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19 Questions to Solve the Equations - Exam 3 | MAT 105, Exams of Algebra

Murray State UniversityAlgebra
Prof. Leslie W. Alverson

Material Type: Exam; Professor: Alverson; Class: Intermediate Algebra; Subject: MAT Mathematics; University: Murray State University; Term: Fall 2002;

Typology: Exams

2009/2010

Uploaded on 02/24/2010

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Exam 3
MAT 105-01B Name:
Alverson
Fall 2002
Sections 6.1 - 8.6
Read each question carefully. Please show ALL your work. You may NOT use a calculator!! Partial credit
will be given. Good luck.
Perform the indicated operation and simplify (6 points each).
1. (√3−i)(√3 + i)
Answer:
2. (4 + i)2
Answer:
3. (6 −5i)−(1 + i)
Answer:
Solve each of the following equations (6 points each).
4. 7x−2 = 4x+ 10
Answer:
5. x+ 5
2+x
5= 10
Answer:
6. 3(x+ 1) + x= 2(3x−2) + 5
Answer:
1
pf3
pf4

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Download 19 Questions to Solve the Equations - Exam 3 | MAT 105 and more Exams Algebra in PDF only on Docsity!

Exam 3

MAT 105-01B Name: Alverson Fall 2002 Sections 6.1 - 8. Read each question carefully. Please show ALL your work. You may NOT use a calculator!! Partial credit will be given. Good luck. Perform the indicated operation and simplify (6 points each).

  1. (√ 3 − i)(√3 + i) Answer:
  2. (4 + i)^2 Answer:
  3. (6 − 5 i) − (1 + i) Answer:

Solve each of the following equations (6 points each).

  1. 7x − 2 = 4x + 10 Answer:
  2. x^ + 5 2 + x 5 = 10 Answer:
  3. 3(x + 1) + x = 2(3x − 2) + 5 Answer:

Solve each of the following quadratic equations by factoring (6 points each).

  1. x^2 + 3x − 10 = 0 Answer:
  2. 11x^2 = 45x − 4 Answer:
  3. x^2 + 6x + 9 = 0 Answer:

Solve each of the following quadratic equations by completing the square (6 points each).

  1. x^2 − 6 x + 10 = 0 Answer:
  2. x^2 − 14 x + 9 = 0 Answer:
  1. √ 5 x − 1 = x + 1 Answer:
  2. (x − 2)^2 − 9 = 0 Answer:

Bonus (4 points) Solve the following equations for x. All other letters represent positive real numbers.

  1. ax^2 + bx + c = 0 Answer:
  2. a^ + 3 x= azb Answer: