Illustrative Mathematics Grade 7 Unit 1 Lesson 3 Solved Problems

Check each ratio comparison by rewriting values in the same form, then confirm consistency using tables or double number lines. This prevents mix-ups between part-to-part and part-to-whole relationships.

The solved tasks here focus on scaling, equivalent ratios, plus rate interpretation. Each example shows numeric substitution, clear labeling, and verification through a second method such as proportional tables.

Students should confirm results by reversing the calculation or testing a new value from the same ratio set. This reveals arithmetic slips early and supports accurate written explanations.

Teachers can use the worked solutions to align class discussion, compare student reasoning, and check representations across diagrams, tables, and verbal descriptions.