Question

Use the terms 4,12a,6,2a,and 24 to make equivalent expressions. Use each term only once. Use substitution to prove that the expressions are equivalent

Answer 1

In this problem, our best option is to just guess-and-check.

6(2a + 4) = 12a + 24

Now let’s check this!

Distribute the 6:: 12a + 24 = 12a + 24

Both sides look the same so that’s our answer.

And there you have it! 6(2a + 4) = 12a + 24 is your final equation. You can split up both sides into individual expressions (writing them separately without = ).

For using substitution, choose a random number for a and put it into both separate expressions, and they should result in the same number.

Ex. a = 1
6(2+4) = 6(6) = 36. 12+24=36

And that should be it for this question!