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).

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.7.G.A.1

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.

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.7.RP.A.2A

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.

Tags

CCSS.7.RP.A.2B

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.

Tags

CCSS.7.G.A.1

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.

Tags

CCSS.7.G.A.1

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.

Tags

CCSS.4.MD.A.3

CCSS.3.MD.C.7B

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.

Tags

CCSS.4.MD.A.3

CCSS.3.MD.C.7B

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).

Tags

CCSS.HSF-LE.A.1B