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. At this point, 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

What is the slope of a line?

Back

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

Front

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

Back

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

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically written in the form f(x) = ax² + bx + c.

Front

What is the vertex of a parabola?

Back

The vertex of a parabola is the highest or lowest point on the graph, depending on whether it opens upwards or downwards.

Front

How do you find the vertex of a quadratic function?

Back

The vertex of a quadratic function in standard form can be found using the formula x = -b/(2a), and then substituting x back into the function to find y.

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 does the discriminant tell you about a quadratic equation?

Back

The discriminant (b² - 4ac) indicates the nature of the roots: if it's positive, there are two real roots; if zero, one real root; if negative, no real roots.