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MA.912.AR.3.1 · Non-linear Relationships

Writing and Solving Quadratic Equations: Sample Algebra 1 EOC Questions

Students solve one-variable quadratics by factoring, by completing the square, and with the quadratic formula, and they write one from a real-world setup such as an area or a projectile problem. Every solution stays in the real number system.

How the Algebra 1 EOC tests this benchmark

The largest benchmark bank in Algebra 1 and one of the most represented on the EOC. Given quadratics are never in the bare form x squared equals a constant, so a square root alone is not enough. Answers of no real solution are a legitimate outcome, and complex roots are never computed. The quadratic formula is on the reference sheet; the slope formula is not.

Skills students need

  • Solve a quadratic by factoring
  • Solve by completing the square
  • Apply the quadratic formula
  • Recognize when there is no real solution

Try 6 real MA.912.AR.3.1 questions

These come straight from Algebro's Algebra 1 question bank, easiest first. Answer one, check it, then move to the next.

Question 1 of 6

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Question 1EasyMultiple Choice
An equation is shown. x2−8x+15=0x^2 - 8x + 15 = 0 Which method is the most efficient way to solve the equation?

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MA.912.AR.3.4

Writing a Quadratic Function from a Graph, Table, or Description

MA.912.AR.3.5

Writing a Quadratic from x-Intercepts and a Point

MA.912.AR.3.6

Vertex and Zeros of a Quadratic in Context

MA.912.AR.3.1: Solving Quadratics Practice | Algebro