Algebra 1 - SOL A.1 Expressions (Pace)

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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. It does not have an equality sign.

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What are like terms in algebra?

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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.

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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 while keeping the variable part the same. For example, 3x + 5x = 8x.

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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 inside a parenthesis.

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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 it mean to evaluate an expression?

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To evaluate an expression means to substitute the values of the variables into the expression and perform the operations to find a numerical result.

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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 4x, 4 is the coefficient.

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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 in an expression or equation.

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How do you write an expression for a word problem?

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Identify the quantities involved, assign variables to unknowns, and use mathematical operations to express relationships between them.

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What is the process of simplifying an expression?

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Simplifying an expression involves combining like terms and using the distributive property to rewrite the expression in a more compact form.