Algebra 2 review

Front

What is the result of dividing (x + 10) by (6x + 60)?

Back

1/6

Front

Identify the 'c' value in the quadratic equation y = 16x² - 8x - 24.

Back

-24

Front

What is the first step to solve the equation 11 - 3x = 44?

Back

Subtract 11 from both sides.

Front

Does the equation y = -3x² + 7x - 2 open up or down?

Back

Down.

Front

Solve for y in the equation 8x + 4y = 16.

Back

y = -2x + 4.

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c.

Front

How do you find the vertex of a parabola given in standard form?

Back

Use the formula x = -b/(2a) to find the x-coordinate, then substitute back to find the y-coordinate.

Front

What does the discriminant of a quadratic equation tell you?

Back

It indicates the nature of the roots: positive means two real roots, zero means one real root, and negative means no real roots.

Front

What is the vertex form of a quadratic equation?

Back

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

Front

How do you factor a quadratic equation of the form ax² + bx + c?

Back

Look for two numbers that multiply to ac and add to b.