Algebra Practice

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis. It is represented as (0, y).

Front

How do you evaluate a function f(x) at a specific value?

Back

To evaluate f(x) at a specific value, substitute the value into the function and simplify.

Front

What is the product of (m-8)(m-9)?

Back

m^2 - 17m + 72

Front

How do you find the x- and y-intercepts of a graph?

Back

The x-intercept is found by setting y=0 and solving for x. The y-intercept is found by setting x=0 and solving for y.

Front

What is the definition of a linear function?

Back

A linear function is a function that graphs to a straight line, typically in the form f(x) = 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, indicating 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

How do you factor a quadratic expression?

Back

To factor a quadratic expression, find two numbers that multiply to the constant term and add to the coefficient of the linear term.

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the roots of a quadratic equation.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input has exactly one output.