SAT Math: Nonlinear Equations (Drill 1)

About This Drill

SAT Math: Nonlinear Equations (Drill 1) 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 systems combining a linear and a quadratic equation, radical equations, rational equations, and higher-degree polynomials. Remember to check for extraneous solutions introduced by squaring or clearing denominators.

Questions in This Drill

1. y = x + 2 and y = x². The system of equations above has two solutions. What is the sum of the y-coordinates of those solutions?
2. If √3x + 1 = 5, what is the value of x?
3. What is the solution to √x + 3 = x − 3?
4. If 6/(x − 1) = 3, what is the value of x?
5. y = x² + 1 and y = 3. How many solutions does the system of equations above have?