7th grade Ratio and Proportion

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 is constant.

Front

What does it mean if a graph passes through the origin?

Back

If a graph passes through the origin (0,0), it indicates that the relationship is proportional.

Front

How can you determine if a table of values is proportional?

Back

To determine if a table is proportional, check if the ratio of y to x is constant for all pairs of values.

Front

What is the formula for finding a unit rate?

Back

The unit rate is found by dividing the quantity by the number of units, expressed as y/x.

Front

If Juan drove 275 miles in 5 hours, what is his rate of speed?

Back

His rate of speed is 55 miles per hour (275 miles ÷ 5 hours).

Front

How do you predict distance traveled at a constant speed?

Back

To predict distance, multiply the speed by the time traveled.

Front

What is the definition of a ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.

Front

What does it mean if two quantities are in a constant ratio?

Back

If two quantities are in a constant ratio, they are proportional, meaning they increase or decrease together at the same rate.

Front

What is the significance of the y-intercept in a graph?

Back

The y-intercept is the point where the graph crosses the y-axis, indicating the value of y when x is zero.

Front

What is an example of a non-proportional relationship?

Back

An example of a non-proportional relationship is a graph that does not pass through the origin, such as y = 2x + 3.