4.10 Practice - 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.

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CCSS.HSA.CED.A.4

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How do you isolate a variable in an equation?

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To isolate a variable, you perform inverse operations to get the variable on one side of the equation by itself.

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CCSS.6.EE.B.7

Front

What is the first step to solve the equation 6x + 11y = -154 for y?

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The first step is to subtract 6x from both sides of the equation.

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CCSS.6.EE.C.9

Front

If P = 2πr, how do you solve for r?

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To solve for r, rearrange the equation to r = P / (2π).

Tags

CCSS.HSA.CED.A.4

Front

What is the formula for the volume of a rectangular prism?

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The formula for the volume V of a rectangular prism is V = lwh, where l is the length, w is the width, and h is the height.

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CCSS.7.G.B.6

Front

How do you solve the equation am = n + p for a?

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To solve for a, rearrange the equation to a = (n + p) / m.

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 to manipulate it algebraically to express one variable in terms of others.

Tags

CCSS.HSA.CED.A.4

Front

What is the importance of inverse operations in solving equations?

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Inverse operations are crucial because they allow you to undo operations and isolate variables.

Tags

CCSS.7.EE.B.4A

Front

What is the process of solving for a variable in a formula?

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The process involves using algebraic techniques to manipulate the formula until the desired variable is isolated.

Tags

CCSS.HSA.CED.A.4

Front

What is the significance of isolating a variable in an equation?

Back

Isolating a variable allows you to express it in terms of other variables, which is essential for solving application-based problems.

Tags

CCSS.HSA.CED.A.4