Four Form Test

This worksheet gives students a full review of proportional and non-proportional relationships by presenting them in four different forms: tables, equations, graphs, and real-world situations. Students must classify each relationship correctly no matter how the information is presented. That makes this an excellent end-of-topic worksheet because it checks whether students truly understand the concept instead of relying on one familiar format.

For a parent, the best way to support this worksheet is to remember that each form has its own quick test. Tables use a constant y/x ratio. Equations should look like y = kx. Graphs must pass through the origin. Real-world situations should start at zero with no initial fee or amount.

Learning Goals

• Classify Tables: Students check whether y/x stays constant.
• Classify Equations: Learners recognize y = kx as proportional.
• Classify Graphs: Students check whether the line passes through (0,0).
• Classify Situations: Learners identify whether there is a starting amount.
• Connect Multiple Representations: Students see that the same concept can appear in several forms.
• Build Cumulative Understanding: Learners use all major proportionality tests in one worksheet.

Parent-Friendly Teaching Tips

Use the correct question for each section:

• Table: Does y/x stay the same?
• Equation: Is it exactly y = kx?
• Graph: Does the line go through the origin?
• Situation: Does it start at zero?

For example:

y = 2.5x

This is proportional.

But:

y = 4x + 3

This is non-proportional because of the +3.

A graph that passes through (0,0) can be proportional.

A delivery service with a $6 starting fee plus $2 per mile is non-proportional.

Why This Worksheet Helps

• Provides a True Cumulative Review: Students use every major test for proportionality.
• Builds Transfer: Learners apply one concept across four representations.
• Prepares for Tests: Mixed-form questions are common on assessments.
• Strengthens Conceptual Understanding: Students see the shared structure behind tables, equations, graphs, and situations.
• Supports Algebra Readiness: The worksheet connects directly to linear relationships and functions.

The real value of this worksheet is that it teaches students to recognize proportional relationships in any form. Constant ratios, y = kx equations, graphs through the origin, and zero-start situations all describe the same basic idea. For parents, the best summary is: “Different pictures, same rule: the relationship must keep the same rate and start at zero.”