Problem Set 1

  1. Simplifying Expressions. a) 8x^2+2x+3 b) 12x^4y c) x d) x^4 e) \frac{2xy^2}{3z^2}
  2. Equivalent Expressions. a)
  3. Number Vocabulary. a) rational b) integers c) irrational d) natural numbers, positive integers e) real f) rational
  4. Substitution. a) 1/3 b) 1 c) -9
  5. Polynomials. a) 7x^3+14x^2 b) 27x^3-54x^2+36x-8 c) x^5-7x^4+4x^3-42x^2+44x+7
  6. Setting Up Equations. a) P=I-E b) E=1000+30m c) I=75m d) P=45m-1000
  7. Factors and The Distributive Property. a) 21x^2+35x b) i) 2x ii) 2x iii) 2x c) i) 2 ii) 5x iii) 6 iv) 2(5x+6)
  8. Investigation of Polynomials. a) i) x^2-16 ii) 9x^2-25 iii) a^2x^2-b^2 b) i) w ii) r iii) t
  9. Product and Substitution. a) 2x^3-7x^2-5x+4 b) i) 0 ii) 0 iii) 0 c) x=3 or x=-5
  10. Pens. a) 3x b) 1.5x c) 15+1.95x d) 132
  11. Types Of Equation 2. d) Conditional Equation e) Not an Equation f) Identity
  12. Repeating Decimals 1. a) 10x, 3, 3 b)10x, 3, 3 c) 9x, 3 d) \frac{3}{9}, \frac{1}{3} e) \frac{5}{9}
  13. Repeating Decimals To Fractions 1.

    9/9

    45/9

  14. Operating on Both Sides.

    a) +2, +2

    b)

    +5 +5

    /2 /2

    c)

    +2 +2

    *2 *2

  15. Finding x I. a) 5/3 b) 3/5 c) 5/3 d) 15
  16. Finding x II. a) 15/4 b) 8 c) 95/25 d) -1/2
  17. Finding x III. a) 8 b) 31 c) 52/3
  18. Finding x IV. a) 1 b) 6 c) -1