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Algebra and Trigonometry

Practice Test

Algebra and TrigonometryPractice 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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