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. . In kite ABCD, shown below, the diagonals intersect at E at a right angle. The given lengths are in centimeters. Which of the following values is closest to the perimeter, in centimeters, of ABCD ?

F. 32

G. 40

H. 65

J. 91

K. 182

2. The price of 4 meals for Erin and her 3 friends was $60 before the addition of tax and tip. Erin and 2 friends each had meals of equal price. The price of the 3rd friend’s meal was twice the price of Erin’s meal. What was the price, in dollars, of Erin’s meal?

F. $10

G. $12

H. $15

J. $20

K. $30

3. Camp counselors will combine \( 5\frac{1}{2} \) pounds of peanuts with \( 1\frac{1}{4} \) pounds of cashews to make trail mix for their campers. Each camper will get a small bag filled with \( \frac{1}{8} \) pound of the trail mix. What is the maximum number of bags of trail mix that the camp counselors can fill?

A. 10

B. 34

C. 44

D. 50

E. 54

4. A student took 4 chemistry tests and earned an average score of exactly 80 points. A score of how many points on the 5th test will earn the student an average score of exactly 82 points for the 5 tests?

F. 72

G. 81

H. 82

J. 84

K. 90

5. What are the solutions to the equation ⎪u − 6⎪ = 5 ?

A. −1 and 1

B. −1 and 11

C. 1 and −11

D. 1 and 11

E. −11 and 11