Unit 4 Review

Front

What is the first step in solving the equation 3(x-2)^2 + 9 = 36?

Back

Subtract 9 from both sides to isolate the quadratic term.

Front

How do you multiply two complex numbers, p = 6 + 7i and q = -3 + 6i?

Back

Use the distributive property (FOIL) to multiply: p * q = (6)(-3) + (6)(6i) + (7i)(-3) + (7i)(6i).

Front

What is the result of the multiplication of the complex numbers p = 6 + 7i and q = -3 + 6i in the form a + bi?

Back

The result is -60 + 15i.

Front

How do you subtract two complex numbers, p = 2 + 7i and q = -8 - 4i?

Back

Subtract the real parts and the imaginary parts separately: (2 - (-8)) + (7i - (-4i)).

Front

What is the result of the subtraction of the complex numbers p = 2 + 7i and q = -8 - 4i in the form a + bi?

Back

The result is 10 + 11i.

Front

What is the standard form of a complex number?

Back

The standard form is a + bi, where a is the real part and b is the imaginary part.

Front

How do you solve the equation x^2 - 4x = -11?

Back

Rearrange to x^2 - 4x + 11 = 0 and use the quadratic formula.

Front

What are the solutions to the equation x^2 - 4x = -11?

Back

The solutions are 2 ± i√7.

Front

How do you simplify the expression √(-144) using i?

Back

Use the property √(-a) = i√a, so √(-144) = 12i.

Front

What is the value of i^2?

Back

i^2 = -1.