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SHSAT Math · Algebra

Systems of Equations Practice

Solve systems using substitution and elimination. This is one of the skills tested on the SHSAT; the 2026 exam is computer-based with 50 Math questions in a 90-minute section. Try the samples below, then practice the full topic with instant feedback and explanations.

Free sample questions

Question 1

If y=2xy = 2x and x+y=9x + y = 9, what is xx?
  • A3
  • B6
  • C4.5
  • D9
Show answer and explanation

Answer: A

Substitute: x+2x=9, 3x=9, x=3. B finds y. C doesn't divide. D divides 9 by 2.

Question 2

If x+y=−1x + y = -1 and x−y=9x - y = 9, what is the value of xx?
  • Ax=−5x = -5
  • Bx=4x = 4
  • Cx=8x = 8
  • Dx=5x = 5
Show answer and explanation

Answer: B

Add the two equations: 2x=82x = 8, so x=4x = 4.

Question 3

If x+y=−9x + y = -9 and x−y=1x - y = 1, what is the value of xx?
  • Ax=−4x = -4
  • Bx=−8x = -8
  • Cx=−3x = -3
  • Dx=−5x = -5
Show answer and explanation

Answer: A

Add the two equations: 2x=−82x = -8, so x=−4x = -4.

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More math topics

ExpressionsSolving EquationsInequalitiesFunctions & SequencesPolynomials & QuadraticsFractions & DecimalsExponents & RadicalsFactors & MultiplesNumber PropertiesOrder of Operations