ON-LINE ACTIVITY # 1
Name: 1.__________________________________ COURSE/SECTION _______ 2.__________________________________ DATE __________________
Answer the following problems correctly. Provide your complete solution and enclosed in a box your final answer.
A. Find the solution set of the following equations: 1. 2t-7=3 2. x2-2x-5=x+1 3. 3x-5=7-3x+2 4. 8-2x-3-2x=2
B. Find the ratio of the quantities: a. 32 days to 150 hours b. 10 students took Math Plus out of 40 students c. 6 pounds to 12 ounces
C. Solve for x a. (2x – 1) : (1 + 4x) = (1 – 4x) : (3 - 2x) b. 1: (x - 1)(x - 2) = x : x2 - 3x + 2
D. Divide 60 into two parts with the ratio 2:3.
E. A line 20 feet is divided into two parts whose lengths have the ratio 3:7. Find the lengths of the parts.
F. Two brothers are 7 and 9 years old. In how many years will the ratio of their ages be 1:2?
G. The sides of a triangle are 6, 8, and 15 inches long. In a similar triangle, the longest side is 21 inches long. Find the other two sides.
H. A basketball player is 6 feet 8 inches tall. How far should he stand from a light which is 15 feet above the ground, in order to cast a shadow 25 feet long?
I. If s varies inversely as r, and s = 5 when r = 8, then find s when r = 3. J. If y varies directly as x, and y = 4 when x = 12, then find y when x = 20. K. If u varies jointly as x and y, and u = 12 when x = 6 and y = 8, then find u when x = 4 and y =12. L. If x is jointly proportional to y and t2, and x = 108 when y = 4 and t = 3, then find x when y = 7 and t = 4. M. If w varies directly as u and inversely as v, and w = 6 when u = 4 and v = 2, then find w when u = 10 and v = 6. N. If y varies directly as x and inversely as the square root of t, and y = 5 when x = 3 and t = 4, find y when x = 8 and t = 9. O. If the temperature is constant, the volume of a gas