Math 1 EOC review

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is the part of the quadratic formula under the square root, given by b² - 4ac. It determines the number of solutions: if > 0, two solutions; = 0, one solution; < 0, no solutions.

Front

How do you find the area of a rectangle?

Back

The area of a rectangle is found by multiplying its length by its width. If the length is represented by 'l' and the width by 'w', then Area = l * w.

Front

Solve for F: S = 3F - 24

Back

F = (S + 24)/3

Front

Solve the quadratic equation: 2x² + 7x - 15 = 0

Back

x = -5 or x = 1.5

Front

What are the solutions of the equation represented by the graph?

Back

The solutions are the x-intercepts of the graph.

Front

What does it mean if a quadratic has a discriminant of 0?

Back

It means the quadratic has exactly one real solution, also known as a repeated or double root.

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 and a ≠ 0.

Front

How do you factor a quadratic equation?

Back

To factor a quadratic equation, find two numbers that multiply to 'ac' (the product of a and c) and add to 'b' (the coefficient of x).

Front

What is the vertex of a parabola?

Back

The vertex is the highest or lowest point of the parabola, depending on its orientation. It can be found using the formula (-b/2a, f(-b/2a)).

Front

What is the quadratic formula?

Back

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