Algebra - Solving Literal Equations

Front

What is a literal equation?

Back

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

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to move other terms to the opposite side of the equation.

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CCSS.7.EE.B.4A

Front

What is the first step to solve the equation P = 2L + 2W for W?

Back

Subtract 2L from both sides to isolate the term with W.

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CCSS.HSA.REI.B.3

Front

What is the formula for perimeter (P) of a rectangle in terms of length (L) and width (W)?

Back

The formula is P = 2L + 2W.

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CCSS.7.EE.B.4A

Front

If P = 2L + 2W, how do you solve for W?

Back

Rearrange the equation to W = (P - 2L) / 2.

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CCSS.HSA.CED.A.4

Front

What does it mean to solve for x in the equation y = mx + b?

Back

It means to express x in terms of y, m, and b.

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CCSS.HSA.REI.B.3

Front

What is the first operation to perform when solving y = mx + b for x?

Back

Subtract b from both sides.

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CCSS.HSA.REI.B.3

Front

Given the equation 15x + 1 = y, how do you solve for x?

Back

Subtract 1 from both sides and then divide by 15: x = (y - 1) / 15.

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CCSS.6.EE.C.9

Front

What is the inverse operation of addition?

Back

Subtraction.

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CCSS.2.NBT.B.5

Front

What is the inverse operation of multiplication?

Back

Division.

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CCSS.3.OA.C.7