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 time is it exactly 230 hours after 3 p.m. ?
F. 5 a.m.
G. 5 p.m.
H. 10 a.m.
J. 10 p.m.
K. 12 p.m.
2. Vanessa averaged exactly 12 points per game for 5 basketball games. She scored at least 10 points per game in each of the 5 games. What is the maximum number of points per game she could have scored in any 1 of the 5 games?
A. 12
B. 14
C. 15
D. 20
E. 50
3. The graph of the function y = −2(x − 3) ² + 1 in the standard (x,y) coordinate plane is translated 2 units to the left and 4 units down to create a new function. Which of the following equations defines the new function?
F. y = −2(x − 5)² − 3
G. y = −2(x − 5)² + 5
H. y = −2(x − 3)² + 5
J. y = −2(x − 1)² − 3
K. y = −2(x − 1)² + 5
4. In the standard (x,y) coordinate plane, what is the y-coordinate of the intersection point of the 2 lines with equations below?
y = −2x + 23
y = 3x − 7
F. −55
G. −16
H. 6
J. 11
K. 55
5. Let S be the set of all numbers of the form b − a where a and b are real numbers such that a > b. Which of the following describes S ?
A. All negative numbers
B. All positive numbers
C. All real numbers
D. All numbers less than or equal to 0
E. All numbers greater than or equal to 0