Unit 5: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 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 are like terms?

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Like terms are terms that have the same variable raised to the same power. For example, 4x and 7x are like terms, while 4x and 5y are not.

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How do you factor an expression?

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Factoring an expression involves rewriting it as a product of its factors. For example, 20x + 40xy + 60y can be factored as 20(x + 2xy + 3y).

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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 two or more terms inside a set of parentheses.

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What is the perimeter of a triangle?

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The perimeter of a triangle is the total length of all its sides. It can be found by adding the lengths of each side together.

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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, 3x + 4x = 7x.

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What is a coefficient in an algebraic expression?

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A coefficient is a numerical factor that multiplies a variable in an algebraic expression. For example, in 5x, 5 is the coefficient.

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What does it mean to evaluate an expression?

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To evaluate an expression means to calculate its value by substituting numbers for the variables. For example, if x = 2, then evaluate 3x + 1 as 3(2) + 1 = 7.

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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 in an expression or equation. For example, in the expression 2x + 3, x is the variable.