Algebra 2 Midterm Review

Front

What inequality does the number line graph represent?

Back

x < 4

Front

What does i^2 equal?

Back

-1

Front

Simplify: (7 + 2i)(9 - 6i)

Back

75 - 24i

Front

Use the quadratic formula to solve: 2x^2 + 2x - 12

Back

x = 2, -3

Front

Factor completely: x^3 + 3x^2 - 4x - 12

Back

(x + 3)(x + 2)(x - 2)

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / 2a

Front

Define a complex number.

Back

A complex number is a number that can be expressed in the form a + bi, where a and b are real numbers and i is the imaginary unit.

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is the part of the quadratic formula under the square root: b² - 4ac.

Front

How do you find the vertex of a parabola given by the equation y = ax^2 + bx + c?

Back

The vertex can be found using the formula x = -b/(2a).

Front

What is the difference between a rational and an irrational number?

Back

A rational number can be expressed as a fraction a/b where a and b are integers, while an irrational number cannot be expressed as a simple fraction.