This worksheet offers eight algebra problems focused on simplifying linear expressions through distribution and combining like terms.

I'll solve each algebraic expression step by step, combining like terms carefully.

Problem 1: x - 3 + 4x - 8
- Combine x terms: x + 4x = 5x
- Combine constants: -3 - 8 = -11
- Result: 5x - 11

Problem 2: 2(3a + 4) + 5(2 - 5a)
- Distribute: 6a + 8 + 10 - 25a
- Combine a terms: 6a - 25a = -19a
- Combine constants: 8 + 10 = 18
- Result: -19a + 18

Problem 3: 6p + 7 - 11 - 9p + 1 - p
- Combine p terms: 6p - 9p - p = -4p
- Combine constants: 7 - 11 + 1 = -3
- Result: -4p - 3

Problem 4: 10 + m - 2m - 3 + 4m
- Combine m terms: m - 2m + 4m = 3m
- Combine constants: 10 - 3 = 7
- Result: 3m + 7

Problem 5: 3(k + 5) - 9k - 16
- Distribute: 3k + 15 - 9k - 16
- Combine k terms: 3k - 9k = -6k
- Combine constants: 15 - 16 = -1
- Result: -6k - 1

Problem 6: 14 + 7(3 - b) + 8b
- Distribute: 14 + 21 - 7b + 8b
- Combine b terms: -7b + 8b = b
- Combine constants: 14 + 21 = 35
- Result: b + 35

Problem 7: 4(y - 6) - 2(3 + 2y) + 5(y - 1)
- Distribute: 4y - 24 - 6 - 4y + 5y - 5
- Combine y terms: 4y - 4y + 5y = 5y
- Combine constants: -24 - 6 - 5 = -35
- Result: 5y - 35

Problem 8: 3u + 6 - 4 - u + 2 + 7u
- Combine u terms: 3u - u + 7u = 9u
- Combine constants: 6 - 4 + 2 = 4
- Result: 9u + 4

Final Answer:
1) 5x - 11
2) -19a + 18
3) -4p - 3
4) 3m + 7
5) -6k - 1
6) b + 35
7) 5y - 35
8) 9u + 4