Alg 1 Final Review #2

Front

What is vertex form of a quadratic equation?

Back

The vertex form of a quadratic equation is given by: y = a(x-h)² + k, where (h, k) is the vertex of the parabola.

Front

How do you convert a quadratic equation to vertex form?

Back

To convert to vertex form, complete the square on the quadratic equation.

Front

What does the graph of y ≥ 3x + 1 represent?

Back

It represents the region above the line y = 3x + 1, including the line itself.

Front

What is a linear inequality?

Back

A linear inequality is an inequality that involves a linear function, typically expressed in the form ax + by < c, ax + by > c, etc.

Front

How can you determine if a point is a solution to a linear inequality?

Back

Substitute the point's coordinates into the inequality. If the inequality holds true, the point is a solution.

Front

What does it mean if a line is dotted in a graph of an inequality?

Back

A dotted line indicates that points on the line are not included in the solution set of the inequality.

Front

What is a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction p/q of two integers, where p is the numerator and q is the denominator.

Front

Give an example of a rational number.

Back

1/4 is a rational number because it can be expressed as a fraction.

Front

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

Back

The vertex represents the maximum or minimum point of the parabola, depending on the direction it opens.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is given by: y = ax² + bx + c.