What is the additive inverse of the complex number 9 - 4i? |
b. -9 + 4i |
Which equation shows an example of the associative property of addition? |
a. (-4 + i) + 4i = -4 + (i + 4i) |
What is the value of the product (3 - 2i)(3 + 2i)? |
d. 13 |
What is the value of (-7 + 3i) - (2 - 6i)? |
a. -9 + 9i |
The relationship between voltage, E, current, I, and resistance, Z, is given by the equation E = IZ. If a circuit has a current I = 3 + 2i and a resistance Z = 2 - i, what is the voltage of the circuit? |
c. 8 + i |
Which property of addition is shown in the equation below? a + bi + 0 + 0i = a + bi |
c. identity property |
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? |
c. 8 - 2i |
Donte simplified the expression below. What mistake did Donte make? |
a. He did not apply the distributive property correctly for 4(1 + 3i). |
Which equation illustrates the identity property of multiplication? |
d. (a + bi) × 1 = (a + bi) |
Which property of addition is shown below? a + bi + c + di = a + c + bi + di |
c. commutative property |
What is the additive inverse of the complex number -8 + 3i? |
c. 8 - 3i |
Aiko is finding the sum (4 + 5i) + (-3 + 7i). She rewrites the sum as (-3 + 7)i + (4 + 5)i. Which statement explains the mathematical property that she made an error using? |
d. Aiko incorrectly used the distributive property by combining the real number and the coefficient of the imaginary part. |
Which property of addition is shown below? If x = a + bi and y = -a - bi, x + y = 0. |
d. inverse property |
Which property of multiplication is shown below? If x = a + bi and y = c + di, x × y = y × x. |
a. commutative property |