When you simplify: 1/3 (6a -3) what answer do you get?

Question

Simplify:  1/3 (6a -3)  

A.) 2a – 1
B.) 2a – 19
C.) 18a – 1
D.) 3a + 1

Answer 1

2a-1

Answer 2

This kind of question is easy to answer without actually simplifying. Just plug in some values for a. Try to choose values that are easy to do, so I'd suggest a = -1, 0, or 1.

plugging a = 1 into 1/3 (6a -3), we get 1/3 (6x1 -3) = 1/3 (3) = 1

and plugging a=1 into the four choices,
A.) 2a -1 = 2(1) - 1 = 2 -1 = 1, the same as for the original.

to be on the safe side we check that 1 doesn't come up as an answer for B, C, or D.

B.) 2a – 19 = 2(1) - 19 = 2 - 19 = -17, definitely not the answer
C.) 18a – 1 =18(1) - 1 = 18 - 1 = 17, definitely not the answer
D.) 3a + 1 = 3(1) + 1 = 3 + 1 = 4, closer to the answer than B or C, but definitely not the answer

Just by plugging in a = 1, I know the answer. For this problem, it's quick and easy to simplify the "long way": 1/3 (6a-3) because it's the same as 1/3 (6a) - 1/3 (3). Most of the time when the terms are more complex, a lot of the time it is faster to plug in some values for a, like a = 1, a = 0, or a = -1.

Answer 3

Simply by distributing...

(1/3)*(6a) - (1/3)*3

= 6a/3 - 3/3

= 2a - 1

The answer is A.

Good luck!

Answer 4

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Answer 5

a

Answer 6

a

Answer 7

A

Answer 8

A)