Math II · A-REI.4.b

Solve quadratics by inspection, square roots, completing the square, formula, and factoring; express complex solutions.

Solve quadratics by inspection, square roots, completing the square, formula, and factoring; express complex solutions.

Concept Algebra

Domain Reasoning with Equations and Inequalities

Problem Types

Problem Templates In This Objective

14 problem types are attached to this objective. The full web app handles practice, answers, hints, and walkthroughs.

Template 1

Solve a monic quadratic equation by factoring the trinomial and using the zero-product property

4 variants

Template 2

Solve a non-monic quadratic equation by factoring a trinomial and using the zero-product property

4 variants

Template 3

Solve a difference-of-squares equation by factoring and using the zero-product property

4 variants

Template 4

Solve a quadratic equation by taking square roots

4 variants

Template 5

Solve a quadratic equation by completing the square

4 variants

Template 6

Solve a quadratic equation using the quadratic formula

4 variants

Template 7

Use the discriminant to classify the solutions of a quadratic equation

4 variants

Template 8

Solve a quadratic equation with complex solutions by completing the square and writing the answers using i

4 variants

Template 9

Choose the most efficient method for solving a quadratic equation

4 variants

Template 10

Solve a quadratic in factored form using the zero-product property

4 variants

Template 11

Interpret zeros of a quadratic model in context

4 variants

Template 12

Reject quadratic solutions that do not make sense in context

4 variants

Template 13

Find a missing coefficient in a quadratic equation when one solution is given

4 variants

Template 14

Use the solutions of a quadratic function to identify the graph's x-intercepts

4 variants