26 terms

# Complex Numbers

#### Terms in this set (...)

What is the square root of -16?🔹
4i
If f(x) = 1 - x, which value is equivalent to |f(i)|?
√2
Which expression is equivalent to i²³³?
i
-i
In which quadrant is the number -14 - 5i located on the complex plane?
III
What is the distance from the origin of point A graphed on the complex plane below?
√13
Which of the following is equivalent to 18 - √-25?
18 - 5i
Which complex number has a distance of √17 from the origin on the complex plane?
4 - i
If f(x) = x³ - 2x², which expression is equivalent to f(i)?
-2 - i
2 - i
If the complex number x = 3 + bi and |x|² = 13, which is a possible value of b?
2 9 10
Which complex number has an absolute value of 5?
-3 + 4i
2 + 3i
7 - 2i
Which of the following is a complex number?
4 + 9i
What is the sum of √-2 and √-18?
4√2i
Which equation illustrates the identity property of multiplication?🔹
(a + bi) × 1 = (a + bi)
What is the additive inverse of the complex number 9 - 4i?
-9 + 4i
What is the additive inverse of the complex number -8 + 3i?
8 - 3i
Melissa and Tomas are playing a game with complex numbers. If Melissa has a score of 5 - 4i and Tomas has a score of 3 + 2i, what is their total score?
8 - 2i
Which equation shows an example of the associative property of addition?
(-4 + i) + 4i = -4 + (i + 4i)
4i × (-4i + i) = (4i - 4i) + (4i × i)
Which property of multiplication is shown below?
If x = a + bi and y = c + di, x × y = y × x.
commutative property
Which property of addition is shown below?
If x = a + bi and y = -a - bi, x + y = 0.
inverse property
Which property of addition is shown below?
a + bi + c + di = a + c + bi + di
commutative property
What mistake did Donte make?
He did not apply the distributive property correctly for 4(1 + 3i).
What is the value of (-7 + 3i) - (2 - 6i)?
-9 + 9i
Aiko is finding the sum (4 + 5i) + (-3 + 7i). She rewrites the sum as (-3 + 7)i + (4 + 5)i. Which statement explains the property of addition that she made an error using?
Aiko incorrectly used the distributive property by combining the real number and the coefficient of the imaginary part.
What is the value of the product (3 - 2i)(3 + 2i)?
13
Evaluate (2 - 5i)(p + q)i when p = 2 and q = 5i
29i
Which property of addition is shown in the equation below?
a + bi + 0 + 0i = a + bi
identity property