MAT 95 Practice for the Final Exam #3 Pre-Algebra and Introductory Algebra / MAT 95 Spring 1, 2015 – 3133 (Prof. Won) Student Name/ID:

1. Find the perimeter of the following polygon. Be sure to include the correct unit in your answer.

2. Round

to the nearest thousand.

3. Find the area of this rectangle.

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4. Evaluate the following expression.

5. Add.

6. Subtract.

7. Subtract.

8. Evaluate.

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9. Evaluate the following.

10. Evaluate.

11. Solve for

Simplify your answer as much as possible.

12. Solve for

Simplify your answer as much as possible.

13. Evaluate. Write your answer as a fraction in simplest form.

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14. Evaluate.

Write your answer in simplest form.

15. Write

as a mixed number.

16. Evaluate. Write your answer as a fraction in simplest form.

17. Translate the sentence into an equation. Twice the difference of a number and Use the variable

is

for the unknown number.

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18. Find the area of the following rectangle. Write your answer in simplest form. Be sure to include the correct unit in your answer.

19. Round

to the nearest hundredth.

20. Divide.

21. Find the area and the circumference of a circle with radius Use the value

for

and do not round your answers. Be sure to include the correct units in your

answers.

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22. Compute.

23. Multiply.

24. Write as a fraction. Do not try to simplify your answer.

25. Solve for

Simplify your answer as much as possible.

26. Write

as a fraction in simplest form.

27. (a) Write (b) Write

as a decimal. as a percentage.

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28. Sam runs

miles in

minutes. At the same rate, how many miles would he run in

29. A sofa is on sale for

minutes?

off. The sale price is

What is the regular price?

30. Write

as a percentage.

31. The price of an item has dropped to

today. Yesterday it was

Find the percentage decrease.

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32. A certain shampoo is available in two sizes. A

-ounce bottle costs

A

-ounce bottle

costs Find the unit price for each size. Then state which size is the better buy based on the unit price. Round your answers to the nearest cent.

Unit price for the

-ounce bottle:

______ per ounce Unit price for the

-ounce bottle:

______ per ounce The better buy: The

-ounce bottle

The

-ounce bottle

Neither (They have the same unit price)

33. Write

as a decimal.

34. Solve for

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35. Evaluate.

36. Write

in scientific notation.

37. Find an ordered pair

that is a solution to the equation.

38. Solve the inequality for

Simplify your answer as much as possible.

39. Write

in scientific notation.

40. Calculate.

Write your answer in scientific notation.

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41. Calculate.

Write your answer in scientific notation.

42. Rewrite the following without an exponent.

43. Follow the instructions below. Write

without exponents.

Fill in the blanks.

44. Evaluate.

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45. Solve for

46. An item costs

before tax, and the sales tax is

Find the sales tax rate. Write your answer as a percentage.

47. Write

as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats.

48. Debra bought a suit on sale for

This price was

less than the original price.

What was the original price?

49. A laptop has a listed price of laptop with sales tax included.

before tax. If the sales tax rate is

find the total cost of the

Round your answer to the nearest cent, as necessary.

50. The price of an item yesterday was

Today, the price fell to

Find the percentage decrease.

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51. Solve for

Simplify your answer as much as possible.

52. Write

53. What is

as an improper fraction.

of

54. Solve for

Simplify your answer as much as possible.

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MAT 95 Practice for the Final Exam #3 Answers for class Pre-Algebra and Introductory Algebra / MAT 95 Spring 1, 2015 – 3133

1. 2. 3. 4. 5.

6.

7.

8.

9. 10. 11. 12. 13.

14.

15.

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16.

17. 18.

19. 20. 21. Area: Circumference: 22.

23. 24.

25. 26.

27. (a) (b) 28.

miles

29. 30. 31.

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32. Unit price for the

-ounce bottle:

per ounce

Unit price for the

-ounce bottle:

per ounce

The better buy:

The

-ounce bottle

The

-ounce bottle

Neither (They have the same unit price)

33. 34. 35.

36. 37. One possible answer is 38. 39. 40. 41. 42.

43. Write

without exponents.

Fill in the blanks.

44.

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45. 46. 47. 48. 49. Total cost: 50. 51. 52.

53. 54.

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