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Variable vs variable expression

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Explain how to evaluate an algebraic expression for given values of the variables. How would a person evaluate the expression "3x - 4y + 9" when x = 2 and y = 5?

(i) Explain the difference between a variable, a variable expression, and an equation. (ii) Explain the difference between a constant and a variable. (iii) Explain the difference between a constant and a coefficient. (iv) Explain the difference between a term and a factor. Use examples to support the explanations.

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Solution Summary

Contrast a variable, a variable expression, and an equation.

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In order to evaluate an algebraic expression for given values of the variables, one needs to substitute the given values for their respective variables and then perform the indicated mathematical operations.

To solve 3x - 4y + 9 when x = 2 and y =5, one starts by replacing x with 2 and y with 5

3(2) - 4(5) + 9

6 - 20 + 9

-14 + 9

-5

A variable is a letter that represents a number. A variable is ...

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