Page 16 - Algebra 1

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Exercise
1. Factorize x2 – 6√3x + 15
a) (x –√3) (x –5√3)
c) (x –√3) (x +5√3)
e) Cannot be determined
2. What are the factors of x4 + 64?
a)(x2 +8)2
c)(x2 +8–4x)(x2 +8+4x) e) Cannot be determined
b) (x +√3) (x –5√3) d) (x+ √3) (x +5√3)
b)(x2 –8)2 d)(x–8)(x2 +8)2
3. A daily wage electrician was paid $300 during a time frame of 30 days. During the 30 days time- frame, he was absent for 6 days and was fined $5 per day. The electrician was paid the full salary only for 16 days because all the other days he was very later to work due to illness. On the days he came late, he was paid only half of the wages. Find the salary paid to an electrician who was never late nor absent from the work for 30 days?
a) $330 b) $385 c) $415 d) $495 e) $505
4. 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
5.
b) 200 d) 260
b) 2x + 7
d) 1 2𝑥− 1
Simplify the expression
4𝑥2 –49
4𝑥2− 16𝑥 + 7
a) 1 c)2𝑥−7
2𝑥− 1 e) 2𝑥+7
2𝑥− 1
–1) mark for every wrong answer. If Babis secured 320
marks in the examination, find the number of questions in the exam.
Page 15 of 54
ALGEBRA
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