Question

Use the Commutative Property to generate an equivalent expression -2y + 3t + 5.

a) 5 + 3t + 2y
b) 3t - 2y - 5
c) 5 - 2y - 3t
d) 3t + 5 - 2y

Answer 1

The question is about the Commutative Property of addition. By reordering the terms of the given expression -2y + 3t + 5, the equivalent expression using the Commutative Property is 5 + 3t - 2y, which is option (a).

Step-by-step explanation:

The student is asking about the Commutative Property of addition, which states that you can change the order of the terms that are being added without changing the sum. In an expression, this means that terms can be reordered. The original expression given by the student is -2y + 3t + 5. By applying the Commutative Property, we can generate an equivalent expression.

Let's rearrange the terms:

• 3t + (-2y) + 5, which simplifies to 3t - 2y + 5, or
• 5 + 3t + (-2y), which simplifies to 5 + 3t - 2y.

Therefore, the expression that correctly applies the Commutative Property to the given expression is 5 + 3t - 2y, which is option (a).