Solving for Variables in Formulas

This video tutorial explains how to change the subject of a formula through various examples. It covers basic algebraic manipulations, such as solving for x in different equations, and extends to more complex scenarios involving Ohm's Law, density, temperature conversion, kinetic energy, electric force, and satellite orbit formulas. The video also includes advanced examples that require cross-multiplication and factoring. Throughout, the instructor provides step-by-step guidance on rearranging equations to isolate specific variables.

What is the first step to make x the subject in the equation y = x + 8?

• Divide both sides by 8

• Subtract 8 from both sides

• Multiply both sides by 8

• Add 8 to both sides

In the equation v = ir, how can you isolate the current (i)?

• Divide both sides by r

• Divide both sides by v

• Multiply both sides by r

• Subtract r from both sides

How do you make x the subject in the equation y = (2/5)x?

• Subtract 5/2 from both sides

• Add 5/2 to both sides

• Divide both sides by 5/2

• Multiply both sides by 5/2

What is the first step to isolate c in the Fahrenheit to Celsius conversion formula?

• Add 32 to both sides

• Multiply both sides by 9/5

• Divide both sides by 9/5

• Subtract 32 from both sides

In the kinetic energy formula, what operation is needed to solve for v?

• Square both sides

• Take the square root of both sides

• Multiply both sides by 2

• Divide both sides by 2

When cross-multiplying fractions, what is the first step to solve for x in the equation (x-b)/4 = (x-a)/5?

• Add 4 to both sides

• Multiply both sides by 5

• Cross-multiply the fractions

• Subtract 5 from both sides

In a circuit with two parallel resistors, how do you start solving for r1?

• Add 1/r2 to both sides

• Divide both sides by r1

• Subtract 1/r2 from both sides

• Multiply both sides by r1

What is the first step to solve for m in the satellite velocity formula?

• Divide both sides by g

• Take the square root of both sides

• Square both sides

• Multiply both sides by r

In the pendulum period formula, what should you do to isolate g?

• Cross-multiply the fractions

• Square both sides

• Divide both sides by 2π

• Multiply both sides by 2π

How do you solve for r in the electric force formula?

• Divide both sides by r²

• Multiply both sides by r²

• Divide both sides by r

• Multiply both sides by r