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TexasMaths

Quadratic Functions and Equations

4 dot points across 4 inquiry questions. Click any dot point for a focused answer with worked past exam questions where available.

How do you solve real-world problems modeled by quadratics, such as projectile motion and area, and interpret the solutions?

Solve real-world problems modeled by quadratic equations, including projectile motion and area, and interpret the reasonableness of solutions in context (TEKS A.8A, A.6B).
A STAAR Algebra I answer on real-world quadratic problems (TEKS A.8A, A.6B) - projectile height, maximum value at the vertex, area models - and interpreting solutions, including rejecting unrealistic answers.
10 min answer →

How do you use the quadratic formula to solve any quadratic, and what does the discriminant tell you about the number of real solutions?

Solve quadratic equations having real solutions by applying the quadratic formula, and use the discriminant to determine the number of real solutions (TEKS A.8A).
A STAAR Algebra I answer on the quadratic formula from the reference sheet (TEKS A.8A), substituting correctly, simplest radical form, and using the discriminant to count real solutions.
10 min answer →

How do you solve a quadratic equation by factoring, using the zero-product property, and how do the solutions relate to the graph?

Solve quadratic equations having real solutions by factoring, using the zero-product property, and relate the solutions to the zeros of the related quadratic function (TEKS A.8A).
A STAAR Algebra I answer on solving quadratic equations by factoring (TEKS A.8A), the zero-product property, setting the equation to zero first, and connecting solutions to the x-intercepts of the graph.
10 min answer →

How do you solve a quadratic equation by taking square roots and by completing the square?

Solve quadratic equations having real solutions by taking square roots and by completing the square (TEKS A.8A).
A STAAR Algebra I answer on solving quadratics by taking square roots (the plus-or-minus rule) and by completing the square (TEKS A.8A), with simplest radical form and the link to vertex form.
10 min answer →