Solving Literal Equations and Expressions

This video tutorial continues the lesson on literal equations, focusing on solving for specific variables in different equations. It covers examples of isolating variables in linear equations, such as solving for x in y = mx + b, solving for y in 3x + 4y = 20, and solving for C in F = 9/5C + 32. The tutorial emphasizes different methods of expressing solutions and the importance of recognizing equivalent forms.

What is the primary goal when solving a literal equation?

• To find the value of all variables

• To isolate a specific variable

• To simplify the equation

• To eliminate all fractions

In the equation y = mx + b, what is the first step to solve for x?

• Add b to both sides

• Multiply both sides by m

• Divide both sides by x

• Subtract b from both sides

How can the solution x = (y - b) / m be alternatively expressed?

• x = y / b - m

• x = y - b * m

• x = y * m - b

• x = y / m - b / m

What is the first step to solve 3x + 4y = 20 for y?

• Divide both sides by 3

• Multiply both sides by 4

• Subtract 3x from both sides

• Add 3x to both sides

How can the solution y = (20 - 3x) / 4 be simplified?

• y = 5 - 3/4x

• y = 5 - 3x / 4

• y = 5x - 3/4

• y = 5x - 3

In the equation x + y = 5, what is the first step to solve for y?

• Divide both sides by x

• Multiply both sides by y

• Add x to both sides

• Subtract x from both sides

What is the simplified form of y = (5 - x) / -1?

• y = -5 + x

• y = 5 + x

• y = -5 - x

• y = 5 - x

What is the first step to solve F = 9/5C + 32 for C?

• Divide both sides by 9/5

• Multiply both sides by 9/5

• Subtract 32 from both sides

• Add 32 to both sides

How do you isolate C in the equation F = 9/5C + 32?

• Multiply both sides by 5/9

• Add 9/5 to both sides

• Subtract 9/5 from both sides

• Divide both sides by 5/9

What is the alternative expression for C = 5/9(F - 32)?

• C = 9/5F + 160/9

• C = 5/9F - 160/9

• C = 5/9F + 160/9

• C = 9/5F - 160/9