1): 8x+y-6+4x
2) 1/2x+1+1/2x
3) 3(x+2)+4
4) 5+4(x-2)
5) 2(x+1)+3(x+2)
6) -8y+4g
Please help!
2) 1/2x+1+1/2x
3) 3(x+2)+4
4) 5+4(x-2)
5) 2(x+1)+3(x+2)
6) -8y+4g
Please help!
-
Okay, so like terms are the terms with a variable in common or no variable in common.
1. You have two terms with an x in them, so combine them. You have 8x and positive 4x, so you add. Nothing will combine with the y or -6, so they tag along. The answer is 12x + y - 6
2. You have two terms with an x. You have 1/2x and positive 1/2 x, so you add them together. nothing combines with the 1, so it tags along. The answer is 1x + 1. You can take the 1 away from the x because it is always understood, so you could also write it as x + 1.
3. First you have to distribute the 3. Because it is touching the outside of the parenthesis, you know the sign is multiplication so you distribute. That means multiply 3 by everything inside the parenthesis. After that, your problem is 3x + 6 + 4. There is only one term with an x, so it stays the same, but you have two numbers without variables, so you can combine them. They are 6 and positive 4, so you add them. The answer is 3x + 10
4. Once again, distribute the 4. Now you have 5 + 4x - 8. The five can combine with the negative 8 because they both are just numbers without variables. Because the sign is negative, you subtract. The 4x stays the same because there are no other terms with an x. Your answer is -3 + 4x. You could also write 4x - 3
5. Distribute. You get 2x + 2 + 3x + 6. You have two terms with an x in them so they combine, and you have two numbers without variables, so they combine. You get 5x + 8.
6. It's already combined because you have two terms with two different variables, so they aren't like, so nothing can be combined.
Make sense?
If it doesn't, write what you are confused about in the additional details.
Good luck! (:
1. You have two terms with an x in them, so combine them. You have 8x and positive 4x, so you add. Nothing will combine with the y or -6, so they tag along. The answer is 12x + y - 6
2. You have two terms with an x. You have 1/2x and positive 1/2 x, so you add them together. nothing combines with the 1, so it tags along. The answer is 1x + 1. You can take the 1 away from the x because it is always understood, so you could also write it as x + 1.
3. First you have to distribute the 3. Because it is touching the outside of the parenthesis, you know the sign is multiplication so you distribute. That means multiply 3 by everything inside the parenthesis. After that, your problem is 3x + 6 + 4. There is only one term with an x, so it stays the same, but you have two numbers without variables, so you can combine them. They are 6 and positive 4, so you add them. The answer is 3x + 10
4. Once again, distribute the 4. Now you have 5 + 4x - 8. The five can combine with the negative 8 because they both are just numbers without variables. Because the sign is negative, you subtract. The 4x stays the same because there are no other terms with an x. Your answer is -3 + 4x. You could also write 4x - 3
5. Distribute. You get 2x + 2 + 3x + 6. You have two terms with an x in them so they combine, and you have two numbers without variables, so they combine. You get 5x + 8.
6. It's already combined because you have two terms with two different variables, so they aren't like, so nothing can be combined.
Make sense?
If it doesn't, write what you are confused about in the additional details.
Good luck! (: