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PALARIS COLLEGES

San Carlos City, PangasinanPRELIM EXAM

Name: _____________________________________Course/Year: ____________Multiple Choice: Encircle the best answer.

1. Express na1

as a radical. a. n a b. a n1 c.n

a d. a n

2. Rewrite 322 into a radical form a.3 22 b. 23 c. 2 32 d. 3 23

3. What is the radical form of (4x)3/2?

a. 32)4( x b. 3)4( x c.

3 4)2( x d. 4 3)2( x

4. Write 81 with rational exponent. a. 9 b. 92 c. 21

81 d. 32

81

5. One of the following is the radical expression of the expression 43

2 )5( x , which is it?

a. 342

)5( x b. 432

)5( x c. 3 3625x d. 43

125( x

6. What is the radical form of (4x)3/2? a. 3)4( x b. 3 2)4( x c. 4 3)2( x

7. Simplify 54

48 caba. 64 b. accb 34

22 c. accb 12222

8. Simplify: 3 3125x a. 5x b. 5x2 c. 25x d. 25x2

9. Find two rational numbers between which 20 lies.

a. 4 & 5 b. 5 & 6 c. 6 & 7 d. 7 & 8

10.Express 21

43

32

zyx as a single radical expression.

a. 3698 zyx b. 4 32 zyx c. 6 32 zyx d. 12 698 zyx

11.Find 3 93627 zyx a. 3x3y2z3 b. 3x2y2z3 c. 3x2yz3 d. 3xyz

12.The expression 3416 yx can be simplified to which expression?

a. yyx24 b. yxy8 c. 224 yyx d. 228 yyx

13. A radical expression can be simplified by one of the following statements:

a. reduce the order of the radical whenever possible c. make the radicand rational

b. increase the radicand d. find the indicated roots

14.To rationalize the radical expression2

1what will you do with the radicand?

a. divide the expression by 21 c. multiply the radicand by 2

b. multiply the radicand by 22 d. subtract 2

1 from the radicand

15.Rationalize the denominator of the expression 2

1

a.3

1b.

2

2c.

3

3d. 2

16.The sum of 22223 + equals ______.

a. 2 b. 22 c. 22 d. 24

17.Subtract 724 from 982 a. 210 b. 210 c. 238

18.The resulting expression when 8 is subtracted from 27 is ______.

a. 33 b. 22 c. 23 d. 2233

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19.The quotient of 81 divided by 9 is _____.

a. 3 b. 33 c. 3 d.3

3

20. If 23 is multiplied by 33 , what is the product?

a. 249 b. 69 c. )6(49 d. 618

21.Which of the following is equal to x 4 x a. 4 3x b.32x c. 4 2x

22.Divide 232 by a. 4 b. 8 c. 16

23.Find the indicated product of the expression )3( )23(

a. 63 b. 66 c. 1086

24.Between what two consecutive integers does 17 lie?

a. 3 & 4 b. 4 & 5 c. 5 & 6 d. 6 & 7

25. The square root of 8 more than a number is 24. Find the number.

a. 568 b. 578 c. 588 d. 59826.What is the remainder when f(x) = 2x3 4x2 + 3x 1 is divided by x 1?

a. 1 b. 0 c. -10 d. 10

27. What is the remainder when f(x)=2x3-4x2+3x-1 is divided by x-1?

a. 0 b. 1 c. 10 d. -10

28. What is the remainder when P(x)=x4-2x2-7x+6 is divided by x+2?

a. 12 b. 16 c. 24 d. 28

29.Find P(2) if P(x) = 2x3-5x2+6x-11

a. 2 b. 3 c. -3 d. -2

30. Use synthetic division to determine the remainder when 5x+2x+5 is divided by x+3.

a. 16 b. -16 c. 26 d. -26

II. Solve and simplify each problem. Show the solution. 5pts. ea.

1. Rewrite into Radical: (7x2)2/3

2. Simplify:xyz

yzx

7

563 2

3. Use Synthetic Division to find the quotient and remainder:

x3 - 2x2 + x + 18 x + 2

4. Solve P(x) using the Remainder Theorem.

P(x) = x4 3x3 + 2x -2 ; x+2

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5. Find P(x) for the P(x)=4x3-5x2+6x-7 if x=-2.

Answer:

27.A

28.d

29.C30.B

II.

1. Q(x)=x2-4x+9;R=0

2. P(x)=34