To solve this task, we need to simplify each algebraic expression and match it with the correct letter based on the simplified result. Let's go through each one step by step:
1.
Expression 1: -3M + M + 5
- Combine like terms: -3M + M = -2M
- So, the expression simplifies to: -2M + 5
- Match with the letter: J (since J corresponds to -2M + 5)
2.
Expression 2: -6(M - 12)
- Distribute -6: -6 * M = -6M, -6 * -12 = 72
- So, the expression simplifies to: -6M + 72
- Match with the letter: H (since H corresponds to -6M + 72)
3.
Expression 3: -3m - 12
- This expression is already simplified.
- Match with the letter: F (since F corresponds to -3m - 12)
4.
Expression 4: 6(2M - 13)
- Distribute 6: 6 * 2M = 12M, 6 * -13 = -78
- So, the expression simplifies to: 12M - 78
- Match with the letter: D (since D corresponds to 12M - 78)
5.
Expression 5: -4M - 28
- This expression is already simplified.
- Match with the letter: B (since B corresponds to -4M - 28)
6.
Expression 6: -21M - 56
- This expression is already simplified.
- Match with the letter: Z (since Z corresponds to -21M - 56)
7.
Expression 7: 9(4M + 14)
- Distribute 9: 9 * 4M = 36M, 9 * 14 = 126
- So, the expression simplifies to: 36M + 126
- Match with the letter: X (since X corresponds to 36M + 126)
8.
Expression 8: 10M + 14
- This expression is already simplified.
- Match with the letter: V (since V corresponds to 10M + 14)
9.
Expression 9: 2(5M + 7)
- Distribute 2: 2 * 5M = 10M, 2 * 7 = 14
- So, the expression simplifies to: 10M + 14
- Match with the letter: T (since T corresponds to 10M + 14)
10.
Expression 10: 16M - 56
- This expression is already simplified.
- Match with the letter: S (since S corresponds to 16M - 56)
11.
Expression 11: 8(M - 5)
- Distribute 8: 8 * M = 8M, 8 * -5 = -40
- So, the expression simplifies to: 8M - 40
- Match with the letter: Q (since Q corresponds to 8M - 40)
12.
Expression 12: 15M + 160
- This expression is already simplified.
- Match with the letter: O (since O corresponds to 15M + 160)
Final Answer:
JHFDBZXVTXSQO
Parent Tip: Review the logic above to help your child master the concept of algebra 1 fun worksheet.
