Evaluating 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. It does not have an equality sign.

Front

What does it mean to evaluate an algebraic expression?

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

Front

How do you substitute values into an algebraic expression?

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To substitute values, replace each variable in the expression with its corresponding numerical value and then simplify the expression.

Front

What is the distributive property in algebra?

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The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

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How do you simplify the expression 3(2x + z) when x=8 and z=2?

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First, substitute x and z: 3(2(8) + 2) = 3(16 + 2) = 3(18) = 54.

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What is the result of evaluating the expression 6(x + 5)?

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The expression 6(x + 5) represents six times the sum of a number x and five. The result depends on the value of x.

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How do you evaluate the expression 2x + 5(y - 1) when x=8 and y=5?

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Substitute x and y: 2(8) + 5(5 - 1) = 16 + 5(4) = 16 + 20 = 36.

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What is the formula for evaluating the expression bc + 5a when a=3, b=4, and c=-6?

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Substitute the values: 4(-6) + 5(3) = -24 + 15 = -9.

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What does (y + z)² represent in algebra?

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The expression (y + z)² represents the square of the sum of y and z, which can be expanded using the formula (a + b)² = a² + 2ab + b².

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How do you evaluate (y + z)² when y=5 and z=2?

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Substitute y and z: (5 + 2)² = 7² = 49.