Evaluating 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

What does it mean to evaluate an algebraic expression?

Back

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

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable in an algebraic expression. For example, in 4x, 4 is the coefficient.

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 result of evaluating the expression 6a + 2(c - b) when a = 2, b = 1, c = 9?

Back

The result is 28.

Front

What is the value of the expression b² + 4 when b = 3?

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The value is 13.

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How do you find the value of an expression with multiple variables, such as 8y + 12 - 2z?

Back

Substitute the values of y and z into the expression and then perform the arithmetic operations.

Front

What are the coefficients in the expression 8a + b + 9?

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The coefficients are 8 (for a) and 1 (for b). The constant term 9 does not have a variable.

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What is the value of the expression 5x + 2 when x = 1?

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The value is 7.

Front

What is the difference between a term and a coefficient in an algebraic expression?

Back

A term is a single mathematical expression that can be a number, variable, or the product of numbers and variables. A coefficient is the numerical part of a term that contains a variable.