Algebra Review

Front

What is the y-intercept of a graph?

Back

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

Front

What is the x-intercept of a graph?

Back

The x-intercept is the point where the graph crosses the x-axis, represented as (x, 0).

Front

How do you find the solution of two lines on a graph?

Back

The solution is the point where the two lines intersect, representing the values of x and y that satisfy both equations.

Front

What does the slope of a graph represent?

Back

The slope represents the rate of change of y with respect to x, calculated as rise over run.

Front

What is a parabola?

Back

A parabola is a U-shaped graph that represents a quadratic function, typically in the form y = ax^2 + bx + c.

Front

How do you determine the slope from two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the standard form of a linear equation?

Back

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

Front

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

Back

A linear function has a constant slope and graphs as a straight line, while a quadratic function has a variable slope and graphs as a parabola.

Front

What is the vertex of a parabola?

Back

The vertex is the highest or lowest point of the parabola, depending on its orientation.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and never intersect.