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Review for Test III #1
Intermediate Algebra / MAT135 Spring 2010 (Prof. Greenbaun)
1. Multiply.
Simplify your answer as much as possible.
2. A car travels at an average speed of
3. Solve for
miles per hour. How long does it take to travel
miles?
:
.
4. Write the following expression in simplified radical form.
Assume that all variables represent positive real numbers.
5. Write without exponents:
.
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6. Simplify.
7. Find all values of
which satisfy the equation
.
8. Compute the following:
.
9. Write the following as an exponential expression.
10. Simplify the following expression as much as possible:
Assume that all variables represent positive real numbers.
11. Simplify the following expression as much as possible:
.
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12. Write in simplified radical form by rationalizing the denominator.
13. Rationalize the denominator and simplify.
14. Write the following expression in simplified radical form.
Assume that all of the variables in the expression represent positive real numbers.
15. Evaluate. Write your answer without exponents.
16. Simplify the expression.
Write your answer without using negative exponents.
Assume that all variables are positive real numbers.
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17. Rationalize the denominator and simplify.
18. Simplify the expression.
Write your answer without using negative exponents.
Assume that all variables are positive real numbers.
19. Write the following expression in simplified radical form.
Assume that all of the variables in the expression represent positive real numbers.
20. Simplify the following expression as much as possible:
Assume that all variables represent positive real numbers.
21. Perform the following division:
.
Write your answer in the form
, where
is the quotient and
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is the remainder of the
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division.
22. Perform the following division:
.
Write your answer in the form
, where
is the quotient and
is the remainder of the
division.
23. Rewrite the following in simplified radical form.
Assume that all variables represent positive real numbers.
24. The ratio of men to women at a certain company is
there are
to
. How many male employees does the company have if
employees?
25. Perform the following division:
.
Write your answer in the form
, where
is the quotient and
is the remainder of the
division.
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26. Simplify.
27. Simplify.
Assume that all variables represent positive real numbers.
28. How long will it take
days?
machines to complete a task, given that
machines can complete the same task in
29. Multiply.
Simplify your answer as much as possible.
30. Solve for
:
.
Simplify your answer as much as possible.
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Review for Test III #1 Answers for class Intermediate Algebra / MAT135 Spring
2010
1.
2.
hours
minutes
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8.
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16.
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days
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29.
30.
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