MATH 1090 Algebra and Trigonometry
Problem Set 1 - Questions

1. List all numbers from the following set that are
   1. natural numbers
   2. whole numbers
   3. integers
   4. rational numbers
   5. irrational numbers
   6. real numbers
   

2. Rewrite each expression without absolute value bars.
   1. | 2 - p |
   2. for each of   x = -5   and   x = +5

3. Simplify the algebraic expression   3(4x + y) - 5(2x - y)

4. Simplify the algebraic expression  

5. The Earth is 1.5×10¹¹ metres away from the Sun, on average, (to a good approximation).   Light travels 3×10⁸ metres per second, (to a good approximation).   How many seconds does it take light to travel from the Sun to the Earth?

6. Rationalize the denominator in  

7. Factor, where possible, the following trinomials
   1.     4 x² + 16 x + 15
   2.     4 x² + 16 x + 16
   3.     4 x² + 16 x + 17

8. Factor and simplify the algebraic expression   (x + 4)^-1/2 - (x + 4)^-3/2

Also:   Try the questions from exercise sets P.1 to P.5 of the textbook.

[Index of Questions]

[Problem Set & Quiz Solutions]