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8/22/2019 College Algebra New
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Prepared by:
Engr. Jeffrey P. Landicho
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Sample Problem
1. Evaluate
a. 9 b. 8
c. 6 d. 4
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2. Solve for x
a. b.
c. 1/3 d. 1/5
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3. Solve for x+y if8x = 2(y+2) and 16(3x-y) = 4y.
a. 2 b. 6
c. 5 d. 4
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4. If 4
(2x+1)
= 1024,find the value of 4x
a. 14 b. 16
c. 18 d. 20
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5. Determine the value of y if
a. 4 b. 5
c. 6 d. 7
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6. Find the value of y if
a. 2 b. 4c. 6 d. 8
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7. Given
Solve for
a. 3.545 b. 5.345
c. 4.535 d. 3.455
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8. Solve for x from the givenequation
a. 2 b. 3c. 4 d. 5
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9. If
Determine x + ya. 18 b. 0
d. 4 d. 5
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10Find the rational number equivalent torepeating decimal 2.3524242424.a. 23289/9900 b. 23261/990
c. 23298/9900 d. 23264/9900
11. Find the 1987th digit in the decimalequivalent to 1785/9999 starting from
decimal point.a. 8 b. 7c. 1 d. 5
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12. In the equation x2 - kx +9 = 0, find kif the roots are equal.a. 6 b. 7
c. 8 d. 5
13. Find the value of constant h in the2x2 hx2 + 4x + 5h = 0 so that the sumof the roots is 2.
a. 4 b. 6
c. 12 d. 18
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14. In the expansion of (x+4y)12 the
numerical coefficient of the 5th term is:a. 126720 b. 216720
c. 506880 d. 253440
15. In the expression of (2x 1/x)10. Findthe term independent of x.
a. 6th term b. 5th termc. 4th term d. 7th term
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16. The 5th term of the expansion (x2 + x-1)n is 210x8. Find the value of n.
a. 8 b. 10
c. 12 d. 1417. Find the sum of the coefficients of the
expression (3x 1)12.
a. 4095 b. 5094
c. 4590 d. 5490
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18. Find the 5th term of the series whose
sum of n terms is given by 3(n+2) 6.a. 1458 b. 2432
c. 1264 d. 106219. In the given series of number 1, 1, 1/2,
1/6, 1/24 an find the 6th term.
a. 1/120 b. 1/130c. 2/245 d. 2/300
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20The 3rd and 8th term of an arithmetic
progression are 9 and 24 respectively. Find the20th term.
a. 60 b. 63
c. 36 d. 6921. A pile of poles contain 1275 poles in layers so
that the top layer contains one pole and eachlower layer has one more pole than the layer
above. How many layers are in the pile?
a. 50 b. 30
c. 40 d. 20
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22. Once a month a man put money onto
cookie jar. Each month he put 50centavos more into the jar than themonth before. After 12 years he
counted his money; he had P 5436.How much money did he put in the jarin the last month?
a. P 73.50 b. P 75.50
c. P 74.50 d. P 76.50
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23.Supposed a ball rebounds onehalf the distance if falls. If it isdropped from a height of 40 ft, how
far does it travel before coming tostop?
a. 120 ft
b. 140 ftc. 160 ft d. 180 ft
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24. A piece of paper is 0.05 in thick.
Each time the paper is folded intohalf, the thickness is doubled. If
the paper was folded 12 times, howthick in feet the folded paper be?
a. 17.07 b. 10.24
c. 12.34 d. 11.25
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25. The sides of a square is 6 cm long. Asecond square is inscribed by joiningthe midpoints of the sides of the
seconds square and so on. Find the sumof the areas of the infinite number ofinscribed squares thus formed.
a. 72 b. 36c. 144 d. 216