What is the main goal when solving for a variable in a literal equation?

• To find a numerical value for the variable.

• To express the variable as an expression involving other numbers and variables.

• To simplify the equation to its shortest form.

• To identify all the variables present in the equation.

To solve the equation y = mx + b for x, what is the first step to isolate x?

• Divide both sides by m.

• Add b to both sides.

• Subtract b from both sides.

• Multiply both sides by m.

After subtracting 'b' from both sides in the equation y = mx + b, what is the next step to solve for x?

• Add 'm' to both sides.

• Subtract 'm' from both sides.

• Divide both sides by 'm'.

• Multiply both sides by 'm'.

To solve the equation ax + by = c for y, what is the first step to isolate the term with y?

• Add ax to both sides.

• Subtract ax from both sides.

• Divide both sides by b.

• Multiply both sides by b.

When solving the equation A = 1/2 h(b + c) for b, what is the initial step to remove the 1/2 h from the right side?

• Distribute 1/2 h into (b + c).

• Subtract 1/2 h from both sides.

• Multiply both sides by the reciprocal of 1/2 h.

• Divide both sides by (b + c).

What is the result when solving the equation A = πr² for r?

• r = A/π

• r = √(A/π)

• r = Aπ

• r = (A/π)²

What is the first step to isolate 'y' in the equation 2 = x / (y - z)?

• Distribute 2 on the left side.

• Add z to both sides.

• Multiply both sides by (y - z).

• Divide both sides by x.

After multiplying both sides by (y - z) and distributing, resulting in 2y - 2z = x, what is the next step to solve for y?

• Divide both sides by 2.

• Subtract x from both sides.

• Add 2z to both sides.

• Multiply both sides by y.

When solving R(r₁ + r₂) = r₁r₂ for r₂, what is the result after distributing R and moving all terms with r₂ to one side?

• Rr₁ = r₂(r₁ - R)

• Rr₁ = r₂(r₁ + R)

• Rr₁ = r₁r₂ + Rr₂

• Rr₁ = r₁r₂ / R

What is the final expression for r₂ when solving R(r₁ + r₂) = r₁r₂ for r₂?

• r₂ = (r₁ - R) / Rr₁

• r₂ = Rr₁ / (r₁ - R)

• r₂ = Rr₁ - r₁

• r₂ = Rr₁ + r₁