Isolating Variables in Equations

The video tutorial by Kumar focuses on isolating variables in various mathematical and physics formulas. It covers nine examples, each demonstrating how to rearrange equations to solve for a specific variable. The examples include formulas like F=ma, PV=nRT, y=mx+b, and others. The tutorial provides step-by-step instructions for isolating variables, emphasizing strategies like division, multiplication, and taking reciprocals. The video concludes with a challenge to derive the quadratic formula, encouraging viewers to apply the learned techniques.

What is the main goal when isolating a variable in a formula?

• To eliminate all variables

• To express the formula in terms of the isolated variable

• To simplify the formula

• To find the numerical value of the variable

In the formula F = Ma, how do you isolate 'a'?

• Divide both sides by M

• Divide both sides by F

• Multiply both sides by M

• Subtract M from both sides

How do you isolate 'T' in the equation PV = NRT?

• Add NR to both sides

• Subtract NR from both sides

• Divide both sides by NR

• Multiply both sides by N

In the equation y = MX + B, what is the first step to isolate 'M'?

• Add B to both sides

• Subtract B from both sides

• Multiply both sides by X

• Divide both sides by X

What operation is used to isolate 'T' in V = D/T?

• Addition

• Subtraction

• Multiplication

• Division

In the formula 2as = v^2 - u^2, what is the next step after adding u^2 to both sides?

• Divide by 2a

• Multiply by 2a

• Subtract 2as from both sides

• Take the square root of both sides

How do you isolate 'G' in the equation T = 2π√(L/G)?

• Multiply both sides by 2π

• Divide both sides by 2π

• Square both sides

• Take the square root of both sides

In the equation 1/a = 1/b + 1/c, what is the first step to isolate 'b'?

• Divide both sides by a

• Add 1/c to both sides

• Subtract 1/c from both sides

• Multiply both sides by a

What is the first step to isolate 'X' in the vertex form equation y = a(X - H)^2 - K?

• Add K to both sides

• Subtract K from both sides

• Multiply both sides by a

• Divide both sides by a

What is the quadratic formula used to isolate 'X' in a standard quadratic equation?

• X = B ± √(B^2 - 4AC) / A

• X = -B ± √(B^2 + 4AC) / A

• X = B ± √(B^2 + 4AC) / 2A

• X = -B ± √(B^2 - 4AC) / 2A