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, 2x + 3 is an algebraic expression.

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What are like terms?

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Like terms are terms in an algebraic expression that have the same variable raised to the same power. For example, 3x and 5x are like terms, while 3x and 4y 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 have the same variable. For example, in 2x + 3x, you combine to get 5x.

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What does it mean to simplify an expression?

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Simplifying an expression means to reduce it to its simplest form by combining like terms and performing any possible operations.

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What is a variable in algebra?

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

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What is a coefficient?

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A coefficient is a numerical factor in a term of an algebraic expression. For example, in 4x, 4 is the coefficient.

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How do you evaluate an algebraic expression?

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To evaluate an algebraic expression, substitute the values of the variables into the expression and perform the operations. For example, for 3m - 5t with m=2 and t=1, substitute to get 3(2) - 5(1) = 6 - 5 = 1.

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What is the difference between an expression and an equation?

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An expression is a combination of numbers, variables, and operations without an equality sign, while an equation states that two expressions are equal, using an equality sign.

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What does '12 more than m' mean in algebraic terms?

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'12 more than m' translates to the algebraic expression m + 12.

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How do you write an expression for 'the sum of a number and 5'?

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The expression for 'the sum of a number and 5' is x + 5, where x represents the unknown number.