Completing The Square

Question 1

Which property of addition is shown in the equation below?a + bi + 0 + 0i = a + bi

Revolt · Accepted Answer

identity property

Question 2

Which property of addition is shown below?If x = a + bi and y = –a – bi, x + y = 0.

Revolt · Accepted Answer

inverse property

Question 3

Aiko is finding the sum (4 + 5i) + (–3 + 7i). She rewrites the sum as (–3 + 7)i + (4 + 5)i. Which statement explains the error Aiko made by using a mathematical property incorrectly?

Revolt · Accepted Answer

Aiko incorrectly used the distributive property by combining the real number and the coefficient of the imaginary part.

Question 4

What is the value of the product (3 – 2i)(3 + 2i)?

Revolt · Accepted Answer

13

Question 5

What is the value of (–7 + 3i) – (2 – 6i)?

Revolt · Accepted Answer

–9 + 9i

Question 6

Which equation demonstrates the additive identity property?

Revolt · Accepted Answer

(7 + 4 i) + 0 = 7 + 4 i

Question 7

Which property of addition is shown below?a + bi + c + di = a + c + bi + di

Revolt · Accepted Answer

commutative property

Question 8

Which property of multiplication is shown below? If x = a + bi and y = c + di, x × y = y × x.

Revolt · Accepted Answer

commutative property

Question 9

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?

Revolt · Accepted Answer

8 + i

Question 10

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?

Revolt · Accepted Answer

8 – 2i

Completing The Square Answers

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