Unit 5 Algebraic Expressions Flashcard Review

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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 constant in an algebraic expression?

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A constant is a fixed value that does not change. In the expression 3x + 2 + 7, the numbers 2 and 7 are constants.

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What is a variable in an algebraic expression?

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A variable is a symbol, often a letter, that represents an unknown value. In the expression 3x + 2, 'x' is the variable.

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What is a coefficient?

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A coefficient is a number that is multiplied by a variable in an algebraic expression. In 4x, 4 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 the variables with given numbers.

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What is the Identity Property of Multiplication?

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The Identity Property of Multiplication states that any number multiplied by 1 remains unchanged. For example, 1 × 83 = 83.

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What is the Commutative Property of Addition?

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The Commutative Property of Addition states that changing the order of the addends does not change the sum. For example, 3 + 5 = 5 + 3.

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What is the Associative Property of Addition?

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The Associative Property of Addition states that the way numbers are grouped does not change their sum. For example, (2 + 3) + 4 = 2 + (3 + 4).

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What is the Zero Property of Multiplication?

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The Zero Property of Multiplication states that any number multiplied by zero equals zero. For example, 5 × 0 = 0.

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How do you write 'the total of twice a number and six' as an algebraic expression?

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The expression is written as 2x + 6.