Quantitative Skills · Equations
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Choose one skill for 8 questions, or Mixed review for 12. Every set is new.
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Rearranging equations
- Solve for the variable with letters first. Substitute the numbers last.
- An equation is a balance: do the same step to both sides, using the opposite operation.
- Undo steps in reverse order: F = 1.8C + 32 becomes C = (F − 32)/1.8.
- A variable in the denominator: multiply both sides by it, then divide. D = m/V gives DV = m, so V = m/D.
- The triangle shortcut works only for three-letter formulas like A = BC, and only to check your work.
Rearranged formulas: t = d/v, a = F/m, m = DV, V = m/D, c = q/(mΔT), m = q/(cΔT), a = (vf − vi)/t, t = (xf − xi)/v.
Practice for the Rearranging Equations lesson in Quantitative Skills. Original ZornScience questions.
About this activity
Solve formulas for one variable with the opposite operation on both sides, undo steps in reverse order, then substitute and calculate. Every set is new, and each answer gets feedback right away.
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- Rearranging EquationsQuantitative Skills