Solving Equations - Rearranging Equations – Literal Equations

Ronald incorrectly isolated the variable, y, in the Equation Ax + (1/2)By = C. His steps are shown in the table below. Circle the step that shows Ronald’s first mistake and then correct the error. Steps | Work | Corrections 1 | Ax + (1/2)By = C | 2 | (1/2)By = C - Ax | 3 | By = (C - Ax)/2 | 4 | y = (C - Ax)/2B | Step with first mistake: ____ Correction: ___________________________

• Step with first mistake: 4 Correction: y = (C - Ax)/B

• Step with first mistake: 3 Correction: y = (C - Ax)/B

• Step with first mistake: 2 Correction: y = (C - Ax)/2B

• Step with first mistake: 1 Correction: y = (C - Ax)/2B

The formula for the total surface area of a cylinder is, S, is S = 2B + Ph, where B is the area of the base, P is the perimeter of the base, and h is the height of the cylinder. Rearrange the formula for the surface area of a cylinder to isolate the variable h.

• h = (S - 2B)/P

• h = (S + 2B)/P

• h = (S - P)/2B

• h = (2B - S)/P

The formula for force, F, is mass, m, times acceleration, a, or F = ma. Solve for m.

• m = F/a

• m = a/F

• m = F - a

• m = a * F

The formula C = 2πr is used to find the circumference, C, of a circle with radius r. Solve the equation for the radius, r.

• r = C/(2π)

• r = 2π/C

• r = C × 2π

• r = 2C/π

The formula to convert degrees to Fahrenheit, F, into degrees Celsius, C, is C = 9/5 (F - 32). Solve for F.

• F = (5C/9) + 32

• F = (9C/5) + 32

• F = (5C/9) - 32

• F = (9C/5) - 32

Solve for r. q = r - s.

• r = q + s

• r = q - s

• r = s - q

• r = q / s

Solve for c. A = (a + b + c)/3.

Solve for h. A = 1/2 h(a + b).

Solve for d. (2/5)(d + 1) = y.