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

Accepted Answer

A)   
B)   
C)   
D)

Question 7

Rewrite with rational exponents.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 8

Express in terms of i.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 9

Simplify.
-

Accepted Answer

A)  -5x 
B)  -125x 
C)  5x 
D)

Question 10

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.

Accepted Answer

A)  66 mph 
B)  44 mph 
C)  81 mph 
D)  104 mph

Question 11

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?

Accepted Answer

The answer of Write the word or phrase that best...

Question 12

Simplify.
-

Accepted Answer

A)  i 
B)  -1 
C)  -i 
D)  1

Question 13

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

Accepted Answer

A)   
B)   
C)   
D)

Question 14

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.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 15

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

Accepted Answer

A)   
B)   
C)   
D)

Question 16

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

Accepted Answer

A)  -12 - 21i 
B)  -12 + 21i 
C)  24 - 3i 
D)

Question 17

Express in terms of i.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 18

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

Accepted Answer

A)  Does not exist as a real number 
B)   
C)   
D)

Question 19

Find the square roots.
-324

Accepted Answer

A)  19, -19 
B)  36, -36 
C)  20, -20 
D)  18, -18

Question 20

Divide and simplify to the form a + bi.
-

Accepted Answer

A)   
B)   
C)   
D)

Exam 11: Radical Expressions, Equations, and Functions

Divide and simplify to the form a + bi. -

Simplify. -

Multiply. --18i ·-14i

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

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?

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

Rewrite with rational exponents. -

Express in terms of i. -

Simplify. -

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.

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?

Simplify. -

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

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. -

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

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

Express in terms of i. -

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

Find the square roots. -324

Divide and simplify to the form a + bi. -