ALM Semester 1 Final Review

Front

What is the solution to the equation x² - 4x - 5 = 0?

Back

x = -1 or x = 5

Front

How do you calculate the average rate of change of a function f(x) from x = a to x = b?

Back

Average rate of change = (f(b) - f(a)) / (b - a)

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

Front

What is the value of f(3) in the function f(x) = 2x + 5?

Back

f(3) = 11

Front

Which function has a greater average rate of change from x = 0 to x = 2: f(x) = x² or g(x) = 3x?

Back

g(x) = 3x has a greater average rate of change.

Front

What is the formula for the quadratic equation?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a).

Front

What is the vertex of a parabola given by the equation y = ax² + bx + c?

Back

The vertex can be found at x = -b/(2a).

Front

What is the difference between a linear function and a quadratic function?

Back

A linear function has a constant rate of change and is represented by a straight line, while a quadratic function has a variable rate of change and is represented by a parabola.

Front

How do you find the roots of a quadratic equation?

Back

You can find the roots by factoring, using the quadratic formula, or completing the square.

Front

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

Back

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