EOC Review

Front

Is the graph a function?

Back

A graph is a function if every input (x-value) has exactly one output (y-value).

Front

Solve the following system of equations by graphing: y = 2x + 4 and y = -x - 2. What is the solution?

Back

The solution is the point where the two lines intersect, which is (-4, 4).

Front

A person’s weekly pay is directly proportional to the number of hours worked. If Shawn’s pay is $123.00 for 20 hours of work, what is the constant of variation?

Back

The constant of variation (k) is calculated as pay/hours worked, which is k = 123/20 = 6.15.

Front

What is the equation of the line for the following table? (x: 1, 2, 3; y: -2, -1, 0)

Back

The equation of the line is y = x - 3.

Front

Solve for F in the equation S = 3F - 24.

Back

F = (S + 24)/3.

Front

What does it mean for a relationship to be directly proportional?

Back

A relationship is directly proportional if one quantity increases or decreases by a constant factor when the other quantity does.

Front

What is the slope of a line?

Back

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

Front

How do you determine if a set of points forms a function?

Back

Use the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.

Front

What is the y-intercept of the line y = 2x + 3?

Back

The y-intercept is the point where the line crosses the y-axis, which is (0, 3).

Front

What is the formula for finding the slope between two points (x1, y1) and (x2, y2)?

Back

The formula is m = (y2 - y1) / (x2 - x1).