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Math 121 Test 1, October 5, 2004, Exams of Algebra

La Sierra UniversityAlgebra

The instructions and problems for a math 121 university exam held on october 5, 2004. The exam covers various topics in mathematics including complex numbers, linear equations, quadratic equations, radical equations, and inequalities. Students are required to solve each problem and show all appropriate details in their solutions. Part i of the exam consists of eight problems worth 5 points each, and calculators are not allowed. Part ii of the exam consists of four problems worth 5 points each, and students may use calculators to compute numbers.

Typology: Exams

Pre 2010

Uploaded on 08/16/2009

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Math 121, Test 1, October 5, 2004
Name:
Instructions. Part I: Do each of the following 8problems. Each problem is worth 5pts. Show
all appropriate details in your solutions. Calculators are not allowed. Good Luck! When you
turn this in, please pick up Part II which has 4problems.
1. Write the complex number −1+2i
4−3iin standard form.
2. Solve the linear equation 5(x−4) −7 = −2(x−3).
3. Solve the equation A=1
2h(b1+b2) for b1.
4. Solve the equation 3x2= 5x−3.
pf3

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Math 121, Test 1, October 5, 2004

Name:

Instructions. Part I: Do each of the following 8 problems. Each problem is worth 5pts. Show all appropriate details in your solutions. Calculators are not allowed. Good Luck! When you turn this in, please pick up Part II which has 4 problems.

  1. Write the complex number

−1 + 2i 4 − 3 i

in standard form.

  1. Solve the linear equation 5(x − 4) − 7 = −2(x − 3).
  2. Solve the equation A = 12 h(b 1 + b 2 ) for b 1.
  3. Solve the equation 3x^2 = 5x − 3.
  1. Solve the equation x^3 − 2 x^2 − x + 2 = 0 by factoring (hint: first use the method of factoring by grouping).
  2. Solve the radical equation

3 x − 5 −

x + 2 = 1. Check all proposed solutions.

  1. Solve the inequality

−x x + 6

≤ 2 and write the answer in interval notation.

  1. Solve the inequality | 4 − 5 x| > 24; write the answer in interval notation.