SAT Math: Nonlinear Equations (Drill 4)

About This Drill

SAT Math: Nonlinear Equations (Drill 4) is a Math practice drill covering Nonlinear Equations. It contains 5 original questions created by Brian Stewart, a Barron's test prep author with over 20 years of tutoring experience.

SAT nonlinear equation questions involve solving quadratics by factoring or the quadratic formula, radical equations requiring extraneous solution checks, rational equations, substitution in higher-degree equations, and using the discriminant to find special solution conditions.

Questions in This Drill

1. If x² − 9 = 0, what is the sum of all possible values of x?
2. What are all the solutions to √3x + 7 = x + 1?
3. If 5/(x + 2) + 1 = 3, what is the value of x?
4. The equation x⁴ − 13x² + 36 = 0 can be solved by substitution. How many distinct real solutions does it have?
5. For what value of c does the equation x² − 10x + c = 0 have exactly one real solution?