Solving Equations and Formulas

The video tutorial covers solving literal equations, focusing on making a variable the subject of the formula. It includes examples such as solving for r in centripetal acceleration, h in the volume of a cone, and x in linear equations. Additionally, it demonstrates calculating time for water dripping and solving for a and r in given formulas. The tutorial emphasizes algebraic manipulation and problem-solving skills.

What is the formula for centripetal acceleration in terms of velocity and radius?

• a = v^2 / r

• a = r / v^2

• a = v / r^2

• a = r^2 / v

How do you solve for the radius r in the centripetal acceleration formula?

• r = v / a^2

• r = a^2 / v

• r = a / v^2

• r = v^2 / a

What is the formula for the volume of a cone?

• V = πr^2h

• V = 1/2 πr^2h

• V = 2/3 πr^2h

• V = 1/3 πr^2h

How do you solve for the height h in the volume formula of a cone?

• h = 3V / (πr^2)

• h = V / (πr^2)

• h = V / (2πr^2)

• h = 2V / (πr^2)

In the equation 4px + 1 = 64, what is the first step to solve for x?

• Multiply both sides by 4

• Subtract 1 from both sides

• Add 1 to both sides

• Divide both sides by 4

What is the value of x when p = -5 in the equation 4px + 1 = 64?

• 3

• -3

• -15

• 15

In the equation -2bx - 5 = 16, what is the first step to solve for x?

• Divide both sides by -2

• Add 5 to both sides

• Subtract 5 from both sides

• Multiply both sides by -2

What is the value of x when b = 3 in the equation -2bx - 5 = 16?

• -1

• 1

• 3

• -3

In the equation 7 + 2ax = 13, what is the value of x?

• 6 / (2a)

• 13 / (2a)

• 6a / 2

• 7 / (2a)

In the equation -ax - 20 = -14, what is the value of x?

• 6 / -a

• -14 / a

• -6 / a

• 14 / a