Algebra EOC Review

Front

What is the solution to a system of inequalities?

Back

The solution is the set of all points that satisfy all inequalities in the system, often represented as a shaded region on a graph.

Front

How do you find the zeros of a quadratic function?

Back

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

Front

What is a literal equation?

Back

A literal equation is an equation that involves two or more variables and is solved for one variable in terms of the others.

Front

What is the difference between correlation and causation?

Back

Correlation indicates a relationship between two variables, while causation implies that one variable directly affects the other.

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 ax² + bx + c = 0.

Front

What does it mean to graph a system of inequalities?

Back

Graphing a system of inequalities involves plotting each inequality on the same coordinate plane and identifying the overlapping region that satisfies all inequalities.

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 determine if a relationship is causal?

Back

To determine if a relationship is causal, one must establish that changes in one variable directly result in changes in another, often through controlled experiments.

Front

What is the standard form of a quadratic equation?

Back

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

Front

What is the significance of the discriminant in a quadratic equation?

Back

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