Question

Decide if the expressions in each pair are equivalent. Explain how you know.

x + x + x + x and 4x



5x and x + 5

Answer 1

x + x + x + x is the same as 4x

because its "x four times"

5x and x+5 are not the same because x+5 in not "x five times"

5x is 5 multiplied by x.

x + 5 is 5 added to x.

Answer 2

1) 4x and x+x+x+x are equal

2) 5x and x + 5 are not equal

Explanation:

1) 4x is essentially 4 x , which is x + x + x + x

2) 5x is equal to 5 x , not x + 5

Hope this helps. If you have any questions, let me know.