Page 43 - Algebra 1

Exercise:
1. Find the solution to 𝑥+1 > 5 𝑥−3
a) – 3 < x < 4 3 c) x > 4 x < 3
e) 3 < x < 4
2. The cost and revenue function of a new hair serum is given by
C(x) = 15x + 9000
R(x) = 70x + 3500, where x is the number of hair serum produced and sold. How many hair serums should the company sell for some profit?
c) Greater than 100 Less than 75 e) Greater than 75
3. The length of the rectangle is five times the breadth. If the minimum perimeter of the rectangle is 180 cm, then which of the following is true?
≥ 15 cm c) Length < 15 ≥ 15 cm
e) Cannot be determined
4. For getting Grade ‘A’ in an engineering course, a student must obtain an average of 92 marks in five subjects. The total mark of each subject is 100 marks. If Amanda scores 92, 88, 91, and 89 in the four subjects, how many marks should she score in the fifth subject to get Grade ‘A’ in the engineering course?
≥97 ≥95 ≥94
5. John a carpenter with a leading furniture company wants to chop three different wood pieces from a log. The length of the log is 82 cm. The length of the second piece should be 7 cm longer than shortest. Furthermore, the length of the third piece should be thrice as long as the shortest. What should be the length of the shortest piece if the third piece is 5 cm longer than the second?
a) 4 ≤ x ≤ 15 b) 10 ≤ x ≤ 15 c) 4 ≤ x ≤ 12 d) 6 ≤ x ≤ 15 e) 6 ≤ x ≤ 12
a) Less than 100 b) 100
a) Breadth > 15 cm b) Breadth
b) – 4< x <
d)
d)
cm d) Length
a) Score of fifth subject
c) Score of fifth subject
e) Score of fifth subject
b) Score of fifth subject = 96
d) Score of fifth subject = 95
Page 42 of 54
ALGEBRA