9/9 Flashcard Algebraic Expressions 2

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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 + 2 is an algebraic expression.

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What is a variable in algebra?

Back

A variable is a symbol, often a letter, that represents an unknown value in an expression or equation. For example, in the expression 5x, '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 the term 4m, 4 is the coefficient.

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

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Count the number of separate parts in the expression that are added or subtracted. For example, in 3x + 2y + z, there are 3 terms.

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What does it mean to simplify an expression?

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To simplify 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 the difference between an equation and an expression?

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An equation states that two expressions are equal, while an expression is a combination of numbers, variables, and operations without an equality sign. For example, 2x + 3 is an expression, while 2x + 3 = 7 is an equation.

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What is the distributive property?

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The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by each term in a parenthesis.

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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, if x = 2 in 3x + 1, then it evaluates to 3(2) + 1 = 7.

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What is a term in an algebraic expression?

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A term is a single mathematical expression that can be a number, a variable, or a combination of both multiplied together. For example, in 4x + 5, both 4x and 5 are terms.

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What does it mean to combine like terms?

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Combining like terms means to add or subtract terms that have the same variable raised to the same power. For example, 3x + 2x = 5x.