Isolating Variables and Circle Measurements

This tutorial covers the concept of isolating variables in equations. It begins with a simple equation and progresses to more complex examples involving variables and fractions. The video also includes real-world applications, such as calculating the time for a drag racer to reach a certain speed and determining the diameter of a table using the area of a circle. The tutorial emphasizes following consistent steps to isolate variables, regardless of the complexity of the equation.

What is the first step in isolating the variable x in the equation 4x + 7 = 11?

• Multiply both sides by 4

• Divide both sides by 4

• Subtract 7 from both sides

• Add 7 to both sides

After subtracting 7 from both sides in the equation 4x + 7 = 11, what is the next step?

• Multiply both sides by 4

• Subtract 4 from both sides

• Divide both sides by 4

• Add 4 to both sides

In the equation ax + B = C, what is the equivalent of subtracting 7 in the equation 4x + 7 = 11?

• Subtracting B

• Subtracting C

• Subtracting A

• Subtracting X

What is the final expression for x when isolating it in the equation ax + B = C?

• x = (C + B) / A

• x = (C - B) / A

• x = (B - C) / A

• x = (A - B) / C

In the equation 7x + 3/4 = 6, what is the first step to isolate x?

• Subtract 3 from both sides

• Add 4 to both sides

• Multiply both sides by 4

• Divide both sides by 7

After multiplying both sides by 4 in the equation 7x + 3/4 = 6, what is the next step?

• Multiply both sides by 7

• Subtract 3 from both sides

• Divide both sides by 7

• Add 3 to both sides

What is the final value of x in the equation 7x + 3/4 = 6 after isolating x?

• x = 1

• x = 2

• x = 3

• x = 4

In the equation V = aT, what operation is needed to isolate T?

• Subtract a from both sides

• Add a to both sides

• Divide both sides by a

• Multiply both sides by a

If George's car accelerates at 140 mph per second, how long does it take to reach 100 mph?

• 0.5 seconds

• 0.71 seconds

• 1 second

• 1.5 seconds

What is the formula for the area of a circle?

• A = 2πr

• A = 2πd

• A = πr²

• A = πd²