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SHSAT Math · Algebra

Solving Equations Practice

Solve linear and multi-step equations. 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

Solve for xx: 7x−2=−307x - 2 = -30
  • Ax=−6x = -6
  • Bx=−4x = -4
  • Cx=4x = 4
  • Dx=−28x = -28
Show answer and explanation

Answer: B

Add 22 to both sides: 7x=−287x = -28. Divide by 77: x=−4x = -4.

Question 2

Solve for xx: 3x−2=223x - 2 = 22
  • Ax=−8x = -8
  • Bx=24x = 24
  • Cx=6x = 6
  • Dx=8x = 8
Show answer and explanation

Answer: D

Add 22 to both sides: 3x=243x = 24. Divide by 33: x=8x = 8.

Question 3

Solve: 3x=183x = 18
  • A54
  • B6
  • C15
  • D21
Show answer and explanation

Answer: B

To solve 3x=183x = 18, divide both sides by 3: x=18÷3=6x = 18 \div 3 = 6. A common mistake is to subtract 3 from both sides (getting 15), add 3 (getting 21), or multiply (getting 54). When a variable is multiplied by a number, you isolate it by dividing both sides by that number.

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More math topics

ExpressionsInequalitiesSystems of EquationsFunctions & SequencesPolynomials & QuadraticsFractions & DecimalsExponents & RadicalsFactors & MultiplesNumber PropertiesOrder of Operations