BMT1014
TUTORIAL 1
1. Determine whether each of the following statement is either TRUE or FALSE.
a)
b)
c)
d)
0/0 is a rational number.
-3 is to the right of -4 on the real-number line.
The negative of 7 is -1/7.
x − y = −y + x
2. Perform the indicated operation and simplify:
a) (4a 2 − 2ab + 3) + (5c − 3ab + 7 )
b)
k 3(k + 2 )(k − 4 ) + 53k (k − 7 ) (2 x + 3 y )2
c)
(2x + 3 y )2 − (2 y + 1)(3x − 2) + 2(x − y )
d)
3
2
+ 2
x − x−6 x + x−2
e)
2
2 ( x + 1)
5
−
(2 x + 6) 2
4
f)
( 2 x + 1) − ( 3x − 2 )
g)
10 x 3
5x

2
x −1 x +1
h)
2
+2
x+2
8
x−
x
2
2
+ 5x ( 2 − x )