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. What is the slope of the line passing through the points (−1,4) and (2,−1) in the standard (x,y) coordinate plane?

2. Each side of square ABCD has a length of 48 m. A certain rectangle whose area is equal to the area of ABCD has a width of 12 m. What is the length, in meters, of the rectangle?

F. 36

G. 48

H. 60

J. 144

K. 192

3. How many miles does a jet plane travel in 30 seconds if its speed is 840 miles per hour?

A. 7

B. 16

C. 28

D. 32

E. 60

4. The cost of a hotel room, y dollars, based on the rating, x, provided by a travel agency is modeled by the linear equation y = 2.34x + 67.75. Which of the following statements describes the rate of change of this model?

F. For every increase of 1.00 in the rating, the cost increases by $2.34.

G. For every increase of 1.00 in the rating, the cost increases by $67.75.

H. For every increase of 2.34 in the rating, the cost increases by $1.00.

J. For every increase of 2.34 in the rating, the cost increases by $67.75.

K. For every increase of $1.00 in the cost, the rating increases by 2.34.

5. In a 145-member choir of only altos and sopranos, there are 37 more altos than sopranos. What is the ratio of altos to sopranos?

A. 54:91

B. 54:145

C. 91:54

D. 91:145

E. 108:37