Algebra 2 Semester 1 Final Review

Front

Which linear function f has the values f(0) = 2 and f(-1) = 0?

Back

f(x) = 2x + 2

Front

If the discriminant is positive, what can be said about the solutions of the quadratic equation?

Back

There are two real solutions.

Front

Does a parabola that opens upwards have a maximum or minimum value?

Back

It has a minimum value.

Front

Solve the system of equations: y = 4x + 1 and 3x + 2y = 13.

Back

(1, 5)

Front

What is the vertex of a parabola in the form y = ax^2 + bx + c?

Back

The vertex is at x = -b/(2a).

Front

What does the term 'discriminant' refer to in a quadratic equation?

Back

The discriminant is the value b² - 4ac, which determines the nature of the roots.

Front

What is the standard form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the significance of the y-intercept in a linear function?

Back

It is the point where the line crosses the y-axis (x=0).

Front

What is the general form of a quadratic function?

Back

y = ax^2 + bx + c, where a, b, and c are constants.