Question

Explain how to determine if the two expressions are,

equivalent using x = 6 and x = 10.
8x + 40
8(x + 5)

Answer 1

If both expressions have the same value after substituting and simplifying for x = 6 and x = 10, then they are equivalent. Substitute 6 for each variable, x, in both expressions. Use the order of operations to simplify both expressions. The value of both expressions is 88. Now, substitute 10 for each variable, x, in both expressions. Use the order of operations to simplify both expressions. The value of both expressions is 120. Therefore, the expressions are equivalent.

Explanation:

*WARNING*

Sample response

Answer 2

all you need to do is plug in 6 and 10 for x.

8(6) + 40 = 88
8(6+5) = 88
so that’s equivalent, now try 10
8(10) + 40 = 120
8(10+5) = 120
so they are equivalent