Solving Literal Equations in Algebra

This video tutorial introduces algebra students to solving literal equations, which involve multiple variables. The instructor explains the concept and demonstrates solving equations for specific variables through various examples, including temperature conversion, volume calculation, and fuel economy. The focus is on isolating the desired variable and expressing it in terms of other variables or constants.

What is a literal equation?

• An equation with only one variable

• An equation with more than one variable

• An equation with no variables

• An equation with only constants

When solving a literal equation, what is the goal?

• To simplify the equation to zero

• To find a specific number

• To get a variable on a side by itself

• To eliminate all variables

In the equation 3m + 2n = 8, what is the first step to solve for n?

• Add 3m to both sides

• Subtract 3m from both sides

• Divide both sides by 2

• Multiply both sides by 2

After isolating 2n in the equation 3m + 2n = 8, what is the next step?

• Add 3m to both sides

• Multiply both sides by 2

• Subtract 8 from both sides

• Divide both sides by 2

In the equation 2x + 2y = 8, what is the first step to solve for x?

• Subtract 2y from both sides

• Divide both sides by 2

• Add 2y to both sides

• Multiply both sides by 2

What is the simplified form of x in the equation 2x = 8 - 2y?

• x = 4 + y

• x = 8 + y

• x = 4 - y

• x = 8 - y

What is the formula to convert Fahrenheit to Celsius?

• C = 5/9 * F + 32

• C = 9/5 * (F - 32)

• C = 5/9 * (F - 32)

• C = 9/5 * F + 32

If the Fahrenheit temperature is 86°F, what is the Celsius temperature?

• 20°C

• 35°C

• 25°C

• 30°C

How do you solve for the height (H) in the volume formula V = LWH?

• H = V * L * W

• H = V / (L * W)

• H = V - (L * W)

• H = V + L + W

If a car has a fuel economy of 28 miles per gallon and a trip is 350 miles, how many gallons of fuel are needed?

• 10 gallons

• 12.5 gallons

• 15 gallons

• 17.5 gallons