Combining Like Terms 1
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Question 1 of 4
1. Question
Simplify`9x+3x-5x`- (7x)
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When simplifying expressions, like terms can be combined or operated on.Since all the terms in the expression have the variable `x`, they are all like terms.This means we can directly add and subtract them.`9``x` `+3``x` `-5``x` `=` `(9+3-5)``x` Solve the constants `=` `7x` `7x` -
Question 2 of 4
2. Question
Simplify`2f-6y+3f`- (5f-6y)
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When simplifying expressions, like terms can be combined or operated on.Since there are two terms that both have the variable `f`, we can combine them.`2``f` `-6y+3``f` `=` `(2+3)``f``-6y` Solve the constants of like terms `=` `5f-6y` `5f-6y` -
Question 3 of 4
3. Question
Simplify`7x^2+3x-4x^2-x`Hint
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When simplifying expressions, like terms can be combined or operated on.There are two terms that both have the variable `x^2`, so we can combine them.`7``x^2` `+3x-4``x^2` `-x` `=` `(7-4)``x^2``+3x-x` Solve the constants of like terms `=` `3x^2+3x-x` There are also two terms that both have the variable `x`, so we can combine them.Note that variables without constants have `1` as a constants.`3x^2+3``x``-``x` `=` `3x^2+(3-1)``x` Solve the constants of like terms `=` `3x^2+2x` `3x^2+2x` -
Question 4 of 4
4. Question
Simplify`3m^2+4-2m+m^2+9`Hint
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When simplifying expressions, like terms can be combined or operated on.There are two terms that both have the variable `m^2`, so we can combine them.Note that variables without constants have `1` as a constant.`3``m^2` `+4-2m+``m^2` `+9` `=` `(3-1)``m^2``+4-2m+9` Solve the constants of like terms `=` `4m^2+4-2m+9` There are also two terms that have no variables, so we can combine them.`4m^2+``4` `-2m+``9` `=` `4m^2-2m+``(4+9)` Solve the constants of like terms `=` `4m^2-2m+13` `4m^2-2m+13`
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