CFA Review of Algebraic Expressions and Order of Operations

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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 (like x or y), and operation symbols (like +, -, *, /). For example, 3x + 5 is an algebraic expression.

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What does the Order of Operations tell us?

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The Order of Operations is a set of rules that tells us the correct sequence to evaluate a mathematical expression. The order is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right), often remembered by the acronym PEMDAS.

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19

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Which expression is equal to 29? 20 + (13 - 4), (20 - 13) + 4, 20 - (4 + 13), (13 + 4) - 20?

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20 + (13 - 4)

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What does '5 fewer than the product of 12 and 2' mean in algebraic terms?

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How do you express 'sixteen minus two, divided by the sum of three and four' in algebra?

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9

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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 number. For example, in the expression 2x + 3, x is the variable.

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What does it mean to simplify an expression?

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To simplify an expression means to reduce it to its simplest form, combining like terms and performing operations where possible.

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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, using an equal sign (=). An expression does not have an equal sign and represents a value.