Algebra I Final Review

Front

What are the x-intercepts of a quadratic function?

Back

The x-intercepts are the points where the graph of the quadratic function crosses the x-axis. They can be found by setting the function equal to zero and solving for x.

Front

Simplify: √4√12

Back

4√3

Front

Factor the expression: x² - 13x + 36

Back

(x - 9)(x - 4)

Front

What does it mean if a quadratic graph does not intercept the x-axis?

Back

It means that the quadratic has no real solutions.

Front

If a shirt and a pair of shorts cost the same, and one brother spends $175 on 7 shirts and 7 shorts, how much does one shirt cost?

Back

$10

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax² + bx + c = 0, where a, b, and c are constants.

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

How do you find the axis of symmetry for a quadratic function?

Back

The axis of symmetry can be found using the formula x = -b/(2a) from the standard form of the quadratic equation.

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 a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents.