Manipulating Formulas Worksheet
Grade 7 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 follow the instructions to rearrange or solve the given formulas. Show all your work.
1. The formula for the area of a rectangle is A = lw. Rearrange the formula to solve for the width (w).
2. The formula for simple interest is I = Prt. Rearrange the formula to solve for the principal amount (P).
3. To solve for 'x' in the equation y = mx + b, the first step is to subtract from both sides.
4. If you have the formula d = rt and you want to find 't', you would both sides by 'r'.
5. 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
6. Given the formula V = Bh (Volume of a prism), what is 'h' if V = 100 cm³ and B = 25 cm²?
4 cm
25 cm
75 cm
125 cm
7. The formula for the circumference of a circle is C = 2πr. If the circumference of a circle is 31.4 units (use π ≈ 3.14), what is its radius (r)?
8. The formula for converting Celsius to Fahrenheit is F = (9/5)C + 32. Convert 20°C to Fahrenheit.