NEW
Font size
S
M
L
XL
WorksheetsAlgebraic Manipulations
Total questions: 14
Worksheet time: 16mins
Name
Class
Date
1.
Expand 3(4y + 1)
a)
12y + 3
b)
12y + 1
c)
13y
d)
3y
2.
Expand and simplify 4(m + 3) + 3 (2m -5)
a)
4m + 12 + 6m + 15
b)
10m + 27
c)
4m + 12 + 6m - 15
d)
10m - 3
3.
Expand and simplify 4(2x - 1) + 3(x + 6)
a)
8x - 4 + 3x + 18
b)
11x + 2
c)
11x - 2
4.
Multiply out s(s2 + 6)
a)
s2 + 6s
b)
s3 + 6
c)
s3 + 6s
d)
6s3
5.
Expand (x + 8) (x - 2)
a)
x2 + 6x - 16
b)
x2 + 10x + 6
c)
x2 + 6x + 10
d)
x2 - 6x - 16
6.
Expand and simplify
(x + 4)2
a)
x2 + 16
b)
x2 + 4x + 4x + 16
c)
x2 + 8x + 16
d)
x2 + 4x
7.
Work out the value of p for the following:
(x - 3)2 = x2 + px + 9
a)
6
b)
-6
c)
0
d)
1
8.
Expand and simplify (x + 2)(x - 2)
a)
x2 + 2x + 4
b)
x2 + 4
c)
x2 + 2x - 2x - 4
d)
x2 - 4
9.
Factorise 4c + 12
a)
4 (c + 12)
b)
2 (2c + 6)
c)
4 (c + 3)
10.
Factorise fully 12y2 - 8y
a)
2 (6y2 - 8)
b)
2y (6y - 2)
c)
4y (3y2 - 2)
d)
4y (3y - 2)
11.
Factorise
y2 + 4y + 4
a)
y+2y-2
b)
(y + 2)(y + 2)
c)
(y + 4)(y + 1)
d)
(y - 2)(y - 2)
12.
x + 4 = y
What equation would you write for x?
a)
x = y + 4
b)
x = y - 4
c)
x = y ÷ 4
d)
x = y × 4
13.
Factorise x2 - 7x - 8
a)
(x - 1)(x + 8)
b)
(x + 1)(x + 8)
c)
(x + 1)(x - 8)
d)
(x - 1)(x - 8)
14.
y = 2(x - 8)
Expand and rearrange to obtain an equation for x
a)
x = y/2 - 8
b)
x = y/2 + 8
c)
x = 2y - 8
d)
x = 2y + 8
Reset
