MA.912.F.1.8 · Expressions, Functions, and Data Analysis

Choosing the Best Model: Linear, Quadratic, or Exponential: Sample Algebra 1 EOC Questions

Given a story or a table of data, students decide which of the three Algebra 1 model families fits: a constant change means linear, a constant ratio means exponential, and a rise then fall means quadratic. This benchmark also carries the compound interest situations from the financial literacy strand.

How the Algebra 1 EOC tests this benchmark

Items present a written description or a table, never a bare graph, and they do not require writing the equation, only naming the model. That makes the reasoning explicit: students have to argue from the pattern of change. Multiple choice and drop-down items are typical, often with a follow-up asking why.

Skills students need

Recognize a constant difference as linear
Recognize a constant ratio as exponential
Recognize a maximum or minimum as quadratic
Justify a model choice from a table or a description

Try 6 real MA.912.F.1.8 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

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Question 1EasyMultiple Choice

The table shows a set of input-output values. Which type of function best models the values in the table?

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Question 6HardMatching

Match each situation to the type of function that best models it.

Pick one match in each row, then check.

	A.Linear	B.Quadratic	C.Exponential
A bacteria colony doubles every 20 minutes.
Rent rises $75 each year.
A fountain's water arc rises and then falls.
An account earns 5% compound interest each year.

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More Algebra 1 expressions, functions, and data benchmarks

MA.912.F.2.1

Transformations of a Function Graph or Table

MA.912.DP.1.2

Interpreting Data Distributions and Their Displays

MA.912.DP.1.4

Estimating Population Values and Margin of Error