Use p = 2 and p = 8 to determine if the two expressions are equivalent.
4(2 + p) 14 + p
Complete the statements.
To determine if the two expressions are equivalent, we need to substitute the given values of p into each expression and evaluate them.
Let's start with the expression 4(2 + p):
Substituting p = 2:
4(2 + 2) = 4(4) = 16
Substituting p = 8:
4(2 + 8) = 4(10) = 40
Now let's evaluate the expression 14 + p:
Substituting p = 2:
14 + 2 = 16
Substituting p = 8:
14 + 8 = 22
Comparing the results, we can see that for p = 2, both expressions yield 16. However, for p = 8, the first expression evaluates to 40, while the second expression evaluates to 22.
Therefore, the two expressions are not equivalent since they give different results for p = 8.