Semester Final Review

Front

What is the solution to the equation: x – 19 = 5x + 9?

Back

x = -7

Front

How do you find the rate of change in a linear function?

Back

Rate of change = (change in y) / (change in x). For example, if y changes by 2 when x changes by 1, the rate of change is 2.

Front

What is the function that represents the same relationship as the given points on a graph?

Back

h(x) = -3x - 10.5

Front

From the equation y = 3x + 18, what is the value of the zero?

Back

The zero is the x-value when y = 0. Here, x = -6.

Front

Solve for b in the equation A = rac{1}{2}bh.

Back

b = \frac{2A}{h}.

Front

What is 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

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

How do you determine if a function is linear?

Back

A function is linear if it can be written in the form y = mx + b, where m and b are constants.

Front

What is the y-intercept of the function y = 2x + 5?

Back

The y-intercept is the point where the line crosses the y-axis, which is (0, 5) in this case.

Front

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

Back

Slope = \frac{y2 - y1}{x2 - x1}.