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 correct operations in the equation.
Simone did not use the correct operations in the equation.

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

Simone did not use the correct factors for 28 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.

Here's why:

• Simone tried to factor the expression \(28 + 60\) and expressed it as \(4(7 + 20)\).
• The correct greatest common factor (GCF) of 28 and 60 is actually 4, but the way she factored the expression is incorrect because \(20\) is not a part of the factors for \(60\) when factored properly along with \(28\).
• Instead, \(60\) can be broken down into \(4\) times \(15\), and the expression \(28 + 60\) should be factored as \(4(7 + 15)\) instead.

Thus, the error lies primarily in her incorrect factorization of \(60\).