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.