Quadratic Expressions Worksheets Page 19
ADVERTISEMENT
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36number and algebra
Write an expression for the area of the path in fully factorised form.
c
If the radius of the garden is 5 m, then find the area of the path, correct to 2 decimal
d
places. Show your working.
A roll of material is (x + 2) metres wide. Annie buys (x + 3) metres of the material
17
and Bronwyn buys 5 metres.
Write an expression, in terms of x, for the area of each piece of material purchased.
a
If Annie has bought more material than Bronwyn, write an expression for how much
b
more she has than Bronwyn.
Factorise and simplify this expression.
c
2
Find the width of the material if Annie has 5 m
more than Bronwyn.
d
How much material does each person have? Explain your answer.
e
PrOblem SOlVIng
– b
3
3
A polynomial in the form a
is known as the difference of two cubes.
The difference of two cubes can be factorised as:
– b
= (a – b)(a
+ ab + b
3
3
2
2
a
)
Use either the difference of two squares or the difference of two cubes to answer these
problem solving questions.
Factorise:
18
– 4xy + 4y
– a
+ 6ab – 9b
+ 9x
+ 27x − 37
2
2
2
2
3
2
x
x
a
b
Factorise:
19
− 1
− 75y
− 9(4x − 3)
3
2
2
27x
12x
a
b
Maths Quest 10 + 10A
286
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education