Algebra 2 Quarter 1 REVIEW

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or not equal to the other.

Front

What does the graph of y > -2x² - 16x - 29 represent?

Back

It represents all the points (x, y) that are above the curve defined by the equation y = -2x² - 16x - 29.

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

How do you determine if a relation is a function?

Back

A relation is a function if no x-value is repeated with different y-values.

Front

What is the vertex form of a quadratic function?

Back

The vertex form of a quadratic function is f(x) = a(x - h)² + k, where (h, k) is the vertex of the parabola.

Front

What does it mean for a system of equations to have one solution?

Back

It means that the two lines represented by the equations intersect at exactly one point.

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.

Front

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

Back

The discriminant (b² - 4ac) determines the number of solutions: if it's positive, there are two solutions; if zero, one solution; if negative, no real solutions.

Front

What is a parabola?

Back

A parabola is the graph of a quadratic function, which is U-shaped and can open upwards or downwards.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.