Writing Equations and Inequalities

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What is an equation?

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An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables and constants.

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What is an inequality?

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An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or not equal to the other.

Front

How do you represent a total cost in an equation?

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Total cost can be represented as the sum of fixed costs and variable costs, e.g., Total Cost = Fixed Cost + (Variable Cost per unit * Number of units).

Front

Write an equation for Scott's car bill if he charges $35 plus $7 per hour for a total of $63.

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How do you set up an inequality for a budget constraint?

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You set up an inequality by expressing the total cost as less than or equal to the budget, e.g., Total Cost ≤ Budget.

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Write an inequality for Carol's vegetable purchase if she wants to spend no more than $10.

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What does the variable represent in an equation?

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The variable represents an unknown quantity that we are trying to solve for in the equation.

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Write an equation for Speedy Boat Rental's total cost if the total cost is $33.

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How do you find a variable in an equation?

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To find a variable, isolate it on one side of the equation using algebraic operations.

Front

Write an equation to find Duncan's score if Eddie scored 58 points and scored 27 points more than half of Duncan's score.

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