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. Given that x ≤ 2 and x + y ≥ 6, what is the LEAST value that y can have?
A. −8
B. −4
C. 0
D. 4
E. 8
2. A square vegetable garden is built in a rectangular 50-meter-by-40-meter lawn. The lengths of the sides of the garden are 5 meters. What area of the lawn, in square meters, is outside of the vegetable garden?
F. 1,575
G. 1,750
H. 1,800
J. 1,975
K. 2,475
3. . The distance of the longest jump of each of the participants in a long jump competition is given in the stem-and-leaf plot below.
What is the probability that a long jump participant chosen at random from the competition will have jumped at least 75 inches?
4. Gabe will use 1 fluid ounce of fertilizer for every 30 square feet of soil. At this rate, how much fertilizer, to the nearest 0.01 gallon, will Gabe use for 0.8 acres of soil?
(Note: 1 acre = 43,560 square feet; 1 gallon = 128 fluid ounces)
A. 0.07
B. 0.11
C. 9.08
D. 14.18
E. 24.00
5. On each of 10 tests, Andreas scored 2 points higher than Mischa. When their average test scores on these 10 tests are compared, how many points higher is Andreas’s average than Mischa’s average?
F. 2
G. 5
H. 6
J. 8
K. 20