Solving Literal Equations in Saxon Algebra 1

This video tutorial covers solving literal equations, which are equations with more than one variable. It provides a step-by-step guide on how to solve these equations using inverse operations. The tutorial includes examples of solving for different variables, such as Y, X, and P, and applies these skills to real-world problems like temperature conversion and calculating speed and fuel economy.

What is the first step in solving a literal equation?

• Identify the operations on the variable

• Locate the variable you are asked to solve for

• Use inverse operations

• Combine like terms

In the equation 3y = 10 - 2x, what operation is used to isolate y?

• Multiply both sides by 3

• Subtract 2x from both sides

• Add 2x to both sides

• Divide both sides by 3

When solving for x in the equation y = -3x - 5, what is the final step?

• Add 5 to both sides

• Subtract 5 from both sides

• Divide both sides by -3

• Multiply both sides by -3

In the equation 3M + 2N = 8, what is the result after isolating N?

• N = 4 - 3M/2

• N = 8/2 - 3M

• N = 8 - 3M

• N = 4 - 3M

What is the correct form of the equation after isolating P in 3P + 2A - 5 = 6A?

• P = 4A/3 + 5/3

• P = 4A + 5/3

• P = 4A - 5/3

• P = 4A/3 - 5/3

How do you isolate the radius in the formula C = 2πr when C = 24?

• Divide both sides by 2

• Multiply both sides by π

• Subtract π from both sides

• Divide both sides by 2π

What is the Fahrenheit temperature when the Celsius temperature is 20 using the formula C = 5/9(F - 32)?

• 77°F

• 50°F

• 68°F

• 60°F

How many inches is the height of a rectangular prism with a volume of 6 cubic feet, a length of 24 inches, and a width of 12 inches?

• 60 inches

• 48 inches

• 36 inches

• 24 inches

What is the average speed needed for a 270-mile trip in 4.5 hours?

• 60 mph

• 50 mph

• 65 mph

• 55 mph

How many gallons of fuel does Felicia need for a 350-mile trip if her car's fuel rating is 28 miles per gallon?

• 10 gallons

• 17.5 gallons

• 12.5 gallons

• 15 gallons