Combining Like Terms Exit Ticket

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What does it mean to combine like terms in an algebraic expression?

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Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

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What are like terms?

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Like terms are terms that have the same variable(s) raised to the same power. For example, 3x and 5x are like terms, while 3x and 3x^2 are unlike terms.

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What are unlike terms?

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Unlike terms are terms that do not have the same variable(s) raised to the same power. For example, 2a and 3b are unlike terms.

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How do you simplify the expression 9x + 5(x + 3)?

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First, distribute the 5: 9x + 5x + 15. Then combine like terms: 14x + 15.

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What is the result of simplifying the expression 12(4x + 5) + 10x?

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First, distribute the 12: 48x + 60 + 10x. Then combine like terms: 58x + 60.

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How do you combine the terms in the expression 3x + 2x + 3y - 7y?

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Combine like terms: (3x + 2x) + (3y - 7y) = 5x - 4y.

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What is the simplified form of the expression 2r + 5s - 18 + 6r?

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Combine like terms: (2r + 6r) + 5s - 18 = 8r + 5s - 18.

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What is the first step in combining like terms?

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Identify and group the like terms in the expression.

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Can constants be combined with variable terms?

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No, constants can only be combined with other constants. Variable terms can only be combined with like variable terms.

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What is the importance of combining like terms in algebra?

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Combining like terms simplifies expressions, making them easier to solve and understand.