Test:
Algebraic expressions I - Challenging
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Question 1:
Simplify the expression
x
2
+
(
x
2
+
3
)
+
x
(
2
-
0.5
x
)
A
1.5
x
2
+
2
x
+
3
B
0.5
x
2
+
3
C
1.5
x
2
-
2
x
+
3
D
1.5
x
2
-
2
x
-
3
Question 2:
Simplify:
(
-
4
a
5
b
3
)
2
(
-
1
2
a
b
)
A
8
a
11
b
7
B
-
4
a
8
b
6
C
4
a
8
b
6
D
-
8
a
11
b
7
Question 3:
Find
24
%
of
(
2
1
7
+
3
14
)
:
(
4
5
7
)
A
12
B
0.12
C
120
D
1.2
Question 4:
The difference in the squares of two numbers is 25, the sum of these numbers is also 25. Find these numbers.
A
13
and
12
B
11
and
14
C
10
and
15
D
20
and
5
Question 5:
Simplify:
(
1
+
c
2
)
2
-
2
c
2
A
1
-
c
B
1
+
c
C
1
-
c
2
D
1
+
c
4
Question 6:
Simplify:
(
2
x
2
y
)
3
(
-
x
y
3
)
2
A
-
2
x
y
B
2
x
7
y
8
C
8
x
8
y
9
D
-
8
x
8
y
9
Question 7:
Factorise:
27
a
2
-
a
5
A
a
2
(
3
-
a
)
(
9
+
3
a
+
a
2
)
B
a
2
(
3
+
a
)
(
9
+
3
a
+
a
2
)
C
(
3
-
a
)
(
9
+
3
a
+
a
2
)
D
(
3
-
a
)
(
3
+
a
)
Question 8:
Reduce:
a
+
9
-
6
a
a
-
9
A
a
-
3
a
+
3
B
a
+
3
a
-
3
C
6
a
D
a
+
3
a
-
3
Question 9:
Remove irrationals from the denominator:
2
-
a
2
+
a
A
(
2
-
a
)
2
2
-
a
2
B
2
2
C
(
2
+
a
)
2
2
+
a
D
2
+
a
2
Question 10:
Determine value of
m
for which equations have the same root:
2
x
-
3
=
7
and
m
-
2
x
=
1
A
-
11
B
11
C
12
D
-
12
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