Problem Set 2

  1. Exponents. a) 81x^8 b) -x^3y c) 3x^{\frac{1}{2}} d) 18xy e) -x^2y
  2. Pythagorean Triples 1. From left to right a) 2, 1 b) 3, 4, 5 c) 3, 4, 25, 5, 25, yes
  3. Pythagorean Triples 2. a)

    (m^2-n^2)(m^2-n^2)

    (2mn)^2

    b) m^4+2m^2n^2+n^4 ____ m^4+2m^2n^2+n^4

    c) yes

  4. 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}

  5. Repeating Decimals To Fractions1.

    9/9

    45/9

  6. Temperature.

    a) 0 __ 32

    b) 100 __ 212

    c) (0,32) __ (100,212)

    d) \frac{18}{10}

    e) y=\frac{18}{10}x+32

    f) 98.4

  7. Solve For x. 3
  8. New York, New York.

    a) 11th, 32nd

    b) 1st, 30th

    c) -\frac{1}{5}

    d) x+5y=149

  9. New York, New York 2.

    a) (-6,31)

    b) y=5x+61

    c) 41

    d) Grand Central Terminal

  10. Parallel And Perpendicular 2. a) y=\frac{3}{4}x-4 b) y=-\frac{4}{3}x+21
  11. Find the Distance. a) 13.892 b) 1.803 c) 5.385
  12. Points on Lines? a) yes b) no c) yes
  13. Slopes and Intercepts. a) y=-x-1 b) y=3 c) y=x+5 d) y=-\frac{1}{3}x+3
  14. Connecting Two Points. a) 0 b) y=2
  15. Parallel and Perpendicular Slopes. a) 2 b) 2 c) -1/2
  16. Points and Slopes. a) y=-\frac{1}{2}x+4 b) y=2x+1
  17. One Line, Three Ways. a) y=4x+6 b) 4x-y=-6
  18. Factor Completely II. a) 23(x-2) b) 5x(x+5) c) x(4y+1) d) x(z+b)
  19. Factor Completely II. a) x\left(x^2+x+1\right) b) x^4(4x+3) c) (12x^2+3x+1)