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. Three friends are picking apples. Bill picks 5 red and 3 green apples; Ming picks 8 red and 2 green apples; Randi picks 2 red and 4 green apples. They combine their apples into an empty basket. Ming will randomly select 1 apple from the basket. What is the probability she will select a green apple?
2. The students in Mr. Montag’s literature class are playing review games. For prizes, Mr. Montag has a bag that initially contained 23 fruit bars of different flavors: 6 cherry, 5 blueberry, 4 strawberry, and 8 raspberry. No fruit bars are added to the bag during the class. After each game, the winner randomly selects 1 fruit bar from the bag to keep. The winners of the first 4 games selected 1 cherry, 1 strawberry, and 2 raspberry fruit bars. Lin wins the 5th game. What is the probability that Lin will select a raspberry fruit bar?
3. . If \( x+\frac{2}{5}=\frac{3}{25} \), then x = ?
4. In the standard (x,y) coordinate plane, what is the slope of the line 7x + 4y = 8 ?
5. The expression (6c − 3d)(3c + d) is equivalent to:
F. 18c² − 15cd − 3d²
G. 18c² − 15cd + 3d²
H. 18c² − 3cd − 3d²
J. 18c² − 3cd + 3d²
K. 18c² − 3d²