Semester Exam Review Part 1

Front

What is the total capacity of a car that can hold 4 Mathletes?

Back

Each car can hold 4 Mathletes.

Front

What is the total capacity of a van that can hold 8 Mathletes?

Back

Each van can hold 8 Mathletes.

Front

If there are 44 Mathletes and they took 7 vehicles, how can we express this as an equation?

Back

Let c be the number of cars and v be the number of vans. The equations are: c + v = 7 and 4c + 8v = 44.

Front

What is the solution to the system of equations: c + v = 7 and 4c + 8v = 44?

Back

The solution is c = 3 (cars) and v = 4 (vans).

Front

What is the slope-intercept form of a linear equation?

Back

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Front

What does it mean for a relation to be a function?

Back

A relation is a function if each input (x-value) is associated with exactly one output (y-value).

Front

Given the relation {(1, 3), (2, 5), (8, 9), (6, 5)}, is it a function?

Back

Yes, it is a function because each x-value is unique.

Front

What is the definition of slope in a linear equation?

Back

The slope is a measure of the steepness of a line, calculated as the change in y over the change in x.

Front

Back

The y-intercept is -1, which is the value of y when x = 0.