EXPAND 1

Expand 10w(15w – 3)

Solution

= 10w(15w – 3)

= (150w x 5w) – (10w x 3)

= 750w² – 30w answer

TRY THIS………..

Expand 4y(9y+ 10)

ALGEBRA 5

ALGEBRA 4

LOGARITHMS 3

If log₉(4x + 17)=2; find x.

   Solution

Log₉(4x + 17)=2

(4x + 17)=9²           

                                            

4x + 17=81

4x =81 – 17

4x = 64

4x =   64   

4        4

x = 16

Hence x = 16

TRY THIS………………

If log₇(2t - 25)=2; find t

RADICALS 1

VARIATIONS 2

x is inversely proportional to y. x=12 while y=5. Find y when x is 4.

Solution

x ⍺ k

      y

x = k

      y

12 = k

        5

k = 12 x 5

k = 60

,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,

k = 60, y= ?, x = 4.

x = k

      y

4 = 60

        y

y x 4 = 60  x  y   (multiply by y on both sides)

              y

4y = 60

4      4

y = 15  .

TRY THIS…………….

x is inversely proportional to y. x=200 while y=4. Find y when x is 8.

LOGARITHMS 2

If Log_ax = 0.74, find Log_a(¹/x)

Solution

= Log_a(¹/x)

= Log_ax^-1

= -1 x Log_ax

= -1 x 0.74

= -0.74

TRY THIS………..

If Log_ab= 0.41, find Log_a(¹/b)

POLYGONS 2

A regular polygon has 37 sides. Find the total angles of that polygon.

Solution

n = 37

Total angles = (n - 2)180⁰

                    = (37 – 2)180⁰

                    = 35 x 180⁰

                    = 6300⁰

Total angles = 6300⁰

TRY THIS……………………….

A regular polygon has 67 sides. Find the total angles of that polygon.

PERCENT PROFIT 1

A man got a profit of 1500/= after selling an item. Find the buying price if the percentage profit was 10%.

Solution

%’ge profit = Profit   X  100    where B. P. represents Buying Price.

                         B.P

10% = 1500   X  100   

            B.P.

10% = 150000   

               B.P.

B.P. x 10% = 150000   x B.P.

                       B.P.

B.P. x 10 = 150,000   

        

B.P. x 10¹ =   150000    [dividing by 10 both sides]

  ₁10                   10

B.P. = 15,000

                      

Hence Buying Price was 15,000/=

TRY THIS………………

A man got a profit of 2400/= after selling an item. Find the buying price if the percentage profit was 30%.

ALGEBRA 3

If  x+3y = 1            find  ^x/y             

    2x-3y    3

Solution

x+3y = 1           

2x-3y   3

1(2x-3y) = 3(x+3y)           [after cross multiplying]

2x-3y = 3x+9y

2x - 3x = 9y + 3y

-x = 12y

¹-x = 12y

₁-1    -1 ₁

 x = -12y

     

x = -12y

y       y

x = -12

y    

Hence ^x/_y = -12  answer.          

TRY THIS......................

If  x+2y = 1            find  ^x/y             

    x- 2y     5