MAT 045 FINAL EXAM REVIEW - PART I SPRING 2013

Name___________________________________ Date______________

Directions:~No calculator.~No notes.~Show all work on separate paper.

Simplify the expressions.

1) 1)3 · 2 + 2 · 7 + 4

2) 2)33 · 142 + (15 - 11) · 9

3) 3)9 · 25 - 3(8 - 2)

4) 4)3 · 6 ÷ 9 - 2 ÷ 2 + (13 - 6)

5) 5)20 ÷ 4 · 7 · 20 ÷ (19 - 14)

Solve the problem.

6) 6)The list price of a car is $10,303. The manufacturer offers a rebate of $896. What is the finalprice of the car?

7) 7)Jim bicycled 531 miles in January, 896 miles in February, and 723 miles in March. Howmany miles did he bicycle?

8) 8)One cook can make enough food for 350 people a night. How many cooks are needed tofeed 2100 people a night?

9) 9)A television offer advertised a set of knives for $15 down and $5 a month for 6 months.What is the total cost of the knives?

Find all the factors for the number.

10) 10)30

11) 11)63

Find the prime factorization of the number. Write the answer with exponents when repeated factors appear.

12) 12)63

13) 13)175

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Multiply. Write the answer in lowest terms.

14) 59

·15

14)

15) 15

·12

15)

Multiply. Write the answer in lowest terms and as a whole or mixed number where possible.

16) 22 ·56

16)

17) 38

· 153 17)

Divide. Write the answer in lowest terms and as a whole or mixed number where possible.

18) 511

÷ 1033

18)

19) 19)4914

20) 24 ÷ 35

20)

21) 72

÷ 2 21)

Add. Write your answer in lowest terms.

22) 35

+17

22)

Subtract the fractions. Write the answer in lowest terms.

23) 45

-320

23)

Solve the problem.

24) During elections at the local union, 512

of the members voted. If there are 120 members,

how many voted?

24)

25) A certain scholarship will pay for 23

of a student's total tuition. How much will a student

who receives this scholarship pay toward tuition, if tuition is $270?

25)

2

26) A biology experiment required pouring 35

gallon of nutrient solution and 29

gallon of

pure water into a tank. At the end of the experiment, 310

gallon of fluid had evaporated.

How much fluid remained in the tank?

26)

27) There were 24 58

yards of wire on a spool. After a customer bought 6 78

yards of wire from

the spool, how many yards were left?

27)

28) A box of cereal contains about 12 cups. A serving size is 34

cup. About how many

servings are in the box of cereal?

28)

29) 29)A land developer wants to develop 20 acres of land. Each lot in the development is to be413

of an acre. How many lots will the land developer have in the 20 acres?

Write < or > to make a true statement.

30) 15

____ 211

30)

31) 29

____ 16

31)

Use the order of operations to simplify the expression.

32) 32

+12

·23

32)

33) 2 +13

2-

49

33)

34) 54

÷ 67

+27

34)

Round the number to the place indicated.

35) 35)Round to the nearest tenth: 12.773

36) 36)Round to the nearest hundredth: 9.7324

37) 37)Round to the nearest thousandth: 1.5281

Add.

38) 38)-8 + 4

3

39) 39)-5 + 20

Subtract.

40) 40)-13 - 12

41) 41)-8 - (-6)

Multiply.

42) 42)-7 · (-18)

43) 98

-53

43)

Divide.

44) -355

44)

45) 12-3

45)

Follow the order of operations to work the problem.

46) 46)-23 - (-1 - 10) - 6

Simplify.

47) 47)(-7)2 + (-4)2 - 7

48) 6(2 + 7) + 6(3)6(4 - 1)

48)

Solve the problem.

49) 49)After one round in a card game, your score was 50 points. After the second round, yourtotal score was -36 points. How many points did you gain in the second game?

50) 50)The stock market gained 54 points on Tuesday and lost 48 points on Wednesday. Find thedifference between these changes.

Use the given values of the variables to find the value of the expression.

51) 51)-4x + 3y + 9a for x = -4, y = -3, a = 2

52) 52)-5a(7x - 5y) for x = -1, y = -4, a = 2

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A formula is given, along with values for all but one of the variables in the formula. Find the value of the variable that isnot given.

53) 53)P = 2L + 2W; L = 3, W = 7

54) A =12

bh; b = 7, h = 14 54)

55) 55)A = r2; r = 5, = 3.14

Solve the equation.

56) 56)-3 = 9 + f

57) x +14

=34

57)

58) 58)4.9 + x = 24.8

59) 59)3z + 10 = 2z + 5

60) 60)-5a + 2 + 6a = 14 - 30

61) 61)3(y + 8) = 4(y - 4)

62) 62)-9x + 7(2x - 4) = -19 - 4x

Translate to an equation, then solve.

63) 63)If eight more than a number is equal to twelve, what is the number?

64) 64)If four less than a number is sixteen, what is the number?

65) 65)Twenty-four more than the product of four and x yields sixty. Find x.

Solve the problem.

66) 66)If twice Aaron's age is increased by 26, the result is three times Aaron's age. How old isAaron?

67) 67)A wire is cut into two pieces, with one piece 14 feet shorter than the other. The wire was66 feet before it was cut. How long is the shortest length of wire?

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