A-REI.B. Solve equations and inequalities in one variable.

• Integer Solutions to Inequality

A-REI.B.3. Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.

• Reasoning with linear inequalities

A-REI.B.4. Solve quadratic equations in one variable.

• Two Squares are Equal
• Vertex of a parabola with complex roots

A-REI.B.4.a. Use the method of completing the square to transform any quadratic equation in $x$ into an equation of the form $(x - p)^2 = q$ that has the same solutions. Derive the quadratic formula from this form.

• Building a General Quadratic Function
• Completing the square
• Visualizing Completing the Square

A-REI.B.4.b. Solve quadratic equations by inspection (e.g., for $x^2 = 49$), taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as $a \pm bi$ for real numbers $a$ and $b$.

• Braking Distance
• Quadratic Sequence 1
• Quadratic Sequence 2
• Quadratic Sequence 3
• Springboard Dive
• Zero Product Property 4