Question

Use p = 2 and p = 8 to determine if the two expressions are equivalent. 4(2 + p) 14 + p Complete the statements.

Answer 1

The expressions are not equivalent.

Explanation:

Here we have two expressions:

4*(2 + p)

14 + p

We want to evaluate these two expressions in two different values of p to check if the expressions are equivalent or not.

First, we evaluate both of them in p = 2, this is just replace p by 2 in each expression and then solve it.

4*(2 + 2) = 4*4 = 16

14 + 2 = 16

In this case, we can see that both expressions yield the same number, so we could think that the expressions are equivalent, now let's try with other value of p.

Now let's do it with p = 8

4*(2 + 8) = 4*10 = 40

14 + 8 = 22

Now we can see that the results are different, then we can conclude that the expressions are not equivalent.

Answer 2

Use p = 2 and p = 8 to determine if the two expressions are equivalent.

4(2 + p) 14 + p

Complete the statements.

If both expressions have the same value after substituting two different values and simplifying, then they are

✔ equivalent expressions

.

When p = 2, the first expression is

✔ 16

and the second expression is 16.

When p = 8, the first expression is 40 and the second expression is

✔ 22

.

The expressions are

✔ not equivalent

.