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WorksheetsSolving Equations - Rearranging Equations – Literal Equations
Total questions: 14
Worksheet time: 28mins
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 to find the kinetic energy of an object measured in joules, E, is E=21mv2 , where m represents the mass of the object in kilograms and v represents velocity (or speed) of the object in meters per second. Rearrange the formula to isolate the variable m.
m=2E/v2
m=2Ev2
m=2v2E
m = 21Ev2
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.
(a)
Solve for h. A = 1/2 h(a + b).
(a)
Solve for d. (2/5)(d + 1) = y.
(a)
Solve for p. kn + mp = q.
p = (q - kn)/m
p = (q + kn)/m
p = (q - kn)/m
p = (q + kn)/m
The formula for the area of a rectangle is A = lw, where l is the length and w is the width. Solve for w.
w = A + l
w = A/l
w = l/A
w = A - l
The formula for the volume of a sphere is V = (4/3)πr^3. Solve for r.
r = (3V/4π)^(1/3)
r = (4π/(3V))^(1/3)
r = (V/4π)^(1/3)
r = (3V/(4π))^(1/3)
The formula for the perimeter of a rectangle is P = 2l + 2w. Solve for l.
l = (P - 2w)/2
l = (P + 2w)/2
l = P/2 - w
l = P/2 + w
