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Practice Quiz on Complex Numbers - College Algebra | MATH 121, Quizzes of Algebra

La Sierra UniversityAlgebra

Material Type: Quiz; Class: COLLEGE ALGEBRA; Subject: MATHEMATICS; University: La Sierra University; Term: Unknown 1989;

Typology: Quizzes

Pre 2010

Uploaded on 08/18/2009

koofers-user-38x
koofers-user-38x 🇺🇸

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Math 121, Practice Quiz on Chapter 1 and Complex Numbers
1. (a) Simplify (3 −2i)(4 + i) and write the complex number in standard form.
(b) Write the complex number 3−2i
4+5iin standard form.
2. (a) Solve the equation 2x+ 5
3x−1= 1.
(b) Solve 3|x−d|=cwhere c > 0.
3. An investment of $2500 is made at an annual simple interest rate of 5.5%. How much
additional money must be invested at an annual simple interest rate of 8% so that the total
interest earned is 7% of the total investment?
4. Solve the equation 2x2+ 3x= 4 using the algebraic method of your choice.
5. A gardener wishes to use 600 feet of fencing to enclose a rectangular region and subdivide
the region into two smaller rectangles. The total enclosed area is 15,000 square feet. Find the
dimensions of the enclosed area.
pf2

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Download Practice Quiz on Complex Numbers - College Algebra | MATH 121 and more Quizzes Algebra in PDF only on Docsity!

Math 121, Practice Quiz on Chapter 1 and Complex Numbers

  1. (a) Simplify (3 − 2 i)(4 + i) and write the complex number in standard form.

(b) Write the complex number

3 − 2 i 4 + 5i

in standard form.

  1. (a) Solve the equation

2 x + 5 3 x − 1

(b) Solve 3|x − d| = c where c > 0.

  1. An investment of $2500 is made at an annual simple interest rate of 5.5%. How much additional money must be invested at an annual simple interest rate of 8% so that the total interest earned is 7% of the total investment?
  2. Solve the equation 2x^2 + 3x = 4 using the algebraic method of your choice.
  3. A gardener wishes to use 600 feet of fencing to enclose a rectangular region and subdivide the region into two smaller rectangles. The total enclosed area is 15,000 square feet. Find the dimensions of the enclosed area.

6 Solve the radical equation

x + 1 −

2 x − 5 = 1. Check all proposed solutions.

  1. Solve the equation x

(^23)

  • 6x

(^13) = −8.

  1. Suppose the final test in a class is worth 30 percent of the overall grade. A student has an average of 92% going into the final. What percentage is needed on the final test for the student to finish with an overall average between 75% and 85%?
  2. Solve the inequality

x + 1 x − 2

≤ 2 and write the answer in interval notation.

  1. The maximum load that a cylindrical column of circular cross section can support varies directly as the fourth power of diameter and inversely as the square of its height. If a column 2 feet in diameter and 10 feet high supports upto 6 tons, how much can a column 3 feet in diameter and 14 feet high support?