Honors Algebra 2: Semester 1 Final Exam Review

Front

What is the Rational Root Theorem?

Back

The Rational Root Theorem states that any rational solution (or zero) of a polynomial equation, in the form of p/q, is such that p is a factor of the constant term and q is a factor of the leading coefficient.

Tags

CCSS.HSA.APR.B.2

Front

How do you find the starting height of a projectile given its height equation?

Back

To find the starting height of a projectile, evaluate the height equation at t=0. For example, in h(t) = -16t² + 140t + 2, h(0) = 2 feet.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is y = ax² + bx + c, where a, b, and c are constants and a ≠ 0.

Front

How do you determine the zeros of a quadratic function?

Back

To find the zeros of a quadratic function, set the equation equal to zero and solve for x using factoring, the quadratic formula, or completing the square.

Tags

CCSS.HSF-IF.C.7C

Front

What does it mean for a system of equations to have infinitely many solutions?

Back

A system of equations has infinitely many solutions when the equations represent the same line, meaning every point on the line is a solution.

Tags

CCSS.8.EE.C.8B

Front

What is the significance of the vertex in a quadratic function?

Back

The vertex of a quadratic function is the highest or lowest point on the graph, depending on the direction of the parabola. It represents the maximum or minimum value of the function.

Front

What is the difference between consistent and inconsistent systems of equations?

Back

A consistent system has at least one solution, while an inconsistent system has no solutions.

Tags

CCSS.8.EE.C.8B

Front

How do you graph a quadratic function?

Back

To graph a quadratic function, find the vertex, axis of symmetry, and intercepts, then plot points and draw a smooth curve.

Tags

CCSS.HSF-IF.C.7A

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the solutions of the quadratic equation ax² + bx + c = 0.

Tags

CCSS.HSA-REI.B.4B

Front

What are the characteristics of a parabola?

Back

A parabola opens upwards or downwards, has a vertex, an axis of symmetry, and can be described by its width and direction of opening.