Manipulating Formulas Worksheet
Grade 11 Math worksheet focusing on rearranging and solving algebraic formulas for different variables.
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Manipulating Formulas
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Read each question carefully and manipulate the given formulas to solve for the indicated variable. Show all your work.
1. The formula for the area of a rectangle is A = lw. Rearrange this formula to solve for the width (w).
2. The formula for simple interest is I = Prt. Rearrange this formula to solve for the principal amount (P).
3. Given the formula V = IR, if we solve for R, the equation becomes R = .
4. For the formula F = (9/5)C + 32, to solve for C, the first step is to subtract 32 from both sides, then multiply by .
5. The formula for the volume of a cylinder is V = πr²h. Solve this formula for the height (h).
6. Density is calculated using the formula D = m/V, where m is mass and V is volume. Rearrange this formula to solve for the mass (m).
7. Given the formula A = P(1 + rt), which of the following correctly solves for t?
t = (A - P) / Pr
t = Ar - P
t = (A - Pr) / P
t = (A - 1) / Pr
8. The quadratic formula is x = (-b ± √(b² - 4ac)) / 2a. Attempt to solve this formula for 'a'. Explain why it is difficult or impossible to isolate 'a' in a simple linear form.