Algebro

MA.912.AR.3.8 · Non-linear Relationships

Modeling Real-World Problems with Quadratic Functions: Sample Algebra 1 EOC Questions

Projectile paths, areas with a fixed perimeter, and revenue models are all quadratic. Students solve the problem, interpret the key features in the units of the story, and decide which part of the parabola the situation actually allows.

How the Algebra 1 EOC tests this benchmark

The equation or graph is always given, and any item that is only about the graph or its key features must sit in a real-world context. Constraint questions ask which domain values make sense, since negative time and negative length do not. Multiple choice and equation editor items are the usual formats.

Skills students need

  • Solve a real-world quadratic problem
  • Interpret the maximum or minimum in context
  • Determine reasonable domain constraints
  • Read a solution off a modeled parabola

Try 6 real MA.912.AR.3.8 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

Answer it and Algebro checks it instantly

Question 1EasyMultiple Choice
Figure: a coordinate plane from x = -0.5 to 4.5 and y = -4 to 36, showing the point (1, 16) and a parabola.
Height (feet)

Time (seconds)

A ball is thrown straight up from the ground. Its height in feet after tt seconds is h(t)=−16t2+32th(t) = -16t^2 + 32t, as shown in the graph. What is the maximum height the ball reaches?

Showcase extra: the real practice and quiz players do not have this button.

Master MA.912.AR.3.8 with personalized practice

These 6 questions are the free showcase. Algebro runs 37,000+ total questions, with practice for every one of the 43 Algebra 1 benchmarks and a full-length 45-item adaptive EOC practice test with the on-screen scientific calculator. Take it, get a study plan that targets your gaps, and practice with an AI tutor that explains every step.

Start the Free Trial

More Algebra 1 non-linear relationships benchmarks

MA.912.AR.4.1

Writing and Solving Absolute Value Equations

MA.912.AR.4.3

Graphing Absolute Value Functions and Key Features

MA.912.AR.5.3

Classifying Exponential Growth and Decay

MA.912.AR.3.8: Quadratic Models Practice | Algebro