Factorizing Algebraic Expressions Worksheet Page 13
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2
3
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5
6
7
8
9
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13
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15
16
17
182
x
25
(g)
2
x
3x 10
2
2x
32
(h)
2
+6x+8
x
3
2
x
9x
(i)
3x 27
2
2x
x 6
(j)
2
x
+x 6
2. Simplify the following by first finding a common denominator:
3
5x
(a)
+
x+2
x+3
4x
2
(b)
x 5
x+2
x+1
x+3
(c)
+
x+2
x+4
6
2
(d)
+
2
+5x+6
2
+8x+15
x
x
4
1
(e)
2
3x 10
2
+5x+6
x
x
2
x+3
(f)
2
x
+6x+9
x+3
2
+8x+15
x
x+3
(g)
2
+7x+10
x
x+2
2
2
x
9
x
(h)
2x+6
x 3
2x
x
(i)
x+1
x+3
3x
2x+1
(j)
2
x
+6x
x+6
3. Solve the following quadratic equations:
2
2
(a) x
6x + 8 = 0
(f) 2x
x
6 = 0
2
2
(b) x
+ 8x + 15 = 0
(g) 2x
13x
7 = 0
2
2
(c) x
+ 7x + 12 = 0
(h) 3x
10x
8 = 0
2
2
(d) x
+ 9x
22 = 0
(i) 7x
+ 13x
2 = 0
2
2
(e) x
7x + 12 = 0
(j) x
18x + 77 = 0
4. Solve the following equations using the quadratic formula. Write the answers to two
decimal places.
2
2
(a) x
3x + 1 = 0
(c) 3x
+ 2x
2 = 0
2
2
(b) 2x
6x
7 = 0
(d) 2x
13x + 7 = 0
Page 13
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