7th Grade - Module 5 Review for Test

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other quantity is constant.

Front

What is the equation for a proportional relationship?

Back

The equation for a proportional relationship can be expressed as y = kx, where k is the constant of proportionality.

Front

If y = 5x, what is the constant of proportionality?

Back

The constant of proportionality is 5.

Front

How do you determine if two ratios form a proportion?

Back

Two ratios form a proportion if their cross products are equal.

Front

What is the scale factor in a scale model?

Back

The scale factor is the ratio of a length in the model to the corresponding length in the actual object.

Front

If a building is 30 m long and its scale model is 20 cm, what is the scale factor?

Back

1 cm = 1.5 m.

Front

What does it mean for a relationship to be linear?

Back

A linear relationship means that the relationship can be represented by a straight line on a graph.

Front

What is the slope in a linear equation?

Back

The slope is the ratio of the change in y to the change in x, often represented as 'm' in the equation y = mx + b.

Front

If the x-value increases by 40 and the y-value increases by 20, what is the slope?

Back

The slope is 0.5.

Front

What is a constant rate of change?

Back

A constant rate of change means that for every unit increase in x, y increases by a fixed amount.