Exam Review #1 - Algebra 2

Front

Solve the system of equations: \(y = 2x + 1\) and \(y = -x - 3\)

Back

The solution is \((-2, -3)\).

Front

What are the domain restrictions for the function \(f(x) = \frac{1}{x-2}\)?

Back

The domain restriction is \(x \neq 2\).

Front

Which system of inequalities is represented by the lines \(y \ge -2x + 1\) and \(y < x + 4\)?

Back

The system is \(y \ge -2x + 1\) and \(y < x + 4\).

Front

Are the lines represented by the equations \(y = 3x + 2\) and \(y = -\frac{1}{3}x + 1\) parallel, perpendicular, or neither?

Back

The lines are perpendicular.

Front

What is the vertex of the quadratic function \(y = x^2 - 4x + 5\)?

Back

The vertex is \((2, 1)\).

Front

What is the solution to the equation \(2x + 3 = 7\)?

Back

The solution is \(x = 2\).

Front

What is the range of the function \(f(x) = -x^2 + 4\)?

Back

The range is \(y \le 4\).

Front

What is the slope of the line represented by the equation \(y = 5x - 3\)?

Back

The slope is 5.

Front

What is the y-intercept of the line represented by the equation \(y = -2x + 4\)?

Back

The y-intercept is 4.

Front

What is the solution to the inequality \(3x - 5 < 4\)?

Back

The solution is \(x < 3\).