Algebra 2 Semester 1 Final Review

Front

If the discriminant is positive, then the solution will be:

Back

two real solutions

Front

Identify the function graphed: f(x) = -3|-x + 1| + 4, f(x) = -|x - 1| + 4, f(x) = -5|x + 1| + 4, f(x) = -3|x - 4| + 1

Back

f(x) = -3|-x + 1| + 4

Front

What is the solution to the system of equations: y = 4x + 1 and 3x + 2y = 13?

Back

(1, 5)

Front

Evaluate f(-2) if f(x) = x + 3:

Back

1

Front

What is the formula for the discriminant in a quadratic equation?

Back

D = b² - 4ac

Front

What does a negative discriminant indicate about the solutions of a quadratic equation?

Back

Two non-real solutions

Front

What is the vertex form of a quadratic function?

Back

f(x) = a(x - h)² + k, where (h, k) is the vertex.

Front

How do you find the x-intercepts of a quadratic function?

Back

Set f(x) = 0 and solve for x.

Front

What is the slope-intercept form of a linear equation?

Back

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

Front

What is the solution to the system of equations: 2x + 3y = 6 and x - y = 1?

Back

(3, 0)