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Cumulative Review Sample Final Exam: Mathematics Problems - Prof. John Redden, Exams of Algebra

College of the Sequoias (COS)Algebra
Prof. John Redden

A sample final exam for chapters 5-7 in mathematics, consisting of various problems on simplification, subtraction, multiplication, division, factoring, and solving equations. Students are required to answer all questions and show their work.

Typology: Exams

Pre 2010

Uploaded on 08/18/2009

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koofers-user-law ๐Ÿ‡บ๐Ÿ‡ธ

10 documents

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Chapters 5 โ€“ 7 _ Cumulative Review
Sample Final Exam
Please answer all the questions and show work where appropriate.
1. Simplify: 053
32
125
5
zyx
zyx
โˆ’
โˆ’โˆ’
โˆ’
2. Simplify:
2
5
43
6
2โˆ’
โˆ’
โˆ’
โŽŸ
โŽŸ
โŽ 
โŽž
โŽœ
โŽœ
โŽ
โŽ›
yx
yx
3. Subtract: )1053()532( 22 โˆ’+โˆ’+โˆ’ xxxx
4. Multiply: )952)(33( 2+โˆ’โˆ’ xxx
5. Divide: )13()1166116( 234 โˆ’รท+โˆ’+โˆ’ xxxxx
6. Factor: 81
4โˆ’x
7. Factor: 3284 235 โˆ’+โˆ’ xxx
8. Solve: )13(2)2)(62(
+
=
โˆ’
โˆ’xxx
9. Find a quadratic equation, with integer coefficients, that has solutions }5,{ 3
1
โˆ’.
10. The base of a triangle is 3 cm less than twice its height. If the area is 10 cm2 find
the length of the base.
11. Find the x and y - intercepts of 5143)( 2โˆ’+= xxxf
pf3

Partial preview of the text

Download Cumulative Review Sample Final Exam: Mathematics Problems - Prof. John Redden and more Exams Algebra in PDF only on Docsity!

Sample Final Exam

Please answer all the questions and show work where appropriate.

  1. Simplify: (^350)

2 3 125

x y z

x y z โˆ’

  1. Simplify:

2 5

3 4 6

โˆ’

โˆ’ โŽŸโŽŸโŽ 

x y

x y

  1. Subtract: ( 2 x^2 โˆ’ 3 x + 5 )โˆ’( 3 x^2 + 5 x โˆ’ 10 )
  2. Multiply: ( 3 x โˆ’ 3 )( 2 x^2 โˆ’ 5 x + 9 )
  3. Divide: ( 6 x^4 โˆ’ 11 x^3 + 6 x^2 โˆ’ 16 x + 1 )รท( 3 x โˆ’ 1 )
  4. Factor: x^4 โˆ’ 81
  5. Factor: x^5 โˆ’ 4 x^3 + 8 x^2 โˆ’ 32
  6. Solve: ( 2 x โˆ’ 6 )( x โˆ’ 2 )= 2 ( x + 13 )
  7. Find a quadratic equation, with integer coefficients, that has solutions { โˆ’ 13 , 5 }.
  8. The base of a triangle is 3 cm less than twice its height. If the area is 10 cm^2 find the length of the base.
  9. Find the x and y - intercepts of f ( x )= 3 x^2 + 14 x โˆ’ 5

Sample Final Exam Page 2

  1. Subtract: x โˆ’ x

2

  1. Subtract: 2

โˆ’^ +

x x

x x

x

  1. Simplify: 2

2 4 3

3 5 1

x x

x x โˆ’ +

  1. Divide: 10 25

2

2 2

2 โˆ’ +

รท^ โˆ’

x x

x x x

x x

  1. Solve: 2 1

โˆ’ x x x

x x

  1. Solve for a : a b c
  1. An office utilizes two printers an old one and a new one. The older printer takes twice as long to print than the new one. Using them together to print a certain job it takes 10 minutes. How long would it take the old printer working alone to print the same job?
  2. One number is 4 less than the other. When the reciprocal of the smaller is subtracted from the reciprocal of the larger the difference is โˆ’ 81. Find the two numbers.
  3. Given the graph of f ( x )= โˆ’ 16 x^2 + 96 x + 256 : a. At what point in the domain does the graph attain its maximum? b. What is the maximum? c. Find the y-intercept. x

y

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