Simone applied the distributive property using the greatest common factor to determine the expression that is equivalent to 28+60

Question

. Her work is shown below.

Factors of 24: 1, 2, 4, 7, 14, 28

Factors of 56: 1, 2, 3, 4, 5, 6, 10, 15, 20, 30, 60

28+60=4(7+20)


What statement best describes Simone's error?

(1 point)
Responses

Simone did not use the greatest common factor in the equation.
Simone did not use the greatest common factor in the equation.

Simone did not use the correct factors for 28 in the equation.
Simone did not use the correct factors for 28 in the equation.

Simone did not use the correct factors for 60 in the equation.
Simone did not use the correct factors for 60 in the equation.

Simone did not use the correct operations in the equation.

Answer 1

The statement that best describes Simone's error is:

Simone did not use the correct factors for 60 in the equation.

This is because the expression \( 4(7 + 20) \) is incorrectly representing the sum \( 28 + 60 \). In the expression, Simone factored out 4, but the components inside the parentheses (7 and 20) do not correctly combine to recreate 60 when multiplied by 4. Instead, \( 60 \) should be factored differently (i.e. \( 60 = 4 \times 15 \)). Thus, the correct common factor and representation were not used.