Manipulating Formulas Worksheet
Grade 9 Math worksheet focusing on rearranging algebraic formulas to solve for different variables.
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Manipulating Formulas
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Read each question carefully and rearrange 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 (P).
1. If a = b + c, then b = .
2. If y = mx + c, then x = .
1. Which of the following is the correct rearrangement of P = 2l + 2w to solve for l?
l = P - 2w
l = (P - 2w) / 2
l = P/2 - w
l = 2P - 2w
2. The formula for the volume of a cone is V = (1/3)πr²h. Which of the following correctly solves for h?
h = 3V / (πr²)
h = V / (3πr²)
h = 3Vπr²
h = (3Vπ) / r²
1. The formula for the surface area of a cylinder is A = 2πrh + 2πr². Rearrange this formula to solve for h.
2. The formula for kinetic energy is KE = (1/2)mv². Rearrange this formula to solve for v.
1. To solve for 'a' in the equation F = ma, you would multiply both sides by m.
True
False
2. In the formula d = rt, if you want to solve for t, you should divide both sides by r.
True
False