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Final Exam Review for Pre Algebra | MAT 0012, Exams of Algebra

State College of Florida, Manatee-Sarasota (SCF)Algebra

Material Type: Exam; Class: Prealgebra; Subject: MAT, Mathematics; University: Manatee Community College; Term: Unknown 1989;

Typology: Exams

Pre 2010

Uploaded on 08/19/2009

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1
MAT 0012 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 823,097,42 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: 43748,3 ×
8) Find the area of a rectangular
garden with a length of 42 feet
and width of 37 feet.
Section 1.6
9) Divide: 145684 ÷
10) Divide: 801753,73 ÷
Section 1.7
11) 32 )25()79(4 −+−
12) 52 12510 −×÷
Section 1.8
13) Evaluate y
x12 −
when 5
=
x and 3=y
14) Evaluate xyx 73
+
when 2
=
x
and 4
=
y
Section 2.1
For numbers 14 and 15, Insert >, < or =
between each pair of numbers to make a
true statement.
15) a) 42____42−
b) 12____)12( −−−
16) a) 6____6 −−
b) 8____)8( −−
Section 2.2
17) )7(245
−
+
+
−
18) )7(17)23(8 −+
+
−
+
−
pf3
pf4
pf5
pf8
pf9
pfa

Partial preview of the text

Download Final Exam Review for Pre Algebra | MAT 0012 and more Exams Algebra in PDF only on Docsity!

MAT 0012 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.

  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.

  1. Add: 25,735+1,946+349+
  2. Subtract: 76,437-8,

Section 1.

  1. Round 43,874 to the nearest thousand
  2. Round 231,568,672 to the nearest million

Section 1.

  1. Multiply: 3 , 748 × 43
  2. Find the area of a rectangular garden with a length of 42 feet and width of 37 feet.

Section 1.

  1. Divide: 5684 ÷ 14
  2. Divide: 73 , 753 ÷ 801

Section 1.

11) 4 2 ( 9 − 7 )+( 5 − 2 )^3

12) 102 ÷ 5 × 2 − 15

Section 1.

  1. Evaluate y

2 x − 1

when x = 5 and y = 3

  1. Evaluate 3 x + 7 xy when x = 2 and y = 4

Section 2.

For numbers 14 and 15, Insert >, < or = between each pair of numbers to make a true statement.

  1. a) − 42 ____ 42 b) −( − 12 )____− 12
  2. a) − 6 ____− 6 b) ( − 8 )____− 8

Section 2.

  1. − 5 + 24 +(− 7 )
  2. − 8 +(− 23 )+ 17 +(− 7 )

Section 2.

  1. − 2 −(− 12 )+ 3 − 7
  2. 8 +(− 5 )− 4 −(− 14 )

Section 2.

  1. − 12 ( − 35 )

22) −^360 ÷^6

Section 2.

  1. Simplify: ( 7 − 11 )^2 ÷( 2 − 4 )^2
  2. Evaluate x^2 + 3 x − 1 when x =− 2

Section 2.

  1. Solve and check your solution: y + 7 = 2
  2. Solve and check your solution: − 9 x = 81

Section 3.

  1. Simplify the following by combining like terms: 3 x − ( 5 x + 3 )+ 4
  2. Simplify the following by combining like terms: − ( 5 x + 3 )− 2 ( x − 5 )+ 13

Section 3.

  1. Solve for x : 5 x + 30 − 4 x − 28 = 10
  2. Solve for x : 12 x + 10 = 11 ( x − 1 )

Section 3.

  1. Solve for x : 5 x + 1 = 2 ( 3 x − 5 )
  2. Solve for x : 2 − 3 ( 5 x + 2 )= 2 ( 3 − 5 x )

Section 3.

  1. 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. 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.

  1. Simplify the fraction: 35
  1. Find the prime factorization of
  1. Write in exponential form.

Section 4.

  1. Multiply. Write the product in

simplest form. 42

  1. Divide. Write the quotient in

simplest form. 21

÷

Section 4.

  1. Add and simplify: 14

Section 4.

  1. Add: 3
  1. Subtract: 4

12 cm

6 cm

16 cm

8 cm

Section 6.

  1. 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.

  1. Evaluate 64

  2. Evaluate 144

Section 7.

  1. Write 1.4% as a decimal
  2. Write 8.32 as a percent

Section 7.

  1. Solve: What is 20% of 60?

  2. Solve: 46 is what percent of 50? Section 7.

  3. Set up a proportion and solve: What percent of 500 is 125?

Section 7.

  1. From 2005 to 2008, the value of a house decreased from $270, to $195,000. Find the percent decrease of the price of the house. Round answer to the nearest tenth of a percent.

Section 7.

  1. A $350.00 suit is on sale for 20% off. a) Find the amount of discount b) Find the sale price Section 7.

  2. Victor borrowed $1,000 at 6% simple interest. How much money will Victor owe after one year.

Section 9.

  1. Find the perimeter of the geometric figure below:

Section 9.

  1. 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.

  1. 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?

  2. What is the perimeter of a rectangular lawn that measures 22 meters by 9 meters?

Section 1.

  1. 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.

  1. Find the area of the geometric figure below:

  2. Billy’s car gets 12 miles per gallon of gasoline. How many miles can Billy drive on 7 gallons of gasoline?

Section 1.

  1. 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.

  1. Perform the indicated operations: 12 +( 6 ÷ 3 )^2 ⋅ 3 − 2

  2. Perform the indicated operations: 12 − 8 ÷ 4 ⋅( 5 − 3 )^2

Section 1.

  1. Translate into an algebraic Expression. Let x represent “a number.” The quotient of twice a number and thirteen.

Section 2.

  1. Simplify: −− 21

  2. Simplify: −(− 15 )

Section 2.

  1. Evaluate the expression if x =− 2 and y = 0 : 3 x^2 + 5 y

12 cm

8 cm 6 cm

16 cm

Section 4.

  1. Subtract and write solution as a mixed number:

Section 4.

  1. Solve for x : 10

x = −

Section 5.

  1. Write 0.875 as a fraction in lowest terms.

Section 5.

  1. Simplify the following by combining like terms: 0. 3 x − 1. 7 y + 9. 2 x + 0. 8 y

Section 5.

  1. Find the circumference of the following circle. a) Give the exact answer (in terms of π ). b) Approximate the circumference

by using π≈ 3. 14.

Section 5.

  1. Divide 68 by 0.

Section 5.

  1. Write 5

7 as a decimal.

  1. Make the statement true by inserting

or < between the numbers:

0. 37 _____

Section 5.

  1. Solve for x : − 5 x = 12. 245

Section 5.

  1. Helen’s test scores are 51, 97, 88, 85, 71 and 80. What is Helen’s average (mean) test score? (Round to the nearest tenth)

Section 6.

  1. Which is the better buy?

a) A 24 oz. jar of jelly for $3. b) A 16 oz. jar of jelly for $2.

  1. Jack’s Donuts-R-Us sells a dozen glazed donuts for $1.92. Herbert’s Donut Heaven sells six glazed donuts for $1.14. Find the unit price for a donut at each shop and state which shop is cheaper.

Section 6.

  1. Solve for x :
  1. 5 198

11 x

Section 6.

  1. On an architect’s blueprint, 1 inch corresponds to 8 feet. Find the length of a wall represented by a

line that is 4

5 inches on the

blueprint.

Section 6.

  1. Use the Pythagorean theorem ( a^2 + b^2 = c^2 ) to find the missing side of the following right triangle. Round your answer to the nearest thousandth.

Section 7.

  1. Translate into an equation and solve: 24 is what percent of 120?

Section 7.

  1. Write as a proportion and solve: 234.5 is 35% of what number?

Section 7.

  1. The value of a diamond increases by the same amount each year. If the value increases by $600 in 4 years, then how much does the value of the diamond increase in value per year?

Section 7.

  1. Larry earns 25% commission on his sales per month. If Larry sells $6,500 worth of merchandise in one month, how much does he earn?

  2. Maryland has a sales tax of 6%. Delaware has no sales tax at all. Would it be cheaper to buy a sweater for $79 in Maryland or $84 in Delaware?

Section 7.

  1. Robert invests $3,850 into an

account that pays % 2

12 simple

interest. How much interest will he earn after 2 years?

Section 9.

  1. Find the exact circumference of the following circle:

Section 9.

  1. Find the exact area of the following circle

(ie; leave answer in terms of π ).

3 in

6 in

  1. a) 25

b) 25

  1. y = 28
  1. x = 8
  2. Four and sixty-five hundredths

  1. x = 293

  2. 81.8 ≈ 82%

  3. a) 6

b) 5

  1. 1000 males

  2. n = 1.

  3. 450 km

  4. 8

12

  1. a) $70.00 b) $280.
  2. $1,060.
  3. 48 cm
  4. The square has a larger area

End of non-calculator portion.

Beginning of calculator portion:

  1. $

  2. 62 meters

  3. $1,

  4. 120 cm^2 or 120 square centimeters

  5. 84 gallons

  6. 17.5 → he needs 18 gallons of paint because he can’t buy half- gallons

  7. 22

  8. 4

2 x

  1. x =− 9
  2. − 2 x − 28
  3. x = 14
  4. x =− 12

  1. 2 x − 7 =− 5 ; x = 1

  2. Not equivalent

  3. 40 chickens

  4. 35 students

7

miles = 7

1 miles

2 y x + or 3

3 x + 2 y

x or 10

2 x + 5 x

x = −

    1. 5 x − 0. 9 y

102) a) 8 π in. b) 25.12 in.

  1. a
  2. Jack’s
  3. x = 132
  4. 42 feet
  5. 5.196 inches
  6. x =. 20 or 20%
  7. x = 670
  8. $150.
  9. $1,625.
  10. MD is cheaper
  11. $962.

119) C=12 π feet

120) A = 36 π square feet

  1. A = 12. 685 square cm.
  2. V^ =^27 cubic inches