Semester 1 Math Final

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm' in the equation of a line (y = mx + b). It is calculated as the rise over run (change in y over change in x).

Front

How do you calculate the dimensions of a scale drawing?

Back

To calculate the dimensions of a scale drawing, use the scale factor to convert actual measurements to the drawing size. For example, if the scale is 4 cm : 30 ft, divide the actual dimensions by the scale factor.

Front

What does the point (2, 100) represent in a graph?

Back

The point (2, 100) means that there are 100 pounds of wild rice in 2 bags.

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio. For example, if y is proportional to x, then y = kx for some constant k.

Front

How do you find the constant of proportionality?

Back

The constant of proportionality can be found by dividing one quantity by the other in a proportional relationship. For example, if y = kx, then k = y/x.

Front

What is a scale in a drawing?

Back

A scale in a drawing is a ratio that compares the dimensions of the drawing to the actual dimensions. For example, a scale of 1 cm : 2.5 ft means 1 cm on the drawing represents 2.5 ft in reality.

Front

How do you convert map distances to actual distances using a scale?

Back

To convert map distances to actual distances, multiply the distance on the map by the scale factor. For example, if the scale is 3 cm : 20 km, then 1 cm represents approximately 6.67 km.

Front

What is the formula for calculating the area of a rectangle?

Back

The area of a rectangle is calculated using the formula: Area = length × width.

Front

What is the relationship between the dimensions of a rectangle and its area?

Back

The area of a rectangle is directly proportional to both its length and width. Increasing either dimension will increase the area.

Front

How do you determine if a relationship is linear?

Back

A relationship is linear if it can be represented by a straight line on a graph, meaning it has a constant rate of change (slope).