Algebraic Reasoning Fall Semester Exam Review

Front

What is the vertex of a quadratic function in the form f(x) = a(x - h)² + k?

Back

The vertex is the point (h, k).

Front

How do you find the y-intercept of a linear equation?

Back

Set x = 0 in the equation and solve for y.

Front

What is the standard form of a quadratic equation?

Back

The standard form is f(x) = ax² + bx + c.

Front

What does the 'a' value in a quadratic function indicate?

Back

The 'a' value indicates the direction of the parabola (upward if a > 0, downward if a < 0).

Front

How do you solve a linear equation like 5y + 34 = -2(-7y + 1)?

Back

Isolate y by performing inverse operations on both sides.

Front

What is the formula for the vertex of a parabola given in standard form?

Back

The vertex (h, k) can be found using h = -b/(2a) and k = f(h).

Front

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

Back

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

Front

How do you convert from standard form to vertex form for a quadratic function?

Back

Use completing the square to rewrite the equation.

Front

What is the significance of the y-intercept in a graph?

Back

The y-intercept is the point where the graph crosses the y-axis (x=0).

Front

What is the process to find the x-intercepts of a quadratic function?

Back

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