Rearranging Equations Worksheet
A Grade 11 math worksheet focusing on rearranging algebraic equations to solve for specific variables, covering linear, quadratic, and literal equations.
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Rearranging Equations
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Read each question carefully and rearrange the given equation to solve for the indicated variable. Show all your work.
1. Rearrange the formula P = 2(L + W) to solve for L.
2. Given the equation 3x - 4y = 12, solve for y.
3. The formula for the area of a trapezoid is A = \frac{1}{2}h(b_1 + b_2). Rearrange this formula to solve for h: h = .
4. If F = ma, then a = .
5. Which of the following is the correct rearrangement of V = \frac{1}{3}\pi r^2 h to solve for h?
h = \frac{3V}{\pi r^2}
h = \frac{V}{3\pi r^2}
h = 3V\pi r^2
h = \frac{V\pi r^2}{3}
6. Rearrange the equation y = mx + b to solve for x.
7. Solve the equation A = P(1 + rt) for t.
8. The equation \frac{x}{a} + \frac{y}{b} = 1 can be rearranged to solve for x as x = a(1 - \frac{y}{b}).
True
False