Manipulating Formulas Worksheet
Grade 10 Math worksheet on manipulating algebraic formulas to solve for different variables.
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Manipulating Formulas
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Read each question carefully and manipulate the given formula to solve for the indicated variable. Show all your steps.
1. The formula for the area of a rectangle is A = lw. Rearrange this formula to solve for the width (w).
2. Given the formula for simple interest, I = Prt, solve for the principal amount (P).
3. To solve the formula E = mc² for m, you must both sides by c².
4. When rearranging V = IR to solve for R, you should by I.
5. If F = ma, which of the following correctly solves for 'a'?
a = F - m
a = F + m
a = F / m
a = m / F
6. The formula for the perimeter of a square is P = 4s. How would you solve for 's'?
s = P - 4
s = P / 4
s = 4P
s = P + 4
7. The formula for the volume of a cylinder is V = πr²h. Solve this formula for the height (h).
8. Given the formula for the circumference of a circle, C = 2πr, solve for the radius (r).