Page 116 - Algebra

7. In a competitive examination, Babis attempts only 80% of the questions. On checking the answers at home, he realizes that only 60% of the answers are correct. Each question of the paper carries 4 marks and attracts a (
a) 150 c) 220 e) 300
8.
9.
e) 2 11
10.
11. Simplify the following 𝑥2−3𝑥+4 ÷ 𝑥−4
b) 200 d) 260
b) 2x + 7 d)1
Simplify the expression
4𝑥2 –49
4𝑥2−16𝑥+7
a) 1
c) 2𝑥−7
2𝑥− 1 e) 2𝑥+7
2𝑥− 1
2𝑥− 1
Sam saw a fraction and decided to ask a riddle to his friend Perry. He told Perry that the sum of
the numerator and denominator of the fraction is 12. When he adds 3 to the numerator, and
4
subtracts 6 from the denominator, the fraction becomes5. What is the fraction Sam is talking
about?
a) 3 13
c) 3 11
b)4 13
d)1 11
b) 4:13 d) 5:13
b) 𝑥+1 𝑥+4
d) 𝑥−1 𝑥−4
Julie’s grandmother was 10 time older than her 14 years back. The grandmother would be 4
times the age of Julie 6 years from now. Find the ratio of the present age of Julie and her
grandmother.
a) 4:19 c) 5:19 e) 5:18
a) 𝑥+1 𝑥−4
c) 𝑥+1 𝑥−2
𝑥2−4
𝑥+2
e) 1
12. Find the nature of the roots of 9x2 – 6√3x + 3 = 0 and find the roots.
a) Equal roots, √3 b) Distinct roots, √3±5 33
–1) mark for every wrong answer. If Babis secured 320
marks in the examination, find the number of questions in the exam.
Page 115 of 177
Algebra I & II