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. Let n be any even number greater than or equal to 4. Which of the 3 expressions below must be equal to an even number?
\( \frac{n}{2} \), \( 2n \), \( \sqrt[]{18} \)
2. A vertical radio tower stands on level ground. From a point 200 feet along level ground from the base of the tower, the angle of elevation to the top of the tower is 50°. Which of the following values is closest to the height, in feet, of the radio tower?
(Note: sin,50° ≈ 0.77, cos,50° ≈ 0.64, tan,50° ≈ 1.20)
F. 150
G. 170
H. 240
J. 260
K. 310
3. In the figure below, the measure of ∠ABC is 87°, the measure of ∠ABE is 68°, and the measure of ∠DBC is 52°. What is the measure of ∠DBE ?
A. 19°
B. 29°
C. 33°
D. 35°
E. 54°
4. Consider the number 630.6 × 10a, where a is an integer. What is scientific notation for this number?
Use the following information to answer questions 5-7.
RunOnline sells shoes and accessories to members and nonmembers of their club. Members are charged a onetime fee of $40 in order to pay the member price. The nonmember and member prices of certain items are given below.
All given prices include tax and shipping. Last year, RunOnline had a total of 1,000 customers. Of those customers, 25% were members.
5. Ed and Sarah both bought p pairs of shoes from RunOnline. Ed is a member and Sarah is a nonmember. Ed’s total cost, including the onetime fee, was equal to Sarah’s total cost. What is p ?
A. 2
B. 4
C. 5
D. 8
E. 10