Worksheet for building words using prefixes and suffixes with root words like "cover," "correct," and "employ."

Problem Overview:

The task involves building new words by combining prefixes, root words, and suffixes. The rules provided are:
1. Prefixes can be added to the beginning of root words.
2. Suffixes can be added to the end of root words.
3. Root words ending in "t" lose the "t" when a suffix beginning with "t" is added.

Given Components:

- Prefixes: `dis`, `un`, `mis`, `under`, `re`
- Root Words: `cover`, `correct`, `employ`, `stand`, `act`
- Suffixes: `able`, `ing`, `ed`, `tion`, `ment`

Solution Approach:

We will systematically combine each prefix with each root word and then add each suffix where applicable. We will also account for the rule about root words ending in "t".

#### Step 1: Combine Prefixes with Root Words
We start by forming new words by adding prefixes to the root words.

1. Cover:
- `dis + cover = discover`
- `un + cover = uncover`
- `mis + cover = miscover` (not a standard English word)
- `under + cover = undercover`
- `re + cover = recover`

2. Correct:
- `dis + correct = discourage`
- `un + correct = uncorrect` (not a standard English word)
- `mis + correct = misconduct`
- `under + correct = undercorrect` (not a standard English word)
- `re + correct = recorrect`

3. Employ:
- `dis + employ = disemploy` (not a standard English word)
- `un + employ = unemploy` (not a standard English word)
- `mis + employ = misemploy`
- `under + employ = underemploy`
- `re + employ = reemploy`

4. Stand:
- `dis + stand = disstand` (not a standard English word)
- `un + stand = unstand` (not a standard English word)
- `mis + stand = misunderstand`
- `under + stand = understand`
- `re + stand = resend`

5. Act:
- `dis + act = disact` (not a standard English word)
- `un + act = unact` (not a standard English word)
- `mis + act = misact`
- `under + act = underact`
- `re + act = react`

#### Step 2: Add Suffixes to the New Words
Next, we add suffixes to the newly formed words, ensuring we follow the rule about root words ending in "t".

1. Discover:
- `discover + able = discoverable`
- `discover + ing = discovering`
- `discover + ed = discovered`
- `discover + tion = discovery`
- `discover + ment = discovery` (redundant)

2. Uncover:
- `uncover + able = uncoverable`
- `uncover + ing = uncovering`
- `uncover + ed = uncovered`
- `uncover + tion = uncovering` (redundant)
- `uncover + ment = uncovering` (redundant)

3. Miscover:
- Not a standard English word, so no valid suffixes.

4. Undercover:
- `undercover + able = undercoverable`
- `undercover + ing = undercovering`
- `undercover + ed = undercoverd`
- `undercover + tion = undercovering` (redundant)
- `undercover + ment = undercovering` (redundant)

5. Recover:
- `recover + able = recoverable`
- `recover + ing = recovering`
- `recover + ed = recovered`
- `recover + tion = recovery`
- `recover + ment = recovery` (redundant)

6. Discourage:
- `discourage + able = discouragable`
- `discourage + ing = discouraging`
- `discourage + ed = discouraged`
- `discourage + tion = discouragement`
- `discourage + ment = discouragement` (redundant)

7. Uncorrect:
- Not a standard English word, so no valid suffixes.

8. Misconduct:
- `misconduct + able = misconductable`
- `misconduct + ing = misconducting`
- `misconduct + ed = misconducted`
- `misconduct + tion = misconduction`
- `misconduct + ment = misconduction` (redundant)

9. Undercorrect:
- Not a standard English word, so no valid suffixes.

10. Recorrect:
- `recorrect + able = recorrectable`
- `recorrect + ing = recorrecting`
- `recorrect + ed = recorrected`
- `recorrect + tion = recorrection`
- `recorrect + ment = recorrection` (redundant)

11. Disemploy:
- Not a standard English word, so no valid suffixes.

12. Unemploy:
- Not a standard English word, so no valid suffixes.

13. Misemploy:
- `misemploy + able = misemployable`
- `misemploy + ing = misemploying`
- `misemploy + ed = misemployed`
- `misemploy + tion = misemployment`
- `misemploy + ment = misemployment` (redundant)

14. Underemploy:
- `underemploy + able = underemployable`
- `underemploy + ing = underemploying`
- `underemploy + ed = underemployed`
- `underemploy + tion = underemployment`
- `underemploy + ment = underemployment` (redundant)

15. Reemploy:
- `reemploy + able = reemployable`
- `reemploy + ing = reemploying`
- `reemploy + ed = reemployed`
- `reemploy + tion = reemployment`
- `reemploy + ment = reemployment` (redundant)

16. Disstand:
- Not a standard English word, so no valid suffixes.

17. Unstand:
- Not a standard English word, so no valid suffixes.

18. Misunderstand:
- `misunderstand + able = misunderstandable`
- `misunderstand + ing = misunderstanding`
- `misunderstand + ed = misunderstood`
- `misunderstand + tion = misunderstanding` (redundant)
- `misunderstand + ment = misunderstanding` (redundant)

19. Understand:
- `understand + able = understandable`
- `understand + ing = understanding`
- `understand + ed = understood`
- `understand + tion = understanding` (redundant)
- `understand + ment = understanding` (redundant)

20. Resend:
- `resend + able = resendable`
- `resend + ing = resending`
- `resend + ed = resendd`
- `resend + tion = resendding` (not standard)
- `resend + ment = resendding` (not standard)

21. Disact:
- Not a standard English word, so no valid suffixes.

22. Unact:
- Not a standard English word, so no valid suffixes.

23. Misact:
- `misact + able = misactable`
- `misact + ing = misacting`
- `misact + ed = misacted`
- `misact + tion = misaction`
- `misact + ment = misaction` (redundant)

24. Underact:
- `underact + able = underactable`
- `underact + ing = underacting`
- `underact + ed = underacted`
- `underact + tion = underaction`
- `underact + ment = underaction` (redundant)

25. React:
- `react + able = reactable`
- `react + ing = reacting`
- `react + ed = reacted`
- `react + tion = reaction`
- `react + ment = reaction` (redundant)

Final List of Valid Words:

After filtering out non-standard or redundant words, the valid words are:

1. Discover: discoverable, discovering, discovered, discovery
2. Uncover: uncoverable, uncovering, uncovered
3. Undercover: undercoverable, undercovering, undercoverd
4. Recover: recoverable, recovering, recovered, recovery
5. Discourage: discouragable, discouraging, discouraged, discouragement
6. Misconduct: misconductable, misconducting, misconducted, misconduction
7. Recorrect: recorrectable, recorrecting, recorrected, recorrection
8. Misemploy: misemployable, misemploying, misemployed, misemployment
9. Underemploy: underemployable, underemploying, underemployed, underemployment
10. Reemploy: reemployable, reemploying, reemployed, reemployment
11. Misunderstand: misunderstandable, misunderstanding, misunderstood
12. Understand: understandable, understanding, understood
13. Misact: misactable, misacting, misacted, misaction
14. Underact: underactable, underacting, underacted, underaction
15. React: reactable, reacting, reacted, reaction

Total Number of Valid Words:

There are 35 valid words in total.

Final Answer:

\boxed{35}