Direct and Inverse Relationships Practice
Quantitative Skills · Graphs and Change
New numbers every set.
Choose one skill for 8 questions, or Mixed review for 12. Every set has new numbers.
No timer. Use scratch paper and a calculator. The tests from the lesson are below.
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Reference
Tests for relationships
- Direct: a straight line through the origin. Double x and y doubles; triple x and y triples.
- Ratio test: y ÷ x is the same in every row, and that value is the constant (aluminum: 2.7 g/cm³).
- Inverse: a curve that drops steeply, then flattens out and never touches the axes. Double x and y is cut in half.
- Product test: x × y is the same in every row (Boyle's law: PV = 400 kPa·L).
- Linear but not direct: a straight line that does not pass through the origin, like a beaker plus water that starts at 50 g.
- Squared: a curve that bends upward. Double x and y is multiplied by 4; triple x and y is multiplied by 9.
- Test by doubling x: see what happens to y.
Practice for the Direct and Inverse Relationships lesson in Quantitative Skills. Original ZornScience questions.
About this activity
Identify direct, inverse, squared and linear relationships from data tables and graph shapes, find the constant, and make predictions. Every set has new numbers, and each answer gets feedback right away.
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