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1.What is the correct reason for statement 2?

Prove: 2(w + 6) + 4 = 2w + 16

Statements Reasons

  1. 2(w + 6) + 4 1. Given
  2. (2w + 12) + 4 2. ?
  3. 2w + (12 + 4) 3. Associative Property
  4. 2w + 16 4. Addition

2.What is the correct reason for statement 2?

Prove: 4 + 3x + (x ∙ 2) = 5x + 4

Statements Reasons

  1. 4 + 3x + (x ∙ 2) 1. Given
  2. 4 + 3x + 2x 2. ?
  3. 4 + 5x 3. Addition
  4. 5x + 4 4. Commutative Property


3.What is the correct reason for statement 3?

Prove: (11m) ∙ 4 + m = 45m

Statements Reasons

  1. (11m) ∙ 4 + m 1. Given
  2. 4 ∙ (11m) + m 2. Commutative Property
  3. (4 ∙ 11) ∙ m + m 3. ?
  4. 44m + m 4. Commutative Property
  5. 45m 5. Addition

4.What is the correct reason for statement 5?

Prove: k + 4 + 6(1 + k) = 11k + 10

Statements Reasons

  1. k + 4 + 6(1 + k) 1. Given
  2. k + 4 + (6+ 6k) 2. Distributive Property
  3. k + (4 + 6) + 6k 3. Associative Property
  4. k + 10 + 6k 4. Addition
  5. k + 6k + 10 5. ?
  6. 7k + 10 6. Addition

5.Select the correct reasons for statements 1 and 3 to complete the proof.

Prove: 3x + 2 • x • 11 = 25x.

  1. 3x + 2 • x • 11 = 3x + 2 • 11 • x 1. ?
  2. 3x + 2 • x • 11 = 3x + 22x 2. Multiplication
  3. 3x + 2 • x • 11 = 25x 3. ?

Verified Answer :

Hagrid
  1. The reason for statement 2 is
    Distributive Property

    2. The reason for statement 2 is
    Commutative Property

    3. The reason for statement 3 is
    Associative Property

    4. The reason for statement 5 is
    Commutative Property

    5. The reason for statement 1 is
    Associative Property
    The reason for statement 3 is
    Addition
adioabiola

State the correct reason for each statement

  • 2(w + 6) + 4 = 2w + 16

1. 2(w + 6) + 4

2. (2w + 12) + 4

3. 2w + (12 + 4)

4. 2w + 16

Statements Reasons:

1. Given

2. distributive property

3. Associative Property

4. Addition

  • 4 + 3x + (x ∙ 2) = 5x + 4

1. 4 + 3x + (x ∙ 2).

2. 4 + 3x + 2x

3. 4 + 5x

4. 5x + 4

Statements Reasons:

1. Given

2. cummulative property

3. Addition

4. Commutative Property

  • (11m) ∙ 4 + m = 45m

1. (11m) ∙ 4 + m

2. 4 ∙ (11m) + m

3. (4 ∙ 11) ∙ m + m

4. 44m + m.

5. 45m

Statements Reasons:

1. Given

2. Commutative Property

3. associative

4. Commutative Property

5. Addition

  • k + 4 + 6(1 + k) = 11k + 10

1. k + 4 + 6(1 + k)

2. k + 4 + (6+ 6k)

3. k + (4 + 6) + 6k

4. k + 10 + 6k

5. k + 6k + 10

6. 7k + 10

Statements Reasons:

1. Given

Given 2. Distributive Property

Given 2. Distributive Property 3. Associative Property

Given 2. Distributive Property 3. Associative Property 4. Addition

Given 2. Distributive Property 3. Associative Property 4. Addition 5. cumulative

6. Addition

  • 3x + 2 • x • 11 = 25x.

1. 3x + 2 • x • 11 = 3x + 2 • 11 • x

2. 3x + 2 • x • 11 = 3x + 22x

3. 3x + 2 • x • 11 = 25x

Reasons:

1. associative

1. associative2. Multiplication

1. associative2. Multiplication 3. addition

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