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Algebraic manipulation
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Browse Algebraic manipulation
44 questions at your level
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Level 1
Level 2
Level 3
Level 4
Level 5
Simplifying expressions
12 questions
Lesson
Not started
Mark as done
Simplify
(a)
5
a
+
3
b
−
2
a
+
4
b
5a + 3b - 2a + 4b
5
a
+
3
b
−
2
a
+
4
b
(b)
4
c
×
3
c
2
4c \times 3c^2
4
c
×
3
c
2
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Level 3
2 marks
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→
Mark as done
Simplify
(a)
m
5
×
m
3
m^5 \times m^3
m
5
×
m
3
(b)
12
n
7
÷
3
n
2
12n^7 \div 3n^2
12
n
7
÷
3
n
2
(c)
(
2
p
3
)
4
(2p^3)^4
(
2
p
3
)
4
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Level 3
3 marks
Start
→
Mark as done
Simplify
(a)
8
k
6
÷
2
k
3
8k^6 \div 2k^3
8
k
6
÷
2
k
3
(b)
w
4
×
w
×
w
3
w^4 \times w \times w^3
w
4
×
w
×
w
3
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Level 3
2 marks
Start
→
Expanding brackets
18 questions
Lesson
Not started
Mark as done
(a)
Expand
5
(
2
x
−
3
)
5(2x - 3)
5
(
2
x
−
3
)
(b)
Expand and simplify
3
(
2
x
+
1
)
−
2
(
x
−
4
)
3(2x + 1) - 2(x - 4)
3
(
2
x
+
1
)
−
2
(
x
−
4
)
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Level 3
3 marks
Start
→
Mark as done
Expand and simplify
(
x
+
7
)
(
x
−
3
)
(x + 7)(x - 3)
(
x
+
7
)
(
x
−
3
)
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Level 3
2 marks
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→
Mark as done
Expand and simplify
6
(
2
x
−
1
)
−
3
(
x
−
4
)
6(2x - 1) - 3(x - 4)
6
(
2
x
−
1
)
−
3
(
x
−
4
)
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Level 3
2 marks
Start
→
Factorising with common factors
15 questions
Lesson
Not started
Mark as done
Factorise
(a)
6
x
+
15
6x + 15
6
x
+
15
(b)
x
2
+
9
x
x^2 + 9x
x
2
+
9
x
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Level 3
2 marks
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→
Mark as done
Factorise
fully
9
x
2
+
6
x
9x^2 + 6x
9
x
2
+
6
x
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Level 3
2 marks
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→
Mark as done
Leah is trying to make
w
w
w
the subject of
y
=
w
4
−
6
y = \dfrac{w}{4} - 6
y
=
4
w
−
6
Here is her working.
y
+
6
=
w
4
y + 6 = \frac{w}{4}
y
+
6
=
4
w
4
×
y
+
6
=
w
4 \times y + 6 = w
4
×
y
+
6
=
w
w
=
4
y
+
6
w = 4y + 6
w
=
4
y
+
6
Leah's answer is wrong.
(a)
What mistake has Leah made?
(1 mark)
(b)
Factorise fully
6
a
2
b
−
15
a
b
2
6a^2b - 15ab^2
6
a
2
b
−
15
a
b
2
(2 marks)
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Level 3
3 marks
Start
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