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In the complex numbers, where , the conjugate of any value a + bi is abi.What is the result when you multiply 2 + 7i by its conjugate?

(A) 45

(B) –45

(C) 45i

(D) 53

(E) 53i

The Correct Answer

A 16-piece orchestra wants to choose one of its members to speak at performances. They decide that this member CANNOT be one of the 4 soloists in the group. What is the probability that Itzhak, who is NOT a soloist, will be chosen as the speaker?

(A) 0(B) (C) (D) (E)

Correct Answer: C

The variable cost to produce a box of paper is $4.75. The fixed cost for the paper production machinery is $1,600.00 each day. Which of the following expressions correctly models the cost of producing b boxes of paper each day?

(A)1,600b + 4.75 (B) 1,600b - 4.75 (C) 1,600 + 4.75b (D) 4.75b - 1600 (E) 1,600b

Correct Answer: C

ACT test dates 2020 2021


2020-2021 Test Dates (National)
National Test Dates for 2020-2021 will not open for registration until July 2020.
Test Date Registration Deadline (Late Fee Required)
September 12, 2020 August 14 August 15 -August 28
October 24, 2020 September 18 September 19 - October 2