Escarcha Nelson Carlo GE 1A
Republic of the Philippines
SORSOGON STATE COLLEGE
Engineering – Architecture Department
Sorsogon City
COMPILATION OF S0LVED PROBLEMS IN QUADRATIC EQUATIONS AND FUNCTIONS
Submitted by:
Escarcha Nelson Carlo A.
GE- 1A
Submitted to:
R. B. Astillero
Asst. Professor
A.)
Solve:
37.)
38.)
39.)
40.)
41.)
B.)
51.) A rectangular sheet of cardboard is twice as long as it is wide. An open box having a capacity of 168 cubic inches is made by cutting 3-inch squares from the corners and bending up the sides an ends. Find the dimensions of the cardboard.
Solution:
Step 1:Given:
A rectangular sheet of cardboard is twice as long as it is wide.
An open box having a capacity of 168 cubic inches is made by cutting 3-inch squares from the corners and bending up the sides an ends. Required:
The dimensions of the cardboard.
Step 2:Let x = the width of the cardboard. y = the length of the cardboard.
Step 3: height of the box› 3 width of the box› x-6 length of the box› 2x-6
Step 4:
Substitute x to:
Step 5: Therefore, the dimension of the cardboard is 10 inches 20 inches.
Step 6:Check:
52.) A party of fishermen rented a boat for $240. Two of the men had withdrawn from the party and, as a result, the share of each of the others increased by $10. How many were in the original party?
Solution:
Step 1: Given:
A party of fishermen rented a boat for $240.
Two of the men had withdrawn from the party and, as a result, the share of each of the others increased by $10. Required:
The numbers of fishermen were in the original party.
Step 2:Let x = the numbers of fishermen were in the original party.
Step 3:
The share of each in the original party›
The share of each if two withdraw ›
Step 4:
Step 5: Therefore, 8 fishermen were in the original party.
Step 6:Check:0
54.) An airplane flying north at the rate of 240 miles per hour passed over a flying field at noon. A second plane flying east at 200
SORSOGON STATE COLLEGE
Engineering – Architecture Department
Sorsogon City
COMPILATION OF S0LVED PROBLEMS IN QUADRATIC EQUATIONS AND FUNCTIONS
Submitted by:
Escarcha Nelson Carlo A.
GE- 1A
Submitted to:
R. B. Astillero
Asst. Professor
A.)
Solve:
37.)
38.)
39.)
40.)
41.)
B.)
51.) A rectangular sheet of cardboard is twice as long as it is wide. An open box having a capacity of 168 cubic inches is made by cutting 3-inch squares from the corners and bending up the sides an ends. Find the dimensions of the cardboard.
Solution:
Step 1:Given:
A rectangular sheet of cardboard is twice as long as it is wide.
An open box having a capacity of 168 cubic inches is made by cutting 3-inch squares from the corners and bending up the sides an ends. Required:
The dimensions of the cardboard.
Step 2:Let x = the width of the cardboard. y = the length of the cardboard.
Step 3: height of the box› 3 width of the box› x-6 length of the box› 2x-6
Step 4:
Substitute x to:
Step 5: Therefore, the dimension of the cardboard is 10 inches 20 inches.
Step 6:Check:
52.) A party of fishermen rented a boat for $240. Two of the men had withdrawn from the party and, as a result, the share of each of the others increased by $10. How many were in the original party?
Solution:
Step 1: Given:
A party of fishermen rented a boat for $240.
Two of the men had withdrawn from the party and, as a result, the share of each of the others increased by $10. Required:
The numbers of fishermen were in the original party.
Step 2:Let x = the numbers of fishermen were in the original party.
Step 3:
The share of each in the original party›
The share of each if two withdraw ›
Step 4:
Step 5: Therefore, 8 fishermen were in the original party.
Step 6:Check:0
54.) An airplane flying north at the rate of 240 miles per hour passed over a flying field at noon. A second plane flying east at 200