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Algebraic Fractions 2 worksheet

Name:                                    Date:
Simplify and write as a single fraction:

Question 1:     
7j - 2
7j
-
6j - 5
j
Question 2:     
7n + 6
5
+
n - 2
7
Question 3:     
3b - 1
1
+
6b + 1
2
Question 4:     
2d + 1
6
+
d + 2
3
Question 5:     
7v - 1
5v
+
5v + 6
7v
Question 6:     
3s - 4
4s
-
s - 3
5s
Question 7:     
a - 7
6a
+
2a - 1
5a
Question 8:     
5e + 7
6e
-
e + 6
4e
Question 9:     
4m + 7
6
-
3m + 4
9
Question 10:     
5q - 1
8
+
q - 4
9
Question 11:     
5u - 9
8u
+
7u - 4
3u
Question 12:     
4g + 1
8g
+
5g - 1
5g
Question 13:     
2z - 5
3
-
9z - 4
5
Question 14:     
2c - 5
3c
-
4c + 3
7c
Question 15:     
y + 8
7
-
5y - 9
4
Question 16:     
2f + 7
8f
+
2f + 1
5f
Question 17:     
t + 4
4t
-
5t - 1
t
Question 18:     
p - 2
2
-
8p + 5
8


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Answers

Question 1:     
(7j - 2)(6j - 5)
j(35j - 33)

Question 2:     
(7n + 6)(n - 2)
2(27n + 16)

Question 3:     
(3b - 1)(6b + 1)
12b - 1

Question 4:     
(2d + 1)(d + 2)
3(4d + 5)

Question 5:     
(7v - 1)(5v + 6)
v(74v + 23)

Question 6:     
(3s - 4)(s - 3)
-s(11s - 8)

Question 7:     
(a - 7)(2a - 1)
a(17a - 41)

Question 8:     
(5e + 7)(e + 6)
-2e(7e - 4)

Question 9:     
(4m + 7)(3m + 4)
-3(6m + 13)

Question 10:     
(5q - 1)(q - 4)
53q - 41

Question 11:     
(5u - 9)(7u - 4)
u(71u - 59)

Question 12:     
(4g + 1)(5g - 1)
3g(20g -1)

Question 13:     
(2z - 5)(9z - 4)
17z + 13

Question 14:     
(2c - 5)(4c + 3)
-2c(c - 22)

Question 15:     
(y + 8)(5y - 9)
31y - 95

Question 16:     
(2f + 7)(2f + 1)
f(26f + 43)

Question 17:     
(t + 4)(5t - 1)
t(19t - 8)

Question 18:     
(p - 2)(8p + 5)
2(4p + 13)

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