The figure below shows representations of the first 4 triangular|ACT Math exam questions with answers

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The figure below shows representations of the first 4 triangular numbers, through . What is the value of ?

(F) 144

(G) 168

(H) 288

(J) 300

(K) 600

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Whenever x and y are both integers, what is (6.0 × 10^x)(5.0^y × 10^y)expressed in scientific notation?

(F) 30.0 × 100^xy (G) 30.0 × 100^xy^y (H) 30.0 × 10^xy (J) 3.0 × 10^{x + y + 1} (K) 3.0 × 10^xy

Correct Answer: J

The table below lists the number (to the nearest 1,000) of book club members in the United States for 2001 through 2004. Of the following expressions with x representing the number of years after 2001, which best models the number of book club members (in thousands) in the United States?

Year

Number of members (in thousands)

2001
2002
2003
2004

539
542
5

(A) 539x + 2,001 (B) x + 2,001 (C) x + 539 (D) 547x + 2,004 (E) 2,001x + 539

Correct Answer: C

The membership fees for WebFilms consist of a monthly charge of $14 and a one-time new-member fee of $16. Sherwood made a credit card payment of $100 to pay his WebFilms fees for a certain number of months, including the new-member fee. How many months of membership did Sherwood include in his credit card payment?

(F) 4(G) 6(H) 7(J) 12(K) 14

Correct Answer: G

The figure below shows representations of the first 4 triangular numbers, through . What is the value of ?

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