This set contains 30 hand-picked, high-difficulty multiple-choice questions covering AP Precalculus Units 1–4 — the exact question types that trip up strong students most often (sign errors, order-of-operations traps, domain restrictions, and reference-angle mistakes). Scroll down to view every question. Select an answer to see the full worked explanation immediately. Use the on-screen Desmos calculator exactly as you would on the real exam.
▸ Show / hide formula reference sheet| \( \sin(A\pm B)=\sin A\cos B \pm \cos A \sin B \) | \( \cos(A\pm B)=\cos A\cos B \mp \sin A \sin B \) |
| \( a^{m}\cdot a^{n}=a^{m+n} \) | \( \log_b(xy)=\log_b x+\log_b y \) |
| Point-slope: \( y-y_1=m(x-x_1) \) | Distance: \( d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \) |
| Polar: \( x=r\cos\theta,\ y=r\sin\theta \) | Vector magnitude: \( |\vec v|=\sqrt{v_1^2+v_2^2} \) |