Algebra Midterm Review

Front

What is the equation of the function represented by the vertex form?

Back

Front

What is the solution set in a quadratic equation?

Back

The solution set consists of all the points (x, y) that satisfy the equation.

Front

What is the product of square roots?

Back

The product of square roots can be simplified using the property: @@ \sqrt{a} \times \sqrt{b} = \sqrt{a \times b}@@.

Front

How do you calculate the average rate of change of a function?

Back

Front

What is the definition of slope in a linear function?

Back

Front

What does the vertex of a parabola represent?

Back

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

Front

What is the significance of the y-intercept in a function?

Back

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

Front

How do you determine if a point is part of the solution set?

Back

To determine if a point (x, y) is part of the solution set, substitute x into the equation and check if the resulting y equals the given y.

Front

What is the quadratic formula used for?

Back

Front

What is the relationship between the roots and the coefficients of a quadratic equation?

Back