Combining Like Terms 2
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Question 1 of 4
1. Question
Simplify`7x+6y^2-3+y^2-5x`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 `y^2`, so we can combine them.Note that variables without constants have `1` as a constant.`7x+6``y^2` `-3+``y^2` `-5x` `=` `(6+1)``y^2``+7x-3-5x` Solve the constants of like terms `=` `7y^2+7x-3-5x` There are also two terms that both have the variable `x`, so we can combine them.`7y^2+7``x` `-3-5``x` `=` `7y^2+(7-5)``x` `-3` Solve the constants of like terms `=` `7y^2+2x-3` `7y^2+2x-3` -
Question 2 of 4
2. Question
Simplify`3b^2-9+2b-b^2+4b-2a`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 `b^2`, so we can combine them.Note that variables without constants have `1` as a constant.`3``b^2` `-9+2b-``b^2` `+4b-2a` `=` `(3-1)``b^2` `-9+2b+4b-2a` Solve the constants of like terms `=` `2b^2-9+2b+4b-2a` There are also two terms that both have the variable `b`, so we can combine them.`2b^2-9+2``b` `+4``b` `-2a` `=` `2b^2-9+(2+4)``b` `-2a` Solve the constants of like terms `=` `2b^2+6b-2a-9` Rearrange the values further `2b^2+6b-2a-9` -
Question 3 of 4
3. Question
Simplify`7ab+4bc-3ab-cb`- (4ab+3bc)
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 `ab`, so we can combine them.`7``ab` `+4bc-3``ab` `-cb` `=` `(7-3)``ab` `+4bc-cb` Solve the constants of like terms `=` `4ab+4bc-cb` The variable `cb` can also be written as `bc`, and can be combined to another similar term.Note that variables without constants have `1` as a constant.`=` `4ab+4``bc` `-cb` `4ab+4``bc``-``bc` `cb=bc` `=` `4ab+(4-1)``bc` Solve the constants of like terms `=` `4ab+3bc` `4ab+3bc` -
Question 4 of 4
4. Question
Simplify`9a^2+3ab+2ba+4a^2`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 `a^2`, so we can combine them.`9``a^2` `+3ab+2ba+4``a^2` `=` `(9+4)``a^2` `+3ab+2ba` Solve the constants of like terms `=` `13a^2+3ab+2ba` The variable `ba` can also be written as `ab`, and can be combined to another similar term.`=` `13a^2+3``ab` `+2ba` `13a^2+3``ab` `+2``ab` `ba=ab` `=` `13a^2+(3+2)``ab` Solve the constants of like terms `=` `13a^2+5ab` `13a^2+5ab`
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