Algebra 2 Practice Test
Free Algebra 2 Practice Test (Timed, 50 Questions)
Take a full-length, timed Algebra 2 practice test right here. You get 50 questions in 150 minutes, a countdown timer, instant percent scoring with a proficiency level, a breakdown by topic, and full step-by-step solutions for every question — covering complex numbers, polynomials, rational and radical functions, exponentials and logarithms, conic sections, sequences and series, matrices, and probability.
📝 Algebra 2 Formula Reference Keep handy while you practice
Complex Numbers
- i² = −1 · i = √−1
- Conjugate of a + bi = a − bi
- Modulus |a + bi| = √(a² + b²)
- Divide multiply by the conjugate
Quadratics & Polynomials
- Quadratic formula
x = [ −b ± √(b²−4ac) ] / 2a - Discriminant b² − 4ac
- Vertex x x = −b / 2a
- Remainder theorem remainder of P(x)÷(x−a) = P(a)
Exponentials & Logarithms
- logb(xy) = logbx + logby
- logb(x/y) = logbx − logby
- logb(xn) = n·logbx
- Form bx = y ↔ logby = x
- Growth / decay y = a(1 ± r)t
Sequences & Series
- Arithmetic an = a1 + (n−1)d
- Arithmetic sum Sn = (n/2)(a1 + an)
- Geometric an = a1·r(n−1)
- Geometric sum Sn = a1(1−rn)/(1−r)
Conic Sections
- Circle (x−h)² + (y−k)² = r²
- Ellipse (x−h)²/a² + (y−k)²/b² = 1
- Hyperbola (x−h)²/a² − (y−k)²/b² = 1
- Parabola y = a(x−h)² + k
Matrices, Stats & Probability
- 2×2 determinant ad − bc
- z-score z = (x − μ) / σ
- Combinations ₙCₕ = n! / (r!(n−r)!)
- Binomial ₙCₖ pk(1−p)n−k
Keep this reference handy while you practice. On the real test, check which formulas your state or course provides — many expect you to know the quadratic, log, and conic-section formulas by heart.
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