Term Tiles & Math Class Languages & Write #24 Answers
5/22/04, A. Azzolino, www.mathnstuff.com/math/algebra/write24.txt


REPRESSION
This is stupid.
I can do this in my head, why should I bother to use these things!
  1. Show me a rectangle of 3 square units. Double this area.
  2. Show me a rectangle of 3 square units. Square this area.
  3. Show me a rectangle of 3 square units. Take the opposite of this area.
  4. Show me a rectangle of - 3 square units. Take the opposite of this area.
REPRESENTATION
Write the code and the algebraic expression or equation or statement for each.
  1. three
  2. three, different from the first answer
  3. zero
  4. zero in another way
  5. a number
  6. three less than a number
  7. double the value of three less than a number
  8. the opposite of three less than a number
  9. the opposite of the sum of a number and two
  10. the product of 3 and the sum of 4 and a number
  11. double the sum of a number and five
  12. four less than the sum of a number and six
  13. an integer
  14. an odd integer
  15. the next odd integer after the odd integer in #18
  16. the sum of two consecutive odd integers
  17. The sum of two consecutive odd integers is eight.
  18. The sum of three consecutive odd integers is one more than triple the middle integer.
    22b. The sum of three consecutive odd integers is triple the middle integer.
  19. double the value of three less than a number (See #11.)
OPERATION
  1. Add 4 and 1.
  2. Add -3 and 2.
  3. Add -3 and -4.
  4. Add (2x + 4) and ( -x + 2).
  5. Subtract 2 from 4 by "add the opposite."
  6. Subtract 2 from 4 by "take away."
  7. Subtract 4 from 2 by "add the opposite."
  8. Subtract 4 from 2 by "take away."
  9. Subtract (2x + 4) from ( -x + 2) by "add the opposite."
  10. Subtract (2x + 4) from ( -x + 2) by "take away."
  11. Multiply 3 and a number.
  12. Multiply 3 and a the opposite of a number.
  13. Multiply - 3 and a the opposite of a number.
  14. Multiply 4 and the sum of a number and three
  15. Multiply (x + 1) (x + 3).
  16. Multiply (x + 1) (x - 3)
  17. Divide x2 + 2x - 3 by x + 3
  18. Divide x2 + 2x - 4 by x + 3
  19. Solve: One more than a number is the same as double the number.
  20. Solve: 2x + 4 = x - 1
  21. Solve: -x = 2
  22. Solve: x + 1 = 2x
  23. Solve: Double the sum of a number and one is equal to five less than double the number.
  24. Solve: Double the sum of a number and one is greater than six.
  25. Solve: The sum of two consecutive odd integers is eight.
CREATION
  1. Create & solve a word problem involving integers.
  2. Make a poster about opposites in arithmetic and algebra.
INTERPRETATION
  1. Decide who should speak this language before writing symbols.
  2. Explain the product of the sum and difference of two numbers.
  3. Pretend you phone an abscent friend. Explain the answers to #18 and #19.