for tutor daniel

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tutor_deniel.docx

1)

A boat travels 3 miles upstream in the same time it takes to travel 4 miles downstream. If the speed of the boat in still water is 7 mph, find the speed of the current.

2)

Find the domain of the rational function f(x) =

3)

Divide and simplify: ÷

4)

Solve: = -x and verify if your solutions satisfy this equation.

5)

Express in the simplest radical form:

6)

Rationalize the denominator:

7)

Simplify and express with positive exponents only:

8)

Erin notices that her monthly electric bill is inversely proportional to the thermostat setting of her air conditioner. When she sets her thermostat to 70°, her monthly electric bill is $120. What will her electric bill be if she sets her thermostat to 75°?

9)

Solve the equation x2 – 6x = 3 by completing the square.

Express the solution in the simplest radical form.

10)

A father and a son clean their house together in 3 hours. When the son works alone, it takes him an hour longer to clean than it takes his dad alone. Find how long it takes the son to clean alone (round to the nearest tenth of an hour).

4

9

x

3

x

x

2

+

+

x

6

16

-

108

8

300

48

2

+

-

7

2

3

-

y

x

y

x

2

3

1

2

5

3

1

5

2

÷

÷

ø

ö

ç

ç

è

æ

-

x

16

x

8

x

3

-

-

27

x

x

x

3

3

2

-

-