Algebra Calculator

How to Use the Algebra Calculator

1. Select your calculation type: choose "Linear Equation" (e.g., 2x + 3 = 7), "Quadratic Equation" (e.g., x² - 3x + 2 = 0), or "Simplify Expression" (e.g., 2x + 3x).
2. Enter the values in the provided fields (like coefficients a, b, c, or the expression).
3. Click "Calculate" to get your solution with step-by-step explanations instantly!

Common Algebra Mistakes to Avoid

1. Misapplying the Order of Operations (PEMDAS)
   • Mistake: Solving 2x + 3 * 4 as (2x + 3) * 4 instead of 2x + (3 * 4).
   • Fix: Follow PEMDAS—multiply first: 2x + 12.
2. Forgetting to Distribute in Equations
   • Mistake: In 2(x + 3) = 8, solving as 2x + 3 = 8 instead of distributing the 2.
   • Fix: Distribute properly: 2x + 6 = 8, then 2x = 2, so x = 1.
3. Ignoring Signs in Quadratic Equations
   • Mistake: For x² - 3x + 2 = 0, miscalculating the discriminant as (-3)² - 4(1)(2) by forgetting signs: 3 - 8 instead of 9 - 8.
   • Fix: Double-check signs: (-3)² - 4(1)(2) = 9 - 8 = 1.
4. Combining Unlike Terms When Simplifying
   • Mistake: Simplifying 2x + 3 as 5x by adding unlike terms.
   • Fix: Only combine like terms: 2x + 3 stays as is; 2x + 3x simplifies to 5x.
5. Dividing by Zero in Linear Equations
   • Mistake: In 0x + 5 = 10, attempting to solve for x by dividing by 0.
   • Fix: Recognize a = 0 means no solution (if 5 ≠ 10) or infinite solutions (if 5 = 10).