Simplifying Algebraic Expressions

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What is an algebraic expression?

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An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. For example, 3x + 5 is an algebraic expression.

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What are like terms?

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Like terms are terms in an expression that have the same variable raised to the same power. For example, 2x and 3x are like terms, while 2x and 3y are not.

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How do you combine like terms?

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To combine like terms, add or subtract the coefficients of the terms that are alike. For example, in 5a + 2a, you combine them to get 7a.

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What is a constant in an algebraic expression?

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A constant is a fixed value that does not change. In the expression 4x + 7, the number 7 is the constant.

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How many terms are in the expression 2x + 3y - 5?

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There are three terms in the expression: 2x, 3y, and -5.

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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 eliminating any unnecessary parts.

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What is the coefficient in the term 6x?

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The coefficient is the number in front of the variable. In 6x, the coefficient is 6.

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What is the result of simplifying the expression 4x + 2x - 3?

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The result is 6x - 3.

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How do you identify the number of terms in an expression?

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Count each distinct part of the expression separated by + or - signs. For example, in 3x - 4 + 5y, there are three terms.

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What is the simplified form of 7y + 3y - 2y?

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The simplified form is 8y.