A working knowledge of the words more, less, sum, product, double, triple,
zero, and opposite is necessary for work on this and its related practice pages. For a review of zero
and opposite see
"The Opposite and "Zero" and "'Zero In' and 'Zero Out' to Simplify".
For review of the other words see
MATH SPOKEN HERE!  an arithmetic and algebra dictionary.
It is the teacher's job to determine what work is to be done manipulatively,
mentally, or with paper and pencil (either in a computational way or for record keeping and debriefing).
Because Term Tiles may be used from early primary through remedial college or adult basic education,
the examples are representative of many levels of sophistication and need. Some times slightly different
versions of the same questions are presented as examples of different wordings or tasks.
While writing this page, I, Agnes, began a discussion with myself on whether
the answer key should contain all the answers or just some of the answers. The teacher in me won over
the author in me  all answers are included below. Additional comments are also included.
The reader is reminded that mental computation should be encouraged. For
the student who chooses to work mentally and gets the wrong answer, explain that Term Tiles are a way
for an outsider /the teacher / you to view of what is going on in the student's head and that may be
very desirable. For the student who chooses to work mentally and gets the right answer, permit her that
freedom or use the higher order skill and ask that she justify her answer.
Exercises, Set A. CONSTANTS ONLY.
 
 Ex. 1  6: Represent.
 1. three
 2. six
 3. negative three
 4. zero
 5. zero in another way
 6. three in a way not already used
  Ex. 7  12: Represent and simplify.
 7. three more than two
 8. three less two
 9. three decreased by two
 10. triple the value of 3 decreased by 2
 11. double five
 12. double the sum of two and one

 Ex. 13  16: Write an expression.
 13. for the figure below.
 14. different but equivalent from that of ex. 13.
 15. equivalent to ex. 13, but which includes the word "sum."
 16. for the figure below.

 Ex. 17  18: Prepare to explain out loud
 17. how to simplify the given expression.
 18. a starting expression, what was done, the final expression for the work below.

 19. Show tile techniques to explain how to represent then simplify ex. 10.
 20. What is the most idea you learned today? Explain the idea.
 Ex. 21  24: Evaluate.
 21. the sum of 3, 3, 5, 4, and 1
 22. double the sum of 2 and 5
 23. triple the sum of 2 and 5
 24. the figure below.
Ex. 1  15.
Ex. 16  18.
Ex. 19  20.
Ex. 21  24.
 1. What idea is represented here. Use a name other than "x" or "eks."

 Ex. 2  24. Represent with Term Tiles and simplify if possible then write in symbols
and simplify if possible.
 2. a number
 3. three more than a number
 4. three less than a number
 5. three decreased by a number
 6. a number decreased by three
 7. four decreased by a number
 8. four increased by a number
 9. a number decreased by four
 10. double the sum of a number and three
 11. one less than double the sum of a number and three
 12. three less than one more than a number
 13. four more than double a number
 14. the sum of four and double a number
 15. four less than five
 16. five less than four
 17. four less than a number
 18. the opposite of a number
 19. triple a number
 20. triple the sum of a number and two
 21. four times the sum of a number and 3
 22. the result when a number is doubled, increased 2, then decreased 3
 23. four less than double a number
 24. five more than double the sum of a number and one
 25. Which is greater x + 3 or x + 4 or state "you can't tell." Explain your answer.
 26. Which is greater 3x or 4x or state "you can't tell." Explain your answer.
Ex. 1  6.
Ex. 7  10.
Ex. 11  14.
Ex. 15  20.
Ex. 21  22.
Ex. 23  25.
Ex. 26.
