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name combining like terms g combining like terms 9b - b + 3b - 5 h comb…

Question

name
combining like terms
g combining like terms
9b - b + 3b - 5
h combining like terms
5m + 6 - 5 + m
i combining like terms
7a + 7 + 5a -5
j combining like terms
3g + 2 - 2g + g
k combining like terms
6c + 6 - 3c + 6
l combining like terms
2y - y + 4 + y

Explanation:

Response

Let's solve each problem by combining like terms:

Problem G: \( 9b - b + 3b - 5 \)

Step 1: Combine like terms with \( b \)

\( 9b - b + 3b = (9 - 1 + 3)b = 11b \)

Step 2: Write the simplified expression

\( 11b - 5 \)

Problem H: \( 5m + 6 - 5 + m \)

Step 1: Combine like terms with \( m \)

\( 5m + m = (5 + 1)m = 6m \)

Step 2: Combine constant terms

\( 6 - 5 = 1 \)

Step 3: Write the simplified expression

\( 6m + 1 \)

Problem I: \( 7a + 7 + 5a - 5 \)

Step 1: Combine like terms with \( a \)

\( 7a + 5a = (7 + 5)a = 12a \)

Step 2: Combine constant terms

\( 7 - 5 = 2 \)

Step 3: Write the simplified expression

\( 12a + 2 \)

Problem J: \( 3g + 2 - 2g + g \)

Step 1: Combine like terms with \( g \)

\( 3g - 2g + g = (3 - 2 + 1)g = 2g \)

Step 2: Write the simplified expression

\( 2g + 2 \)

Problem K: \( 6c + 6 - 3c + 6 \)

Step 1: Combine like terms with \( c \)

\( 6c - 3c = (6 - 3)c = 3c \)

Step 2: Combine constant terms

\( 6 + 6 = 12 \)

Step 3: Write the simplified expression

\( 3c + 12 \)

Problem L: \( 2y - y + 4 + y \)

Step 1: Combine like terms with \( y \)

\( 2y - y + y = (2 - 1 + 1)y = 2y \)

Step 2: Write the simplified expression

\( 2y + 4 \)

Final Answers:
  • G: \( 11b - 5 \)
  • H: \( 6m + 1 \)
  • I: \( 12a + 2 \)
  • J: \( 2g + 2 \)
  • K: \( 3c + 12 \)
  • L: \( 2y + 4 \)

Answer:

Let's solve each problem by combining like terms:

Problem G: \( 9b - b + 3b - 5 \)

Step 1: Combine like terms with \( b \)

\( 9b - b + 3b = (9 - 1 + 3)b = 11b \)

Step 2: Write the simplified expression

\( 11b - 5 \)

Problem H: \( 5m + 6 - 5 + m \)

Step 1: Combine like terms with \( m \)

\( 5m + m = (5 + 1)m = 6m \)

Step 2: Combine constant terms

\( 6 - 5 = 1 \)

Step 3: Write the simplified expression

\( 6m + 1 \)

Problem I: \( 7a + 7 + 5a - 5 \)

Step 1: Combine like terms with \( a \)

\( 7a + 5a = (7 + 5)a = 12a \)

Step 2: Combine constant terms

\( 7 - 5 = 2 \)

Step 3: Write the simplified expression

\( 12a + 2 \)

Problem J: \( 3g + 2 - 2g + g \)

Step 1: Combine like terms with \( g \)

\( 3g - 2g + g = (3 - 2 + 1)g = 2g \)

Step 2: Write the simplified expression

\( 2g + 2 \)

Problem K: \( 6c + 6 - 3c + 6 \)

Step 1: Combine like terms with \( c \)

\( 6c - 3c = (6 - 3)c = 3c \)

Step 2: Combine constant terms

\( 6 + 6 = 12 \)

Step 3: Write the simplified expression

\( 3c + 12 \)

Problem L: \( 2y - y + 4 + y \)

Step 1: Combine like terms with \( y \)

\( 2y - y + y = (2 - 1 + 1)y = 2y \)

Step 2: Write the simplified expression

\( 2y + 4 \)

Final Answers:
  • G: \( 11b - 5 \)
  • H: \( 6m + 1 \)
  • I: \( 12a + 2 \)
  • J: \( 2g + 2 \)
  • K: \( 3c + 12 \)
  • L: \( 2y + 4 \)