Semester Final Review

Front

What is the y-intercept in the equation y = -3x + 7?

Back

The y-intercept is 7.

Front

Which function represents the same relationship as the given points on a graph? h(x) = -3x - 10.5, h(x) = -x - 3.5, h(x) = 3x - 10.5, h(x) = x - 3.5

Back

The function is h(x) = -3x - 10.5.

Front

Write an equation for C, the total cost, to rent a paddle boat for h hours if the rental charges a $15 deposit fee plus $2 for each hour of use.

Back

C = 2h + 15.

Front

Which inequality best represents the graph? y < 1/2x + 1, y < 1/2x + 2, y > 1/2x + 2, y > 2x

Back

The inequality is y > 1/2x + 2.

Front

Solve the system: 3x − 2y = 7, y = 2x − 7

Back

The solution is (7, 7).

Front

What is the definition of a linear function?

Back

A linear function is a function that graphs to a straight line, represented by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input (x-value) has exactly one output (y-value).