Solving Equations

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What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more variables.

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What does it mean to solve an equation?

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To solve an equation means to find the value(s) of the variable(s) that make the equation true.

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What is the first step in solving the equation 4x + 3 = -5?

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Subtract 3 from both sides to isolate the term with the variable: 4x = -5 - 3.

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What is the solution to the equation 4x + 3 = -5?

Back

x = -2.

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How do you represent a situation where a tub drains water at a constant rate?

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You can use a linear equation, such as y = -6x + 40, where y is the amount of water left and x is the time in minutes.

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What does the slope represent in the equation y = -6x + 40?

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The slope (-6) represents the rate at which the water is draining from the tub, in gallons per minute.

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What is the distributive property?

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The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a set of parentheses.

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Solve the equation 3(x - 2) = 18.

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x = 8.

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What is the total cost equation for Eddie's Electric service?

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The equation is y = 90x + 50, where y is the total cost, x is the number of hours worked, and 90 is the hourly rate.

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