Quadratic Expressions Worksheets Page 25
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36NUMBER AND ALGEBRA
Exercise 7.6 Mixed factorisation
INDIVIDUAL PATHWAYS
PRACTISE
CONSOLIDATE
MASTER
REFLECTION
When an expression is
Questions:
Questions:
Questions:
fully factorised, what
1–6, 8–10, 12–15, 18, 20, 21,
1, 2, 4–9, 11, 13–16, 18–20, 22,
1–9, 13–15, 17, 18, 20, 23, 24,
should it look like?
25, 26, 31–35, 46, 48
26–29, 30, 34, 36, 38, 40, 42,
26, 34–37, 39, 41, 43, 45, 47h–j,
44, 46, 47a–g, 48, 49, 52
48, 50–53
Individual pathway interactivity
int-4600
FLUENCY
Factorise each of the following expressions in questions
–
.
1
45
+ 4x + 4 − 9y
3x + 9
2
2
x
2
1
2
− 36
2
− 49
x
x
3
4
doc-5249
doc-5249
doc-5249
− 9x − 2
15x − 20y
2
5x
5
6
5c + de + dc + 5e
− 80
2
5x
7
8
−x
2
− 6x − 5
2
+ x − 12
x
9
10
doc-5252
doc-5252
doc-5252
mn + 1 + m + n
− 7
2
x
11
12
− 4x
+ 60x + 100
2
2
16x
5x
13
14
doc-5248
doc-5248
doc-5248
18 + 9x − 6y − 3xy
2
− 8x + 16 − y
2
x
15
16
+ 8
fg + 2h + 2g + f h
2
4x
17
18
− 5
10mn − 5n + 10m − 5
2
x
19
20
+ 6x + 5
− 10x − 11
2
2
x
x
21
22
− 4
−5a + bc + ac − 5b
2
x
23
24
xy − 1 + x − y
+ 5x + 2
2
3x
25
26
− 28
−4x
− 28x − 24
2
2
7x
27
28
2p − rs + pr − 2s
− 27
2
3x
29
30
−3u + tv + ut − 3v
− 11
2
x
31
32
− 7x + 1
(x − 1)
− 4
2
2
12x
33
34
(x + 2)
2
− 16
(2x + 3)
2
− 25
35
36
3(x + 5)
− 27
25 − (x − 2)
2
2
37
38
4(3 − x)
− 16y
(x + 2y)
− (2x + y)
2
2
2
2
39
40
(x + 3)
2
− (x + 1)
2
(2x − 3y)
2
− (x − y)
2
41
42
(x + 3)
+ 5(x + 3) + 4
(x − 3)
+ 3(x − 3) − 10
2
2
43
44
2(x + 1)
+ 5(x + 1) + 2
2
45
UNDERSTANDING
Consider the following product of algebraic fractions.
46
+ 3x − 10
+ 4x + 4
2
2
x
x
×
− 4
− 2x − 8
2
2
x
x
Factorise the expression in each numerator and denominator.
a
Cancel factors common to both the numerator and the denominator.
b
Simplify the expression as a single fraction.
c
Maths Quest 10 + 10A
292
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