Name
Equations with Fractions
_
Date
Period
_
Solve.
1. x
~ 3 +2= x~
-x. =-22.
4
x-4 x-1 1
3. -6---3-=2
x-2 x-1 1
4. -4---8-=8
x+5 x-3_ 1
5 · -4---2---2
6 x+3 x-3_ 2
· -6--1"0-15
3x - 5 4x - 8
6 + 3
=
10 7x - 1 _ 5x + 3
=
8.
x - 4 x + 2 _x + 4
9· -8-+-3---4­
·
11 8x - 5 _ 7x + 3 = x - 4
· 12
5
15
13.
15
17
·
3x-4 5x-9
6 9
=
x-2
-3­
3x - 1 _ 5x + 7
=
2x
4
8
x + 2 _ 4x - 5
·
7
14
12
3x-2 2x-5
3 4
+3
6
4x + 3
10
=
20x + 3
3
9
10
5
2
16 2x + 3 _ 5x - 2 = 3x - 2
·
3
12
6
3x + 8
18.
2
=
9x - 5 _ 4 - 3x
·
·
19 9x - 4 x - 3 = 2x + 1
·
5 + 3
15
21.
6
14 2x - 1 _ 4x + 3 = x - 3
2
=
5
1
20
2x-4
8
2x-7 3x-2
8 4
4x - 3
·
9
+
=
x-2
1"0
3x + 1 = x - 7
3
12
22 2x - 3 _ 3x - 3 = 7x + 2
·
2
12
6
4
2x-5 5x- S 3x+5
24.
3
5
= 10
25 x - 1 "_ 3x
·
11
+ 4 = 2x 2
26 3x+7 _2x+1 =x-2
·
9
15
5
2
22
Page 17 Equations with Fractions
~"3
Vl
© 1984 by Dale Seymour Publica!
1
1. x = -22 2. x = 347 3. x = -5 4. x = 4
5. x = 13 6. x = - 10 7. x = - (51/2) 8. x =
27/11 9. x = 4 10. x = 6 11. x = -15/16
12. x = 9 13. x = 18/7 14. x = 2 15. x = - 3
16. x = 6 17. x = -47/23 18. x = -7/24 19. x
= 14/15 20. x = - (3/7) 21. x = - 13/3 22. x =
-(19/5) 23. x = 3 24. x = -3 25. x = -4/3
26.
<l>
~
Skills in Algebra
Book C
Name
Equations with Fractions
_
Date
Period
_
• Solve.
1.
4x
9
5x
2
+ 12 =3
3 x-9+3=x+2
· . 4
6
6 x+2
x+3_ 3
· -7- - -2- -14
8 ·
x-5 x+4 x-2
9. -3- + -9- = -6­
11
·
5x-4 _2x+3=x+2
5
3
6
13.
2x - 3 5x - 2
5 4
15
5x
·
=
x - 1
----w
+ 4 _ 2x + 7 = 4x + 1
3
6
9
17 x - 6 _ 3x - a = 2x + 1
· 4
12
a
19
4x - 5 _ x
· a
4x
+1
5
+
+5
3x
= 2
3
10 6x - 1 _ 3x + 2 = 2x + 5
•
7
6x
12
·
14
·
+3
4
14
2
+
2x + 1 = 7x + 2
3
6
3X + 5 _ 2x + 5 =
2
3
x+2
4
16 3x - 1 _ 7x + 3 = 6x + 11
•
10
2
5
18' x + 1 _ 2x + 3 = 5x + 2
7,
2a
· 2
+ 6 = 3x + 7
3
4
21 x - 3 2x - 1 = 3x + 1
· 12 + 15
4
22.
5x - 4
10
+
3x - 3 9x - 2
4
=
12
24 11x - 3 _ 5x = - (4x + 3)
·
x - 3
25. -5-
+
4x - 5 ax - 6
10 = 15
12
4x - 2
26.
a -
3
5
5x - 3 - 2x - 1
4
=
6
Page 18 Equations with Fractions
~'&
Vl
© 1984 by Dale Seymour Pub
1. x = 24/31 2. x = 15/43 3. x = -5 4. x =
-13 5. x=7/5 6. x= -4 7. x= -43/4 8. x
= 2/27 9. x = 16/5 10. x = -21/11 11. x = 64/5
12. x = -3/4 13. x = 0 14. x = -4/7 15. x =
- 1/16 16. x = - 15/2 17. x = - 23/6 18. x = 0
19. x = - 15/2 20. x = 16/3 21. x = - 17/16
22. x = 22/15 23. x = -13/3 24. x = -7 25. x
= 21/2 26. x = 8/13
'PingSkills in Algebra
Book C
Name
C ~~ J Ier, '5E:::.
Factoring -
Gu~-bO"\r
Date
_
Period
_
Factor.
1. 4(p
+ q) - {p + q)
2..8(r - s) + s(r - s)
3. 12(a+ b)
4. 20(x
+ y)
5. (m - n)
+
a(a+ b)
- x(x
+ y)
+ 3(m -
n) - n(m - n)
+ s(r+ s)
6. (r+ s) - r(t+ s)
7. (a + b)(a - b) + (a + b)(a + c) - (a + b)(a - c)
8. (r
+ s)(s +
9. (2x - y)(x
10. (3a
t) - (r
+ y) + (2x -
+ b)(2a
- b)2 - (3a
11. x 2(a - b)(2a
12. a 4(3b
13. (3x
14. (m - 2n)(m
1)
+ (r + s)(s +
+ 2b)(2a
t)
- b)3
- b)
- a 2(b
+ 2c)
+ (3x + 2)(3x -
+ 3n)
+ 10)(3x -
t)
y)(x - y)
+ 3b) + x(a
+ c)(b + 2c)
+ 2)(3x -
15. 7x(3x
+ s)(s -
5)
- (m - 2n)(m - 3n)
5)
+ 14x2(2x + 1)(3x -
5)2
16. ~r(7r + 3s)2 - 15~(7r + 3s)
17. 12a3b 2(2a
+ 3b)
- 30ab(2a
+ 3b)(2a -
3b)
Page 66 Factoring
1. ~ (p + q) 2. (8 + s) (r - s) 3. (a + b) (12 + a)
4. (20 - x) (x + y) 5. (m - n) (1 + m - n)
6. (r+s)(1-r+s) 7. (a+b)(a-b+2c) 8. (r+s) (3t+s)
9. 2x(2x - y) 10. (2a - b)2 (a + 2b)
11. x(a-b) (2ax+3bx+1) 12. a 2(b+2c) (3a2b+a2c+1)
13. 6(3x + 2) (x-1) 14. 6n(m - 2n)
15. 7x(3x - 5) (6x 2 - 7x + 10) 16. 3r(7r + 3s) (2r + 3s)
17. 6ab(2a + 3b) (2a 2b - 10a + 15b)
66
Developing Skills in Algebra
Book B