11. Given the equations 5𝑥+𝑦 = 100 and 22𝑥−𝑦 = 10. Find 𝑥.
A. 4.56
C. 1.24
B. 3.21
D. 2.06
12. Two times the father’s age is 8 more than six times his son’s age. Ten years ago, the sum of
their ages was 44. What is the age of the son?
A. 49
C. 20
B. 15
D. 18
13. What is the potential energy of a 1.5 kg ball placed at a top of a 20 m high building?
A. 104.6 J
C. 29.43 J
B. 10.45 J
D. 294.3 J
14. Peter can paint a fence 50% faster than John and 20% faster than Joseph, and together they
can paint a given fence in 4 hours. How long will it take Peter to paint the same fence if he had
to work alone?
A. 10 hours
C. 5 hours
B. 20 hours
D. 2 hours
15. Given the equations 5𝑥+𝑦 = 100 and 22𝑥−𝑦 = 10. Find 𝑥.
A. 4.56
C. 1.24
B. 3.21
D. 2.06
16. What percentage of the total volume of an iceberg is the one below the surface of sea water?
A. 89%
C. 11%
B. 8%
D. 92%
17. What is the equation of the line that passes through (5,6) and (-3,-4)?
A. 5x+4y+1=0
C. 5x-4y-1=0
B. 5x-4y+1=0
D. 5x+4y-1=0
18. How much oxygen is required to convert 11.24 g of cadmium to 12.84 g of cadmium oxide?
A. 1.60 g
C. 24.08 g
B. 1.14 g
D. 0.88 g
19. Find the remainder when 3𝑥 4 + 5𝑥 3 − 5𝑥 2 + 10𝑥 − 1 divided by 3𝑥 − 1.
A. 1
C. 3
B. 2
D. 4
20. How many terms of the sequence 8,13,18, … must be taken so that the sum is 1,700?
A. 20
C. 21
B. 25
D. 27