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Worksheets

Expanding Brackets

Total questions: 20

Worksheet time: 19mins

Name
Class
Date
1.

Expand and simplify the following quadratic expression...


(x + 4)(x + 6)

a)

x2 + 10x + 24

b)

x2 + 10x + 10

c)

x2 + 24x + 10

d)

x2 + 24x + 24

2.

what is the missing blank

3( +2)=12x+6

a)

5

b)

6

c)

4

d)

3

3.

45(56+89x)

(a)  

4.

Expand and simplify


(h + 7)2

a)

h + 49

b)

h2 + 14h

c)

h2 + 49

d)

h2 + 14h + 49

5.

Expand and simplify


(p + 5) (p - 1)

a)

p2 + 4p - 4

b)

p2 + 6p - 4

c)

p2 + 4p - 5

d)

p2 - 4p - 5

6.

Expand and simplify


(y + 3) (y + 5)

a)

y2 + 8y + 15

b)

9y3 + 15

c)

y2 + 8y + 15

d)

y2 + 15x + 8

7.
Expand -3(x+3)
a)
-3x+9
b)
3x+6
c)
-3x-6
d)
-3x-9
8.
Expand -2(x-2)
a)
-2x+4
b)
2x-4
c)
-2x-4
d)
2x-2
9.

Simplify 2(3x+y)2\left(3x+y\right)   



(a)  

10.

Simplify 3(x5)3\left(x-5\right)   



(a)  

11.
4(d + e)
a)
4d + 4e
b)
4d + e 
c)
4 + 4e 
d)
d + e 
12.
3(b + c)
a)
3b + 3c
b)
3b + c 
c)
3 + 3c 
d)
b + c 
13.
2(3 + a) 
a)
6 + 2a
b)
5 + a 
c)
5 + 2a 
d)
6 + a
14.
Which of the following is the correct expansion of:
3p(4p - 7q)?
a)
7p - 10pq
b)
12pq - 21q2
c)
9q
d)
12p2 - 21pq
15.
Which of the following is the correct expansion of:
a(a - 10)?
a)
a2 - 10a
b)
2a - 10
c)
2a2 - 10
d)
a - 10a2
16.
Which of the following is the correct expansion of:
5(r - 2)?
a)
5r - 2
b)
5r +2
c)
5r + 10
d)
5r - 10
17.
30(g + f)
a)
30g + 30f
b)
30g 
c)
30f
18.
5(6 + cd)
a)
30 + 5cd
b)
5 + c 
c)
11 + 5c 
19.
10(f + 5)
a)
10f + 50
b)
f + 50 
c)
10f + 5 
d)
b + c 
20.

Expand the following brackets:

3 (d+4)

a)

3d + 4

b)

3d + 12

c)

d + 12

d)

3 + 4