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College Algebra with Corequisite Support

Practice Test

College Algebra with Corequisite SupportPractice Test

Practice Test

For the following exercises, identify the number as rational, irrational, whole, or natural. Choose the most descriptive answer.

1.

−13 −13

2.

2 2

For the following exercises, evaluate the expression.

3.

2(x+3)12;x=2 2(x+3)12;x=2

4.

y (3+3) 2 26;y=1 y (3+3) 2 26;y=1

5.

Write the number in standard notation: 3.1415× 10 6 3.1415× 10 6

6.

Write the number in scientific notation: 0.0000000212.

For the following exercises, simplify the expression.

7.

−2 ( 2+32 ) 2 +144 −2 ( 2+32 ) 2 +144

8.

4( x+3 )( 6x+2 ) 4( x+3 )( 6x+2 )

9.

3 5 3 −3 3 5 3 −3

10.

( 2 3 ) 3 ( 2 3 ) 3

11.

8 x 3 ( 2x ) 2 8 x 3 ( 2x ) 2

12.

( 16 y 0 )2 y −2 ( 16 y 0 )2 y −2

13.

441 441

14.

490 490

15.

9x 16 9x 16

16.

121 b 2 1+ b 121 b 2 1+ b

17.

6 24 +7 54 12 6 6 24 +7 54 12 6

18.

−8 3 625 4 −8 3 625 4

19.

(13 q 3 +2 q 2 3)(6 q 2 +5q3) (13 q 3 +2 q 2 3)(6 q 2 +5q3)

20.

( 6 p 2 +2p+1 )+( 9 p 2 −1 ) ( 6 p 2 +2p+1 )+( 9 p 2 −1 )

21.

(n2)( n 2 4n+4) (n2)( n 2 4n+4)

22.

(a2b)(2a+b) (a2b)(2a+b)

For the following exercises, factor the polynomial.

23.

16 x 2 81 16 x 2 81

24.

y 2 +12y+36 y 2 +12y+36

25.

27 c 3 1331 27 c 3 1331

26.

3x (x6) 1 4 +2 (x6) 3 4 3x (x6) 1 4 +2 (x6) 3 4

For the following exercises, simplify the expression.

27.

2 z 2 +7z+3 z 2 9 4 z 2 15z+9 4 z 2 1 2 z 2 +7z+3 z 2 9 4 z 2 15z+9 4 z 2 1

28.

x y + 2 x x y + 2 x

29.

a 2b 2b 9a 3a2b 6a a 2b 2b 9a 3a2b 6a

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