Simplify the following 2 questions: 4x+6-2x+6 & -4-5t+t-10?

Question

Pre-Algebra

Answer 1

INSTEAD of giving you the answer directly -- here are the steps to solve and simplify.

WRITE down the equations on separate lines -- leave about 4 lines between each problem.

NOW -- draw connecting lines between the LIKE TERMS (for example -- in the first problem (4x+6-2x+6) the like terms are those that have the 'x' value with them and the other set of like terms are the constants with NO variables with them) -- I would use two different color pencils to do that)

so add the 4x and 2x together (Answer is _x) -- then add the constants (those numbers without variables together (or +6+6)) together (Answer is __).

Now put these two results together on the 3rd line.


Finally, factor out any common terms in the results.

THAT is your final answer and the simplified expression.




FOLLOW these steps once again for the 2nd problem -- but now instead of the variable being 'x' it is now 't'.

NOW

Answer 2

4x + 6 - 2x + 6
= 2x + 12
= 2 ( x + 6 )

-4 - 5t + t - 10
= -14 -4t
= - 2 ( 7 + 2t )

Answer 3

4 x + 6 - 2 x +6
2 x + 12

- 4 - 5 t + t - 10
- 14 - 4 t

Answer 4

4x+6-2x+6
2x+6+6 --- you can add the terms that have x's in them together
2x+12 --- then add the normal numbers together
2(x+6) --- to finish up you can factor out a 2 because each term can be divided by 2

-4-5t+t-10
-4-4t-10 --- combine the terms with t in them
-4t-14 --- combine the numbers
-2(2t+7) --- you can factor out a -2 because each number can be divided by -2

Answer 5

E1. 4x+6-2x+6
E2. -4-5t+t-10

E1. 4x-2x+6+6 = 2x+12 = 2(x+6)
E2. -5t+t-4-10 = -4t-14 = -2(2t+7)

Answer 6

Simplify terms with variables(letters by them )first.
Then subtract/ add integers (whole numbers without variables)
I. E. a. 4x+6-2x+6
4x-2x= 2x+ 12
The second answer is -4t+-14

Answer 7

1.)4x+6-2x+6
-2x+12

2.)-4-5t+t-10
-4-4t-10

-14-4t

Answer 8

The first answer is 2x+12

The second answer is -4t -14