MA.912.F.1.3 · Expressions, Functions, and Data Analysis

Average Rate of Change Over an Interval: Sample Algebra 1 EOC Questions

Average rate of change is the slope between two points on a curve, and it answers questions like how fast a population grew per year between year 2 and year 6. Students compute it from a graph, an equation, or a table and then explain it in the units of the situation.

How the Algebra 1 EOC tests this benchmark

EOC items are required to use a non-linear real-world situation, because a linear one would just be the slope. Exponential items never use an interval of a single unit starting at zero. Expect equation editor items asking for the rate with units implied by the context and multiple choice items testing the interpretation sentence.

Skills students need

Compute average rate of change from two points on a curve
Find the rate from a table over a stated interval
Interpret the rate with the correct units
Compare rates of change over two different intervals

Try 6 real MA.912.F.1.3 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 the height of a bean plant, in centimeters,

w

weeks after it sprouted. What is the average rate of change of the height from week

1

to week

3

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

Question 5HardMatching

Each row names a quantity and the function that models it. Match each function to its average rate of change from

x = 0

x = 2

Pick one match in each row, then check.

	A. $90$	B. $35$	C. $2$
Patch area $A(x) = x^2$
Bacteria $B(x) = 60(2)^x$
Rocket height $H(x) = -5x^2 + 45x$

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More Algebra 1 expressions, functions, and data benchmarks

MA.912.F.1.6

Comparing Key Features of Linear and Nonlinear Functions

MA.912.F.1.8

Choosing the Best Model: Linear, Quadratic, or Exponential

MA.912.F.2.1

Transformations of a Function Graph or Table