ALG 2 - Q2 Project (2024) - A Comprehensive 1st Semester Review

Front

What is the vertex of the quadratic function y = -5x^2 - 20x - 26?

Back

The vertex is (-2, -6).

Front

How do you solve the quadratic equation 2x^2 - 17x + 21 = 0 by factoring?

Back

The solutions are {7, \frac{3}{2}}.

Front

Write the equation of the line with slope 5/2 through the point (8, -2).

Back

The equation is y = \frac{5}{2}x - 22.

Front

What is the result of dividing (3x^3 + 5x - 1) by (x + 1)?

Back

The result is 3x^2 - 3x + 8 - \frac{9}{x+1}.

Front

What is the standard form of a quadratic function?

Back

The standard form is y = ax^2 + bx + c.

Front

What is the quadratic formula used to find the roots of a quadratic equation?

Back

The quadratic formula is x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}.

Front

What does the discriminant of a quadratic equation indicate?

Back

The discriminant (b^2 - 4ac) indicates the nature of the roots: if > 0, two real roots; if = 0, one real root; if < 0, no real roots.

Front

How do you find the axis of symmetry for a quadratic function?

Back

The axis of symmetry is given by x = -\frac{b}{2a}.

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

What is the process of factoring a quadratic equation?

Back

Factoring involves expressing the quadratic in the form (px + q)(rx + s) = 0.