Solving Equations and Formulas

The video tutorial covers solving literal equations, including finding variables in physics and geometry formulas, solving linear equations, and applying these skills to real-world problems like calculating time to fill a bucket with water drops. It also includes solving for variables in financial formulas.

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

• a = v^2 / r

• a = r / v^2

• a = r^2 / v

• a = v / r^2

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

• Add v to both sides

• Cross multiply and divide by a

• Divide both sides by a

• Multiply both sides by v

What is the formula for the volume of a cone?

• V = π r^2 h

• V = 1/3 π r^2 h

• V = 1/2 π r^2 h

• V = 2/3 π r^2 h

How do you isolate h in the volume formula of a cone?

• Subtract π r^2 from both sides

• Add π r^2 to both sides

• Divide both sides by π r^2

• Multiply both sides by π

What is the first step to solve for x in the equation 4px + 1 = 64?

• Multiply both sides by 4

• Subtract 1 from both sides

• Divide both sides by 4

• Add 1 to both sides

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

• -5

• 5

• -3

• 3

How do you solve for x in the equation -2bx - 5 = 16?

• Multiply both sides by -2

• Divide both sides by -2

• Subtract 5 from both sides

• Add 5 to both sides

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

• -1

• 3

• 1

• -3

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

• 7/2a

• 13/2a

• 1/2a

• 6/2a

How do you solve for x in the equation -ax - 20 = -14?

• Divide both sides by -a

• Subtract 20 from both sides

• Add 20 to both sides

• Multiply both sides by a