Examples and practice
Algebra readiness
Back to lessonPractice section 1 · Questions 1–6
Complete the square with and without a leading coefficient · Solve a reciprocal equation using the quadratic formula · +4 more
Practice section 2 · Questions 7–12
Apply fractional and negative index laws · Use a positive exponential substitution · +4 more
Practice section 3 · Questions 13–18
Include both powers of a repeated linear factor · Combine a linear factor with an irreducible quadratic · +4 more
Practice section 4 · Questions 19–24
Control the square-root sign in a trigonometric substitution · Prove the triple-angle cosine identity · +4 more
Practice section 5 · Questions 25–30
Use the requested product rule · Keep the quotient-rule numerator order · +4 more
Practice section 6 · Questions 31–36
Complete the square · Find exact quadratic roots · +4 more
Practice section 7 · Questions 37–42
Simplify fractional indices · Solve with a common exponential base · +4 more
Practice section 8 · Questions 43–47
Prove a fourth-power trigonometric identity · Combine sine and cosine to prove bounds · +3 more