You can add and subtract any like terms. Since 8w, -4w, and 4w are all like terms, since 8, -4, and 4 all tell how many w's you have. This is the essentially same as saying "There are 8 apples, subtract 4 apples, and add 4 apples." (Don't forget that 8w-4w is the same as 8w + -4w). To solve, just add 8, subtract 4, and add 4. Leave w alone. The answer is 4w.
2x-3x+1 can be simplified (by combining like terms, or terms with the same number/type of variables) to -x+1. This is not an equation, but an "expression," meaning that there is no equals sign, and you cannot solve for x without an equals sign. If, for instance, that entire expression was equal to 7, -x+1=7 -x = 6 x = -6
That equals x.
It means to rewrite the expression so that it is in its simplest form. You can do this by combining like terms. For example: The equation 2x + 3x = 5 can be simplified to 5x = 5 by combining the "x's".
10x and 6y are terms of an algebraic expression
If you have a expression that goes; 2x + 5x etc etc Simplifying the like terms is 7x 2x and 5x are like terms, but 2y and 2x are not. The variable needs to be the same.
2x-3x+1 can be simplified (by combining like terms, or terms with the same number/type of variables) to -x+1. This is not an equation, but an "expression," meaning that there is no equals sign, and you cannot solve for x without an equals sign. If, for instance, that entire expression was equal to 7, -x+1=7 -x = 6 x = -6
Like Terms and Variables
An expression does not include an equals sign (=) For eg: 2x+3 would not be an equation but an expression However, 2x+3=0, is definitely an equation with a solution x= -3/2. An expression does not have a definite solution. An expression is a set of terms with mathematical operations combining them. An equation consists of two expressions with an equals sign between them. An expression is a collection of terms and does not have an = sign An equation is a collection of terms but has an = sign between them.
6a + 5a = -11 Combining like terms: 11a = -11 Dividing by 11: a = -1
When you have an expression you have to simplify by eliminating all grouping symbols and combining like terms.
3b-4-6b-5
The expression: 12+15h-14h+4 can be simplified to 16+h by combining like terms
That equals x.
There are only the two terms, so 8xy
You add (or subtract) like terms. This will reduce the number of terms in the expression and that is the extent of simplification that you can achieve using this process.
It means to rewrite the expression so that it is in its simplest form. You can do this by combining like terms. For example: The equation 2x + 3x = 5 can be simplified to 5x = 5 by combining the "x's".
When you have an expression like 6x - 6x, you can simplify it by combining like terms. In this case, the two terms are identical, so when you subtract one from the other, you are left with 0. Therefore, the result of 6x - 6x is 0.