Q1.) Solve the following equations
a.) 3x - 4 b.) 2x - 1 3(x+2) c.) 3(1-2x)=12
d.)6(x+1)10=-4
------ = 8 ------ = x- ------
7 3 5
e.) x+3
--- = x+6
2
Q2.) simplify
a.) 4(c-d) - 3(c+2d)
b.) (g-h) -4(g+3h)
c.) 5(p-2q-r)+3(p-q+2r)
d.) x(x-4)+3(x-2)
2 2
e.) x(x +1)-x (x+1)
Q3.) solve the equations
a.) 3(2x-6)-5(x+7)=13
b.) 3(6-x)-3(6+x)= -42
c.) 4(x-3)+3(x+9)=24
Q4.) if a=1, b= -1 and c= 0 find the value of:
a.) abc
b.) 5(a+b)
c.) 6b-4a
3
d.) (a-b)
2 2 2
e.) 2a + 3b + 4c
f.)5a - 4b
Q5.) simpilify
2 2 3 2
a.) 12a b b.) 7c d c.) 25e f d.)10b 2b
----- ---- ------- --- - -- -6
3ab 54cd 15ef 3 9
2
e.) 4c 5c f.) (3d-1) (2-d) g.) 3(x-2y) -x(3x-4y)
-- + -- ------ + ----
15 6 3 4
2 2 2 2 2 4
h.) (x - y ) + 2x y -x
Q6.) solve the simultaneuos equations
a.) 4x+3y=34, x-3y=1
b.) 3x+4y=10, 2x+3y=8
Q7.) Expand the following
a.) (x+5)(x+1)
b.) (x+4)(x-4)
c.) (3x-4)(2x-3
Q8.) Factorise the following
a.) 3xy+10yz
b.) 2ca-2cb
c.) 12abc+6a-3b+9c
2 2
d.) a b - ab
Q9.)
a.) IF ax+by = c, find in terms of a,b,c and x
b.) IF v=u+at, find 'a' in terms of u,v,t
c.) IF a=d( 1+ m ) find 'M' in terms of A and D
--
10
d.) IF an=180n - 360 find 'n' in terms of 'a'
Q10.) simplify indices
2 -2
a.) a x a
4 2 5
b.) (b ) x b
---------
11
b
Q11.) find the value of: Q12.) find the value of 'x':
-2 x
a.) 7 a.) 2 = 64
-3 x
b.) 2 b.) 3 = 81
x 1
c.) 4 = --
16
[ note: please indicate which answer belongs to which answer. All the
numbers that are above one another are meant to be { to the power of)]
and show your working out] |
