Solving Literal Equations and Formulas

The video tutorial covers solving literal equations, which involve equations with multiple variables. It provides examples of isolating specific variables in various formulas, such as perimeter, simple interest, and volume. Techniques like using properties of equality and handling fractions are demonstrated to solve for variables like side length, principal, width, and height.

What is a literal equation?

• An equation with only constants

• An equation with no variables

• An equation with more than one variable

• An equation with only one variable

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CCSS.HSA.CED.A.4

In the equation P = 4s, what is the value of s when P = 20?

• 5

• 8

• 4

• 6

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CCSS.6.EE.A.2C

In the simple interest formula I = PRT, how do you solve for P?

• P = I - RT

• P = I * RT

• P = I / (RT)

• P = I + RT

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CCSS.HSA.CED.A.4

In the formula P = 2L + 2W, how do you isolate W?

• W = 2L - P

• W = P + 2L

• W = P / 2L

• W = (P - 2L) / 2

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CCSS.HSA.CED.A.4

How do you solve for y in the equation X + 5Y = 15?

• Y = (15 - X) / 5

• Y = 15 - X

• Y = 5 / (15 - X)

• Y = X / 15

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CCSS.6.EE.C.9

In the equation X = (A + B) / 2, what is the first step to solve for B?

• Add A to both sides

• Divide both sides by 2

• Subtract A from both sides

• Multiply both sides by 2

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CCSS.HSA.REI.B.3

How do you solve for M in the equation D = (C - M) / 2?

• M = 2D + C

• M = 2D - C

• M = C - 2D

• M = D / 2 - C

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CCSS.HSA.CED.A.4

What is the solution for X in the equation 3(2X + Y) = 5Y + 3?

• X = (2Y + 3) / 6

• X = (2Y + 3) / 5

• X = (2Y - 3) / 6

• X = (2Y - 3) / 5

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CCSS.HSA.REI.B.3

How do you solve for Y in the equation 3/Y = 7 + 2X?

• Y = 3 - (7 + 2X)

• Y = 3 * (7 + 2X)

• Y = 3 + 7 + 2X

• Y = 3 / (7 + 2X)

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CCSS.HSA.CED.A.4

In the volume formula V = (1/3)πR²H, how do you solve for H?

• H = 3V * (πR²)

• H = 3V / (πR²)

• H = V / (πR²)

• H = V * (πR²)

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CCSS.HSA.CED.A.4