Algebro

MA.8.F.1.2 · Linear Relationships, Data Analysis, and Functions

Deciding Whether a Function Is Linear: Sample FAST Questions

A linear function graphs as a straight line, shows a constant rate of change in its table, and can be written as y = mx + b. 8th graders judge linearity from a graph, from an equation, and from an input-output table.

How the FAST tests this benchmark

The FAST asks this with reasoned four-option multiple choice, so students pick not just yes or no but the reason. Tables are the tricky case: one can fail because the rate of change is not constant, and another can fail because it is not a function at all.

Skills students need

  • Determine whether a graph shows a linear function
  • Determine whether an equation is linear
  • Check a table for a constant rate of change
  • Explain why a relationship is not linear

Try 6 real MA.8.F.1.2 questions

These come straight from Algebro's 8th grade pre-algebra 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
The table shows the monthly cost (in dollars) of a phone plan for a number of gigabytes. Could the input-output table represent a linear function?
Figure: a ratio table.

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

Master MA.8.F.1.2 with personalized practice

These 6 questions are the free showcase. Algebro's bank runs 22,000+ FAST-style questions across all 114 grade 6 to 8 benchmarks. Take the diagnostic, get a study plan that targets your gaps, and practice with an AI tutor that explains every step.

Start the Free Trial

More 8th grade linear relationships and functions benchmarks

MA.8.F.1.3

Where a Function Increases, Decreases, or Stays Constant

MA.8.AR.3.1

Telling Proportional Relationships from Other Linear Ones

MA.8.AR.3.2

Finding Slope from Graphs, Tables, and Descriptions

MA.8.F.1.2: Linear Functions Practice | Algebro