Algebra 2 Review 35 questions

Front

What is the solution set of (x + 2)^(1/2) + 4 = 7?

Back

7

Front

Determine the values of a, b, and c for the quadratic equation: 4x^2 – 8x = 3.

Back

a = 4, b = -8, c = -3

Front

Identify the 'a' value in the equation y = 16x^2 - 8x - 24.

Back

16

Front

A parabola has a vertex at (-3,2). Where is the axis of symmetry?

Back

x = -3

Front

Rewrite the expression with a negative exponent: 1/12^4.

Back

12^-4

Front

What is the standard form of a quadratic equation?

Back

y = ax^2 + bx + c, where a, b, and c are constants.

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 is the quadratic formula?

Back

x = (-b ± √(b^2 - 4ac)) / (2a) for the equation ax^2 + bx + c = 0.

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, negative means no real roots.

Front

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

Back

Complete the square to rewrite it as y = a(x - h)^2 + k.