Solving Literal Equations

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What is a literal equation?

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

Tags

CCSS.HSA.CED.A.4

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How do you isolate a variable in a literal equation?

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To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

Tags

CCSS.HSA.CED.A.4

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Solve for r in the equation d = rt.

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r = \frac{d}{t}

Tags

CCSS.HSA.CED.A.4

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Solve for E in the equation I = \frac{E}{R}.

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E = IR

Tags

CCSS.HSA.CED.A.4

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Solve for S in the equation A = \frac{\pi r^2 S}{360}.

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S = \frac{360A}{\pi r^2}

Tags

CCSS.HSA.CED.A.4

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Solve for r in the equation T = p + prt.

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r = \frac{T - p}{pt}

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CCSS.HSA.REI.B.3

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Solve for h in the equation V = \pi r^2 h.

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h = \frac{V}{\pi r^2}

Tags

CCSS.HSA.CED.A.4

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What is the first step in solving a literal equation?

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Identify the variable you want to isolate and determine the operations affecting it.

Tags

CCSS.HSA.CED.A.4

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What does it mean to rearrange an equation?

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Rearranging an equation means changing the order of the terms or isolating a specific variable to make the equation easier to solve.

Tags

CCSS.HSA.CED.A.4

Front

What is the purpose of solving literal equations?

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The purpose is to express one variable in terms of others, which is useful in various applications such as physics and engineering.

Tags

CCSS.HSA.CED.A.4