Question

OPEN-ENDED Write an expression with five different terms that is equivalent to 8x² + 3x² + 3y. Justify your answer.

Answer 1

Answer

Explanation:

One way to write an expression equivalent to 8x² + 3x² + 3y is to combine like terms:

(8x² + 3x²) + 3y = 11x² + 3y

This is equivalent to the original expression because combining like terms does not change the value of the expression. The term 8x² and the term 3x² both have the same variable (x) raised to the same power (2), so they can be combined. The term 3y is not a like term to either 8x² or 3x², so it cannot be combined with either of those terms. However, the order of the terms in the expression does not affect its value, so we can rearrange the terms in any order we choose.