Number Types & Properties

Complex Number

2. What is the sum of the complex numbers 3 – 4i and 5 + 3i?

2018 April(A09) Math Question 2

20. One of the following values for a makes the expression (2a+5)/(a2+1) undefined. Which one?

Undefined fraction

2021 April(D05) Math Question 20

2018 December(B05) Math Question 29

32. What is the complex conjugate of the number below?

Division of imaginary numbers (the use of conjugates)

2021 April(D05) Math Question 32

36. Given that i is the imaginary unit, which of the following complex numbers is equal to (7 + 6i)2 ?

2020 December(D03) Math Question 36

2011 June(69F) Math Question 41

2009 April(66F) Math Question 41

43. For i = square root of -1, (1 + 2i)^2 = ?

2016 April(73E) Math Question 43

2021 June(D06) Math Question 44

2012 June(70C) Math Question 51

53. The product of 2 numbers is 25. If 1 of the numbers is the complex number 4 + 3i, what is the other number?

2014 April(71H) Math Question 53

53. Given that b is rational and i = √••−1 , the product of the expression (3 + bi) and which of the following expressions must be a rational number?

2021 December(E23) Math Question 53

2013 April(71G) Math Question 54

2021 April(Z04) Math Question 55

2020 June(C02) Math Question 56

57. What is the distance, in coordinate units, between 2 + 6i and —4 + 3i in the complex plane?

2016 December(74H) Math Question 57

58. Karie is inventing a new notation in math. She has decided to use n.L to denote the sum of the first a positive integers. For example, 51 means 5 + 4 + 3 + 2 + 1. Karie has written 3 statements that she is investigating as possible properties of

2018 April(A09) Math Question 58

58. For all real numbers x and the imaginary number i, which of the following expressions is equivalent to

2017 June(74C) Math Question 58

58. Given a positive integer n such that i^n = 1, which of the following statements about n must be true? (Note: i² = – 1)

Complex NumberNumber Types & PropertiesACT math questions

2018 April(A09) Math Question 2

2021 April(D05) Math Question 20