Rearranging Formulas Worksheet
Grade 12 Math worksheet focusing on rearranging algebraic formulas to solve for different variables.
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Rearranging Formulas
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Read each question carefully and rearrange the given formula to solve for the indicated variable. Show all your work.
1. Rearrange the formula for the area of a rectangle, A = lw, to solve for the width (w).
2. The formula for simple interest is I = Prt. Rearrange it to solve for the principal amount (P).
3. Given the formula for the perimeter of a rectangle, P = 2(l + w), solve for the length (l).
4. Rearrange the formula for the sum of an arithmetic series, S_n = n/2 (2a + (n-1)d), to solve for the first term (a).
5. The formula for the volume of a sphere is V = (4/3)πr³. Rearrange it to solve for the radius (r).
6. Given the Pythagorean theorem, c² = a² + b², solve for side 'a'.
7. Which of the following is the correct rearrangement of the formula F = ma to solve for 'a'?
a = F/m
a = m/F
a = F - m
a = F + m
8. Rearrange the formula v = u + at to solve for 't'.
t = (v - u) / a
t = (u - v) / a
t = v / (u + a)
t = a / (v - u)
9. To solve the formula E = mc² for 'm', you would divide both sides by .
10. When rearranging V = IR to solve for R, the variable 'I' is to the other side.
11. Rearrange the quadratic formula, x = [-b ± sqrt(b² - 4ac)] / 2a, to solve for 'c'.