Topic 2 (M7) & Topic 3 (Pre) Test Review - 7th Grade

Front

What is the constant of proportionality in a linear equation of the form y = kx?

Back

The constant of proportionality (k) is the ratio of y to x, representing how much y changes for a unit change in x.

Front

How do you find the constant of proportionality from an equation like 5y = 12x?

Back

To find the constant of proportionality, rearrange the equation to the form y = kx and solve for k. In this case, k = 12/5.

Front

If a person uses 1 1/5 gigabytes of data in 30 days, how do you calculate the average data used per day?

Back

To find the average, divide the total data used by the number of days: (1 1/5) / 30 = 1/25 GB per day.

Front

What does the point (1, 12) represent in a graph of a Canoe Rental company's prices?

Back

The point (1, 12) indicates that the company charges $12 for 1 hour of canoe rental.

Front

How do you determine the constant of proportionality from a table of values?

Back

The constant of proportionality can be found by dividing the y-value by the corresponding x-value for any pair of values in the table.

Front

If hamburgers sell for 3 pounds for $6, how do you calculate the cost for 10 pounds?

Back

To find the cost for 10 pounds, first determine the cost per pound: $6 / 3 pounds = $2 per pound. Then multiply by 10 pounds: $2 * 10 = $20.

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

How can you express a mixed number as an improper fraction?

Back

To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place that result over the original denominator.

Front

What is the formula for calculating the average?

Back

The average is calculated by dividing the sum of all values by the number of values.

Front

What does it mean if a relationship is linear?

Back

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