# PREALGEBRA FINAL EXAM REVIEW

**NOTE: **On the MAT 0012 final exam you will be asked
to complete the first half of the

exam without a calculator and the second half with a calculator. Therefore, when

completing this review packet, you should complete the first part without a
calculator and

the second part with a calculator.

**NON-CALCULATOR PORTION**

**Directions:** Show all supporting work. Always attach
the correct units where possible.

Reduce all fractions to lowest terms .

Section 1.2

1) Write 42,097,823 in word form

2) Write the following whole number

in standard form:

Nine hundred eighty thousand,

six hundred seventeen

Section 1.3

3) Add: 25,735+1,946+349+87

4) Subtract: 76,437-8,978

Section 1.4

5) Round 43,874 to the nearest

thousand

6) Round 231,568,672 to the nearest

million

Section 1.5

7) Multiply: 3,748× 43

8) Find the area of a rectangular

garden with a length of 42 feet

and width of 37 feet.

Section 1.6

9) Divide: 5684 ÷14

10) Divide: 73,753 ÷801

Section 1.7

11) 4^{2} (9 − 7) + (5 − 2)^{3}

12) 10^{2} ÷ 5× 2 −1^{5}

Section 1.8

13) Evaluate

when x = 5 and y = 3

14) Evaluate 3x + 7xy when x = 2

and y = 4

Section 2.1

For numbers 14 and 15, Insert >, < or =

between each pair of numbers to make a

true statement.

Section 2.2

17) − 5 + 24 + (−7)

18) − 8 + (−23) +17 + (−7)

Section 2.3

19) − 2 − (−12) + 3 − 7

20) 8 + (−5) − 4 − (−14)

Section 2.4

21) −12(−35)

22) −360 ÷ 6

Section 2.5

23) Simplify: (7 −11)^{2} ÷ (2 − 4)^{2}

24) Evaluate x^{2} + 3x −1 when

x = −2

Section 2.6

25) Solve and check your solution :

y + 7 = 2

26) Solve and check your solution:

− 9x = 81

Section 3.1

27) Simplify the following by

combining like terms :

3x − (5x + 3) + 4

28) Simplify the following by

combining like terms:

− (5x + 3) − 2(x − 5) +13

Section 3.2

29) Solve for x :

5x + 30 − 4x − 28 = 10

30) Solve for x :

12x +10 = 11(x −1)

Section 3.3

31) Solve for x : 5x +1 = 2(3x − 5)

32) Solve for x :

2 − 3(5x + 2) = 2(3 − 5x)

Section 3.4

33) Translate into an algebraic

equation and solve. Use x to

represent “a number.”

Three times the sum of a number

and five is the same as the sum

of that number and one.

Section 4.1

34) In a pre -algebra class containing

25 students, there are 14 women.

a) What fraction of the class

is female?

b) What fraction of the class

is male?

Section 4.2

35) Simplify the fraction:

36) Find the prime factorization of

540. Write in exponential form .

Section 4.3

37) Multiply. Write the product in

simplest form.

38) Divide. Write the quotient in

simplest form.

Section 4.4

39) Add and simplify :

Section 4.5

40) Add:

41) Subtract:

Section 4.6

42) Use the order of operations to

simplify the following

expression:

Section 4.7

43) Add and express the answer as a

mixed number in simplest form:

44) Subtract and express the answer

as a mixed number in simplest

form:

Section 4.8

45) Solve the following equation and

simplify:

46) Solve the following equation and

simplify:

Section 5.1

47)Write 4.65 in word form.

48) Round 3.2791 to the nearest

hundredth

Section 5.2

49) Perform the indicated operations:

− 8.01+ (−9.7) −12.082

Section 5.3

50)Multiply: (23.45) · (3.5)

Section 5.4

51) Divide using long division:

188.6 ÷ 2.3

Section 5.5

52) Simplify the following

expression: (5.1− 4.3)^{2} + (.5)^{2}

Section 5.6

53) Solve the following equation:

.3x − 7.1 = 80.8

Section 5.7

54) Find Jill’s average (mean) test

grade if her grades are: 79, 83,

92, 68 and 87. Round the

average grade to the nearest

whole number.

Section 6.1

55) There are 2 black pens and 10

orange pens in a jar.

a) What fraction of the pens

is orange?

b) Write the ratio of black

pens to orange pens.

56) The ratio of males to females at

Jones High School is 5:4. If there

are 800 females that attend

Jones, how many males attend?

Section 6.2

57) Solve the proportion for the

given variable .

Section 6.3

58) Find how far apart Albany and

Rochester are in Kilometers if

their corresponding points on a

map are 15 centimeters apart.

Use 1 centimeter = 30

Kilometers.

Section 6.4

59) Evaluate

60) Evaluate

Section 7.1

61)Write 1.4% as a decimal

62) Write 8.32 as a percent

Section 7.2

63) Solve: What is 20% of 60?

64) Solve: 46 is what percent of 50?

Section 7.3

65) Set up a proportion and solve:

What percent of 500 is 125?

Section 7.4

66) From 2005 to 2008, the value of

a house decreased from $270,000

to $195,000. Find the percent

decrease of the price of the

house. Round answer to the

nearest tenth of a percent.

Section 7.5

67) A $350.00 suit is on sale for 20%

off.

a) Find the amount of

discount

b) Find the sale price

Section 7.6

68) Victor borrowed $1,000 at 6%

simple interest. How much

money will Victor owe after one

year.

Section 9.2

69) Find the perimeter of the

geometric figure below:

Section 9.3

70) Which of the following has a

greater area?

a) A square with one side

measuring 13 inches

b) A circle with a diameter

of 14 inches?

**CALCULATOR PORTION**

**Directions: **Calculators may be used on the
following problems. However, in order to

receive any partial credit on the final exam, you should show all work and state
how you

are getting your answers. On the final exam, incorrect answers without showing
work

will receive no credit. Always attach the correct units where possible. Reduce
all

fractions to lowest terms.

Section 1.3

70) Bob can’t decide whether to buy a

used Buick or a used Ford. The

Buick costs $3,570 while the Ford

costs $2,750. How much less

expensive is the Ford?

71) What is the perimeter of a

rectangular lawn that measures 22

meters by 9 meters?

Section 1.4

72) For a full-time student, the average

cost for a semester of classes at

MCC is $936.28. Books cost

$419.17 and miscellaneous supplies

cost $287.58. Round the total

amount for the semester to the

nearest dollar.

Section 1.5

73) Find the area of the geometric figure

below:

74) Billy’s car gets 12 miles per gallon

of gasoline. How many miles can

Billy drive on 7 gallons of gasoline?

Section 1.6

75) Eddie needs to paint a fence which

has 10,080 square feet of surface.

One gallon of paint covers 576

square feet. How many whole

gallons of paint will he need?

Section 1.7

76) Perform the indicated operations:

12 + (6 ÷ 3)^{2} ·3 − 2

77) Perform the indicated operations:

12 − 8 ÷ 4 · (5 − 3)^{2}

Section 1.8

78) Translate into an algebraic

Expression. Let x represent

“a number.”

The quotient of twice a number

and thirteen.

Section 2.1

79) Simplify:

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