Algebra for Physics Practice

10 problems · instant feedback · full explanations

Physics is applied algebra: isolate the unknown, keep both sides balanced, and check by substituting back. Every formula is an equation waiting to be rearranged.

Q1.
v = d/t. If v = 6 m/s and t = 2 s, what is d? (m)

Numerical answer (m) · Easy

Q2.
F = ma. If F = 30 N and m = 10 kg, what is a? (m/s²)

Numerical answer (m/s²) · Easy

Q3.
Solve v² = u² + 2as for a:

Multiple choice · Medium

Q4.
1/f = 1/do + 1/di with f = 0.2 m, do = 0.5 m. Find di. (m)

Numerical answer (m) · Medium

Q5.
Combine P = VI and V = IR to eliminate V:

Multiple choice · Medium

Q6.
T = 2π√(L/g) with T = 2 s, L = 1 m. Solve for g. (m/s²)

Numerical answer (m/s²) · Hard

Q7.
When rearranging an equation, any operation applied to one side must be applied to the other.

True / False · Easy

Q8.
Cross-multiplication turns a/b = c/d into ac = bd.

True / False · Medium

Q9.
Solve KE = ½mv² for v:

Multiple choice · Hard

Q10.
s = ut + ½at² with s = 20 m, u = 5 m/s, t = 2 s. Solve for a. (m/s²)

Numerical answer (m/s²) · Hard

Algebra for Physics Practice

Q1. v = d/t. If v = 6 m/s and t = 2 s, what is d? (m)

Q2. F = ma. If F = 30 N and m = 10 kg, what is a? (m/s²)

Q3. Solve v² = u² + 2as for a:

Q4. 1/f = 1/do + 1/di with f = 0.2 m, do = 0.5 m. Find di. (m)

Q5. Combine P = VI and V = IR to eliminate V:

Q6. T = 2π√(L/g) with T = 2 s, L = 1 m. Solve for g. (m/s²)

Q7. When rearranging an equation, any operation applied to one side must be applied to the other.

Q8. Cross-multiplication turns a/b = c/d into ac = bd.

Q9. Solve KE = ½mv² for v:

Q10. s = ut + ½at² with s = 20 m, u = 5 m/s, t = 2 s. Solve for a. (m/s²)