Evaluate Algebraic Expressions

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. It does not have an equality sign.

Front

How do you evaluate an algebraic expression?

Back

To evaluate an algebraic expression, substitute the values of the variables into the expression and perform the arithmetic operations.

Front

What does the term 'cost' refer to in application-based algebra problems?

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In application-based algebra problems, 'cost' typically refers to the total amount of money spent, which can be represented by an algebraic expression.

Front

What is the significance of the variable 'p' in the expression $14.25p + $4.50?

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In the expression $14.25p + $4.50, 'p' represents the number of CDs ordered, which affects the total cost.

Front

How do you simplify the expression 6a - 3d when a = 1 and d = 2?

Back

Substituting a = 1 and d = 2 into the expression gives 6(1) - 3(2) = 6 - 6 = 0.

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What is the result of evaluating the expression 2(a - 5) + 2 when a = 15?

Back

Substituting a = 15 gives 2(15 - 5) + 2 = 2(10) + 2 = 20 + 2 = 22.

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How do you evaluate b^2 + 4 when b = 3?

Back

Substituting b = 3 gives 3^2 + 4 = 9 + 4 = 13.

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What is the value of the expression 3x + 8 when x = 2?

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Substituting x = 2 gives 3(2) + 8 = 6 + 8 = 14.

Front

What is the purpose of using parentheses in algebraic expressions?

Back

Parentheses indicate the order of operations, ensuring that the operations within them are performed first.

Front

What is the order of operations in algebra?

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The order of operations is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right), often abbreviated as PEMDAS.