Question

identify which expressions are equivalent to the given expression.
24y - 60

which of the following is equivalent to the expression 24y - 60? select all that apply.
a. 6(4y - 10)
b. 6(4y - 12)
c. 23y - 60 + y

Explanation:

Step1: Analyze Option A

Factor out 6 from \(24y - 60\). We know that \(24y\div6 = 4y\) and \(60\div6 = 10\), so \(24y - 60 = 6(4y - 10)\). So Option A is equivalent.

Step2: Analyze Option B

For \(6(4y - 12)\), distribute the 6: \(6\times4y - 6\times12 = 24y - 72\), which is not equal to \(24y - 60\). So Option B is not equivalent.

Step3: Analyze Option C

Simplify \(23y - 60 + y\). Combine like terms: \(23y + y - 60 = 24y - 60\). So Option C is equivalent.

Answer:

A. \(6(4y - 10)\)
C. \(23y - 60 + y\)