SAT Math: Systems of Equations (Drill 1)

About This Drill

SAT Math: Systems of Equations (Drill 1) is a Math practice drill covering Systems of Equations. It contains 5 original questions created by Brian Stewart, a Barron's test prep author with over 20 years of tutoring experience.

SAT systems of equations questions involve solving two or more equations with two or more unknowns. You may use substitution or elimination, or recognize special cases where a system has no solution or infinitely many solutions. This drill includes both pure and applied problems.

Questions in This Drill

1. y = 2x + 1 and 3x + y = 16. What is the value of x in the solution to the system?
2. A movie theater sold 350 tickets. Adult tickets cost $12 each and child tickets cost $7 each. Total revenue was $3,400. How many adult tickets were sold?
3. 4x + 6y = 18 and 2x + 3y = 12. How many solutions does this system have?
4. 5x − 2y = 2 and 3x + 2y = 14. What is the value of y?
5. 6x − 9y = 12 and 2x − 3y = 4. How many solutions does this system have?