• Convert each of the following expressions into Scheme:

    1. 4 + 6 + 7

    2. 5 * (5 + 9)

    3. (4 + 9) * (8 - 7)

    4. ((a * a) + (b * b)) / 2

  • Convert the following function definitions into Scheme:

    1. square(x) = x * x

    2. avg(x, y) = (x + y) / 2

    3. celc->fahr(deg) = 9/5 * deg + 32

  • Evaluate each of the following expressions. Show every step. For example: 
      (sqrt (+ (* 3 3) (* 4 4)))
= (sqrt (+ 9 (* 4 4)))
= (sqrt (+ 9 16))
= (sqrt 25)
= 5

    1. (- (* 3 5) 20)

    2. (/ 44 (+ 8 3))

    3. (sqrt (square 6))

    4. (avg 6 10)

    5. (celc->fahr 100)