Welcome to our “Daily Math Practice Challenge: Preparing for the ACT Exam”! This challenge is designed to help you engage in targeted math practice every day, gearing up for the ACT exam. Through daily exercises, you will enhance your problem-solving speed, deepen your understanding of mathematical concepts, and strengthen your ability to tackle a variety of math problems.

1. The length of Rectangle A is equal to the length of Rectangle B. The width of Rectangle A is 3 inches less than the width of Rectangle B. If it can be determined, how many inches less is the perimeter of Rectangle A than the perimeter of Rectangle B ?

F. 3

G. 6

H. 9

J. 12

K. Cannot be determined from the given information

2. You have a piece of lumber that is exactly 8 feet long. You cut it into 3 pieces: one is exactly 3 feet 6 inches long and another is exactly 2 feet 3 inches long, as shown below. If each cut is exactly 1⁄8 inch wide, how long, in feet and inches, is the third piece?

3. During a promotion, a radio station gave every 35th caller a T-shirt and gave every 50th caller a concert ticket. Given that 1,000 people called during the promotion, how many callers received both a T-shirt and a concert ticket?

A. 2

B. 5

C. 35

D. 200

E. 350

4. Maria travels to Country A. Upon her arrival, she finds that 1 United States dollar is exchanged for x units of Country A’s currency. How many units of Country A’s currency will Maria receive when she exchanges y United States dollars?

5. A relation pairs elements in the domain with elements in the range. The table below defines a relation where the domain is represented by the x-values and the range is represented by the y-values.

Which of the following statements indicates whether this relation is a function of x and provides a valid reason?

F. It is, because the y-value is always greater than the x-value.

G. It is, because there are 5 distinct values in both the domain and the range.

H. It is not, because there are 2 different y-values paired with the x-value 3.

J. It is not, because there are 2 different x-values paired with the y-value 5.

K. It is not, because no equation can be written to model the relationship between x and y.