Understanding Basketball Court Dimensions and Problem Solving

This video tutorial covers problem-solving techniques in mathematics. It begins with an introduction to the steps involved in solving problems, such as reading the question, assigning variables, and setting up equations. The video then provides three examples: solving an equation involving 'six fewer than four times a number', finding consecutive apartment numbers, and calculating the dimensions of a basketball court using its perimeter. Each example demonstrates how to set up and solve equations to find the desired solution.

What is the first step in problem-solving according to the video?

• Read the question multiple times

• Assign variables to unknowns

• Set up an equation

• Solve the equation

In the example problem, what operation is used to represent 'six fewer than four times a number'?

• Division

• Multiplication

• Subtraction

• Addition

What is the value of x in the equation 4x - 6 = 78?

• 18

• 19

• 21

• 20

What does 'consecutively numbered' mean in the context of the apartment problem?

• Numbers are even

• Numbers are odd

• Numbers follow one after another

• Numbers are random

If the first apartment number is x, what is the next apartment number?

• x + 2

• x + 1

• x - 1

• x - 2

What is the sum of the two apartment numbers in the problem?

• 440

• 441

• 442

• 443

What is the perimeter of the basketball court in the problem?

• 268 feet

• 274 feet

• 270 feet

• 272 feet

If the width of the basketball court is x, what is the length?

• x + 36

• x + 34

• x + 32

• x + 30

What is the width of the basketball court if x equals 50?

• 51 feet

• 50 feet

• 49 feet

• 48 feet

What are the dimensions of the basketball court?

• 50 feet by 86 feet

• 50 feet by 84 feet

• 50 feet by 82 feet

• 50 feet by 80 feet