Solving Literal Equations

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What is a literal equation?

Back

A literal equation is an equation that contains two or more variables and is solved for one variable in terms of the others.

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What is the first step in solving a literal equation?

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The first step often involves isolating the variable of interest by performing inverse operations, such as addition, subtraction, multiplication, or division.

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How do you solve for a variable in a literal equation?

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To solve for a variable, rearrange the equation using algebraic operations to isolate the variable on one side of the equation.

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What does it mean to isolate a variable?

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Isolating a variable means to manipulate the equation so that the variable is alone on one side, making it easier to solve for its value.

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In the equation x + 2w = m, how do you solve for x?

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To solve for x, subtract 2w from both sides to get x = m - 2w.

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What is the solution for r in the equation M = i + r?

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To solve for r, subtract i from both sides, resulting in r = M - i.

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How do you solve the equation 2s = 6t + 8w for s?

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Divide both sides by 2 to isolate s, resulting in s = 3t + 4w.

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What is the process of rearranging an equation called?

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The process of rearranging an equation to solve for a variable is called 'solving for the variable' or 'rearranging the equation'.

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In the equation x = by + v, what does x represent?

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In this equation, x is expressed in terms of the variables b, y, and v.

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What is the importance of understanding literal equations in algebra?

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Understanding literal equations is crucial for solving real-world problems where relationships between variables need to be expressed and manipulated.