Which of the following pairs of expressions are equivalent?(1 point)

Question

Responses

8⋅c+40
and 8(c−5)
8 times c plus 40 and 8 left parenthesis c minus 5 right parenthesis

6(y+3)
and 6⋅y+3
6 left parenthesis y plus 3 right parenthesis and 6 times y plus 3

12⋅t+6
and 12(t+12)
12 times t plus 6 and 12 left parenthesis t plus Start Fraction 1 over 2 End Fraction right parenthesis

−5(a−1)
and −5⋅a−5

Answer 1

Let's analyze each pair of expressions to determine if they are equivalent.

1. 8⋅c + 40 and 8(c−5):

   • 8(c−5) = 8c - 40
   • This is not equivalent to 8c + 40.

2. 6(y + 3) and 6⋅y + 3:

   • 6(y + 3) = 6y + 18
   • This is not equivalent to 6y + 3.

3. 12⋅t + 6 and 12(t + 12):

   • 12(t + 12) = 12t + 144
   • This is not equivalent to 12t + 6.

4. −5(a − 1) and −5⋅a − 5:

   • −5(a − 1) = −5a + 5
   • This is equivalent to -5⋅a + 5, not -5⋅a - 5.

After checking all pairs, none of the provided pairs of expressions are equivalent.