Proportional Relationships Flashcards

Grade 7 · Math · Flashcards

Review key vocabulary and concepts for proportional relationships with these study cards.

Flashcards

Proportional relationship: A relationship between two quantities where their ratio y/x is always the same constant value k
Constant of proportionality: The fixed ratio k in y = kx; found by dividing y ÷ x for any pair in the table
y = kx: The standard equation for a proportional relationship where k is the constant of proportionality
Unit rate: The amount of one quantity per one unit of another; equals the constant of proportionality k
Graph of y = kx: A straight line that always passes through the origin (0, 0)
How to test if a table is proportional: Divide each y-value by its x-value; if all quotients are equal, the relationship is proportional
Origin: The point (0, 0) on a graph; all proportional relationship lines must pass through here
Equivalent ratios: Ratios that simplify to the same value; e.g., 2:4 and 5:10 both simplify to 1:2
Cross multiplication: If a/b = c/d, then a × d = b × c; used to solve proportions for an unknown
Proportion: An equation stating that two ratios are equal, such as 3/6 = 1/2
Non-proportional linear relationship: A straight-line relationship that does NOT pass through the origin; equation form is y = kx + b where b ≠ 0
Scale: A proportional relationship used in maps and models to represent real distances or sizes
Real-world example of proportional relationship: Earnings: if you earn $12 per hour, total pay = 12 × hours worked, so y = 12x