1st Semester Final Exam 2023 Review

Front

What is the formula to calculate the total weight Brewster will collect after a certain number of weeks if he starts with 100 pounds and collects 25 pounds each week?

Back

Total Weight = 100 + 25 * (number of weeks)

Front

How many weeks will it take Brewster to collect 1550 pounds if he starts with 100 pounds and collects 25 pounds each week?

Back

58 weeks

Front

What is the definition of slope in the context of a graph?

Back

Slope is the measure of the steepness of a line, calculated as the change in y divided by the change in x (rise/run).

Front

If Smith has a slope of 5/4 and Harmon has a slope of 7/2, who has the greater rate of change?

Back

Harmon has the greater rate of change with 7/2.

Front

What is a function in mathematics?

Back

A function is a relation where each input has exactly one output.

Front

How can you determine if a relation is a function?

Back

A relation is not a function if any input is associated with more than one output.

Front

What does it mean if two lines have the same slope?

Back

It means they have the same rate of change and are parallel to each other.

Front

If Troy has a greater rate of change than Lucy, what can we say about their slopes?

Back

Troy's slope is greater than Lucy's slope.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is 0.

Front

What is the general form of a linear equation?

Back

The general form is y = mx + b, where m is the slope and b is the y-intercept.