Question

Use t = 3 and t = 7 to determine if 6t + 12 and 6(t + 2) are equivalent. Which statements are true? Check all that apply.

Answer 1

Answer: The correct answers are 3: The value of both expressions when t = 3 is 30, 4: The value of both expressions when t = 7 is 54, and the last answer is 5: The expressions are equivalent.

Step-by-step explanation:

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Answer 2

1. false

2. false

3. true

4. true

5. true

6. false

Explanation:

1. The value of the first expression when t = 3 is not equal to the value of the second expression when t = 3.

2. The value of the first expression when t = 7 is not equal to the value of the second expression when t = 7.

3. The value of both expressions when t = 3 is 30.

4. The value of both expressions when t = 7 is 54.

5. The expressions are equivalent.

6. The expressions are not equivalent.

6t + 12 = 6(t + 2)

6(3) + 12 =6((3) + 2)

18 + 12 = 6(5)

30 = 30

6(7) + 12 = 6((7) + 2)

42 + 12 = 6(9)

54 = 54