Distance, Fractions, and Equations

The video tutorial covers a practice SAT math question from the algebra and functions section. It involves determining the total distance of a trip based on given conditions. The instructor assigns a variable to represent the total distance, sets up an equation, and solves it by clearing fractions. The final solution reveals the total distance of the trip.

What section of the SAT does this math question belong to?

• Geometry

• Algebra and Functions

• Statistics

• Trigonometry

If Dave drove one-third of his trip on the first day, what fraction of the trip did he drive?

• 1/4

• 1/3

• 1/2

• 2/3

What variable is used to represent the total distance of Dave's trip?

• D

• X

• Z

• Y

How many miles did Dave drive on the second day?

• 120 miles

• 30 miles

• 90 miles

• 60 miles

What fraction of the trip did Dave still have to drive after the second day?

• 1/4

• 1/2

• 2/3

• 1/3

What is the least common multiple used to clear the fractions in the equation?

• 7

• 4

• 5

• 6

What is the product of 6 and 60 in the equation?

• 480

• 420

• 360

• 300

What is the purpose of multiplying both sides of the equation by 6?

• To simplify the equation

• To add more terms

• To increase the distance

• To change the variable

What operation is performed to isolate the variable X in the equation?

• Division

• Subtraction

• Addition

• Multiplication

What is the final value of X, representing the total distance of the trip?

• 420 miles

• 360 miles

• 300 miles

• 240 miles