Algebra EOC Review

Front

What is the x-intercept of a function?

Back

The x-intercept is the point where the graph of a function crosses the x-axis. It occurs when the value of y is zero.

Front

How do you find the x-intercept of a linear equation?

Back

To find the x-intercept of a linear equation, set y to 0 and solve for x.

Front

What does it mean if a function has no x-intercept?

Back

If a function has no x-intercept, it means that the graph of the function does not cross the x-axis, indicating that the function does not have any real solutions.

Front

Define a linear equation.

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x).

Front

Explain the concept of parallel lines in algebra.

Back

Parallel lines are lines in a plane that never meet. They have the same slope but different y-intercepts.

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).

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, and A should be non-negative.

Front

How do you determine if a relation is a function?

Back

A relation is a function if every input has exactly one output. This can be checked using the vertical line test on its graph.

Front

What is a quadratic equation?

Back

A quadratic equation is a polynomial equation of degree 2, typically in the form ax^2 + bx + c = 0.