SAT Math — Systems of Equations — Drill 3

About This Drill

SAT Math — Systems of Equations — Drill 3 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 cover substitution and elimination strategies, analyzing systems to determine the number of solutions, and interpreting what the intersection of two lines or curves represents in applied contexts.

Questions in This Drill

1. 2x − y = 7 and x + y = 5. What is the value of x?
2. A store sells notebooks for $4 and pens for $2. A customer buys 12 items totaling $36. How many notebooks did they buy?
3. For what value of a does the system 2x + 3y = 12 and 4x + ay = 15 have no solution?
4. y = 2x + 1 and y = 2x − 5. How many solutions does this system have?
5. 5x + 2y = 20 and 3x − 2y = 4. What is the value of y?