Generate Equivalent Expressions

Front

What is an equivalent expression?

Back

An equivalent expression is a mathematical expression that has the same value as another expression, even though they may look different.

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How do you determine if two expressions are equivalent?

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You can determine if two expressions are equivalent by simplifying both expressions and checking if they result in the same value.

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What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a number across a sum.

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Give an example of using the distributive property.

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For example, 3(2 + 4) = 3*2 + 3*4, which simplifies to 6 + 12 = 18.

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What does it mean to simplify an expression?

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To simplify an expression means to reduce it to its simplest form by combining like terms and performing operations.

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What are like terms?

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Like terms are terms that have the same variable raised to the same power, such as 2x and 3x.

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How do you combine like terms?

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You combine like terms by adding or subtracting their coefficients. For example, 2x + 3x = 5x.

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What is the purpose of creating equivalent expressions?

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Creating equivalent expressions helps in solving equations and simplifying problems in algebra.

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What is a coefficient in an expression?

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A coefficient is a numerical factor in a term of an expression, such as the 4 in 4x.

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What is a variable in an expression?

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A variable is a symbol, often a letter, that represents an unknown value in an expression, such as x or y.