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 is a variable in algebra?

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A variable is a symbol, often a letter, that represents one or more numbers. For example, in the expression 2x + 3, 'x' is a variable.

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What is a constant term in an algebraic expression?

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

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What does the term 'coefficient' mean?

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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 does 'less than' indicate in algebraic expressions?

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'Less than' indicates subtraction. For example, '12 less than n' translates to n - 12.

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How do you translate 'three times n' into an algebraic expression?

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'Three times n' translates to 3n.

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What is the difference between terms and coefficients?

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Terms are the parts of an expression separated by addition or subtraction, while coefficients are the numbers in front of variables.

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What is the sum of two algebraic expressions?

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The sum of two algebraic expressions is found by combining like terms. For example, (2x + 3) + (4x + 5) = 6x + 8.

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What does it mean to simplify an algebraic expression?

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To simplify an algebraic expression means to combine like terms and reduce it to its simplest form.

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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.