Understanding Equations and Solving for Variables

The video tutorial guides viewers through translating a word problem into an equation and solving it. Trevor bought a bookcase on sale for $480, which was three-fifths of its original price. The task is to find the original price using the variable p. The equation 3/5p = 480 is formed, and the solution involves multiplying both sides by the reciprocal of 3/5 to isolate p. The original price is calculated to be $800, and the solution is verified by substituting back into the equation.

What was the sale price of the bookcase Trevor bought?

• $480

• $800

• $720

• $600

What fraction of the original price was the sale price?

• One-half

• Four-fifths

• Three-fifths

• Two-fifths

Which variable is used to represent the original price of the bookcase?

• p

• z

• x

• y

What equation represents the relationship between the sale price and the original price?

• (3/5)p = 480

• p/3 = 480

• (5/3)p = 480

• p = 480

What is the reciprocal of three-fifths?

• Five-fourths

• Two-thirds

• Three-fifths

• Five-thirds

What operation is used to isolate p in the equation?

• Division

• Subtraction

• Multiplication

• Addition

What is the original price of the bookcase after solving the equation?

• $480

• $600

• $800

• $720

What common factor is used to simplify the multiplication in the equation?

• Three

• Five

• Two

• Four

How do you verify the solution to the equation?

• By checking the original equation

• By guessing

• By asking a friend

• By using a calculator

What is the result of substituting 800 for p in the equation (3/5)p = 480?

• 600

• 720

• 480

• 800