Mat 1101 Test 3 Worksheet With Answers - 2010 Page 2

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Factor the following completely:
4
7
3
2
2
6
2
2
17) 16x
y
+ 4x
y
– 20x
y
18) x
– 7x – 18
19) 4x
– 49
2
2
2
5
4
4x
y
(4x
y
+ x – 5y
)
(x – 9)(x + 2)
(2x + 7)(2x – 7)
3
2
2
20) 6x
– 9x
–10x + 15
21) 6x
+ 7x – 20
2
(2x – 3)(3x
– 5)
(3x – 4)(2x + 5)
3
9
12
36
7
x
x
x
22) Divide and simplify:
23) Add and simplify:
÷
+
3
2
2
3
2
+
2
2
4
4
x
x
+
x
x
x
x
2
1
5
21
+
+
x
x
x
2
(
) 1
(
3
)(
) 2
+
+
x
x
x
x
4
5
24) Subtract and simplify:
1
x
x
5
+
x
(
) 1
x
x
Given f(x) = 5x + 7 and g(x) = 8x – 2 , find the following:
25) (f + g)(x)
26) (f – g)(x)
27) (f ◦ g)(x)
28) (f • g)(x)
2
13x + 5
–3x + 9
40x – 3
40x
+ 46x – 14

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