Algebraic Expressions

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What is an algebraic expression?

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An algebraic expression is a mathematical phrase that includes numbers, variables, and operation symbols (like +, -, *, /). For example, 3x + 5 is an algebraic expression.

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What is a constant in algebra?

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

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What is a variable in algebra?

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A variable is a symbol (usually a letter) that represents an unknown value. For example, in the expression 2x + 3, 'x' is a variable.

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What is a coefficient?

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A coefficient is a number that is multiplied by a variable in an algebraic expression. For example, in 5x, 5 is the coefficient.

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What are terms in an algebraic expression?

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Terms are the parts of an algebraic expression that are separated by + or - signs. For example, in 3x + 4y - 5, the terms are 3x, 4y, and -5.

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What is the difference between a term and a constant?

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A term can be a constant, a variable, or a product of both. A constant is specifically a fixed value. For example, in 2x + 3, '3' is a constant, while '2x' is a term.

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What does it mean for an expression to be simplified?

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Simplifying an expression means to combine like terms and reduce it to its simplest form. For example, 2x + 3x simplifies to 5x.

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What is a like term?

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Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms, while 3x and 3y are not.

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What is an equation?

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An equation is a mathematical statement that asserts the equality of two expressions, typically containing an '=' sign. For example, 2x + 3 = 7 is an equation.

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What is the purpose of using parentheses in algebra?

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Parentheses are used to indicate which operations should be performed first in an expression. For example, in (2 + 3) * 4, you add 2 and 3 before multiplying by 4.