positive exponents. 2 4 x y 3 )(5 6 x5y5 - folsom lake collegeflc.losrios.edu/~eitel/all pdfs/m-100...
TRANSCRIPT
Chapter 6 and 7 Half 8 Test Review Math 100 Name _________________ ! Simplify. Answer with positive exponents.
1.
�
(−3x4y)(5x2y4 )! 2.
�
−6x3y4( )2! 3.
�
−18x4y7
12x5y5
4.
�
−5x3y( )2 3x4 y3( )! 5.
�
5−1x4y−2
2−3 x5y−2! 6.
�
4x−5y4( ) −3x−2y−1( )
7.
�
2x5y−6( ) −x−2y−2( ) ! 8.
�
4x8y4
(2x3y3)3! 9.
�
(−xy−2)3
(4x−3y3)−2
Chapter 6 and 7 Half 8 Test Review Page 1 © 2013 Eitel
10.
�
5x6y4( )−2
4x6y4( )−1! 11
�
2x 2y( ) 3x y( )4xy( ) x2 y3( ) ! 12.
�
2x y2( )−3x−2y( ) 2x y−3( )
Write in Scientific Notation ! Expand into decimal form! !13. .00000142! 14. 5,300,000! 15.
�
2.4 x 10−5! 16.
�
4.3 x 104
Simplify: Perform the indicated operations.
17.
�
53x − 3
5x2 − 3− 17
3x + 13
5x2 − 4x + 2 ! 18.
�
−6x2 −2x2 + 4x − 12
⎛ ⎝ ⎜
⎞ ⎠ ⎟
19.
�
−(5x2 − 2x − 4) − 2x(4x − 3)! 20.
�
12(4x2 − 6x) − x(2x2 − 3x − 5)
Chapter 6 and 7 Half 8 Test Review Page 2 © 2013 Eitel
21.
�
2x + 5( ) 4x −1( ) ! 22.
�
2x −1( ) 3x +1( )
23.
�
2x − 5( ) 2x + 5( ) ! 24.
�
3x − 4( ) x − 6( )!
25.
�
4x − 5( )2 ! 26.
�
3x −1( ) 4x2 − 5x −1( )!
27.
�
10y4 −12y3 + 6y12y3
! 28.
�
16x4 − 3x2 −12x12x2
Chapter 6 and 7 Half 8 Test Review Page 3 © 2013 Eitel
29.
�
3x2 + 7x +13x − 2
! 30. !
�
4x3 − 3x + 32x +1
Factor completely. !31.
�
12x2 −18x ! 32.
�
2x2 −18x ! 33.
�
3x4 +12x2
34.
�
25x2 − 9 ! 35.
�
16x2 − 49 ! 36.
�
9x2 + 49
Chapter 6 and 7 Half 8 Test Review Page 4 © 2013 Eitel
37.
�
9x2 − 36! 38.
�
x4 − 81! 39.
�
x2 + 8x +15
40.
�
x2 − 5x −14 ! 41.
�
x2 −10x + 25 ! 42.
�
2x2 + 2x − 60
43.
�
3x2 − 21x + 30! 44.
�
8x2 −14x + 3 ! 45
�
2x2 −14x + 24
! !
Chapter 6 and 7 Half 8 Test Review Page 5 © 2013 Eitel
46.
�
6x2 + x − 2 ! 47.
�
5x2 − 3x − 8! 48.
�
8x2 − 8x + 2
Solve for x. Circle your answers:49.
�
10x2 − 6x = 0! 50.
�
4x2 = 9 ! 51.
�
x2 −14x + 49 = 0
52.
�
3x2 − 3x =18! 53.
�
3x2 +11x − 4 = 0 ! 54.
�
4x2 +15x − 4 = 0
Chapter 6 and 7 Half 8 Test Review Page 6 © 2013 Eitel
Simplify the expression. Show all your work. Circle your answers.
55.
�
6x3y2 −12x2y2
3x4y − 6x3y! 56.
�
2x2 −10xx2 −10x + 25
! 57.
�
2x2 −10x +122x2 − 6x
!
58
�
9 − x2
5x2 +15x! 59.
�
4x2 − 8x2x2 − 5x + 2
! 60.
�
3x2 −13x + 46x2 + 7x − 3
Chapter 6 and 7 Half 8 Test Review Page 7 © 2013 Eitel
Perform the indicated operation and simplify the result. Circle your answers.
61.
�
15x3y3
6x5 • 9y4
12xy2 ! 62.
�
14x2y6
2x2 − 4x ÷ 21x5y2
x2 − 4
63.
�
x3 − 6x2
4x2 − 6x • 4x2 − 9
x2 − 4x −12! 64.
�
3x2 −12x2 + 6x + 8
÷ x2 − 4x + 42x2 + 8x
! !
Chapter 6 and 7 Half 8 Test Review Page 8 © 2013 Eitel
Chapter 6 and 7 and Half Chapter 8 Test Review Answers
1.
�
−15x6y5! 2.
�
36x6y8 ! 3.
�
−3y2
2x! 4.
�
75x10y5 ! 5.
�
85x! 6.
�
−12y3
x7
7.
�
−2x3
y8! 8.
�
12xy5
! 9.
�
−16x3
! 10.
�
425x6y4
! 11.
�
32y2
! 12.
�
116x2y4
!
13.
�
1.42 x 10−6! 14.
�
5.3 x 106 ! 15. .000024! 16. 43,000!
17.
�
2x2 − 8x −1! 18.
�
12x4 − 24x3 + 3x2 ! 19.
�
−13x2 + 8x + 4 ! 20.
�
−2x3 + 5x2 + 2x
21.
�
8x2 +18x − 5 ! 22.
�
6x2 − x −1! 23.
�
4x2 − 25 ! 24.
�
3x2 − 22x + 24
25.
�
16x2 − 40x + 25! 26.
�
12x3 −19x2 + 2x +1! 27.
�
5y6
−1 + 12y2 ! 28.
�
4x2
3− 14− 1x
29.
�
x + 3+ 73x − 2
! 30.
�
2x2 − x −1+ 42x +1
! !
31.
�
6x(2x − 3) ! 32.
�
2x(x − 9) ! 33.
�
3x2(x2 + 4)! 34
�
(5x + 3)(5x − 3)
35.
�
(4x − 7)(4x + 7) ! 36. DNF! 37.
�
9(x − 2)(x + 2) ! 38.
�
(x − 3)(x + 3)(x2 + 9)
39.
�
(x + 5)(x + 3)! 40.
�
(x + 2)(x − 7)! 41.
�
(x − 5)(x − 5)! 42.
�
2(x + 6)(x − 5)
43.
�
3(x − 5)(x − 2)! 44.
�
(4x −1)(2x − 3) ! 45.
�
2(x − 4)(x − 3)! 46.
�
(3x + 2)(2x −1)
47.
�
(5x − 8)(x +1) ! 48.
�
2(2x −1)(2x −1)
49.
�
x = 0 or x = 35! 50.
�
x = 32
or x = −32! 51.
�
x = 7 or x = 7! 52.
�
x = −2 or x = 3 !
53.
�
x = 13
or x = −4 ! 54.
�
x = 14
or x = −4
55.
�
2yx! 56.
�
2x(x − 5)
! 57.
�
(x − 2)x
! 58
�
−(x − 3)5x
! 59.
�
4x(2x −1)
60.
�
(x − 4)(2x + 3)
! 61.
�
15y5
8x3! 62.
�
y4 (x + 2)3x4
! 63.
�
x(2x + 3)2(x + 2)
! 64.
�
6x(x − 2)
Chapter 6 and 7 Half 8 Test Review Page 9 © 2013 Eitel