Q9 of 14 Page 119

Solve the following equations.

(1) 17 (x + 4) + 8 ( x + 6) = 11( x +5) + 15 (x +3)


(2)


(3) 5(1 - 2 x) = 9(1 - x)


(1) Opening the brackets


17x + 68 + 8x + 48 = 11x + 55 + 15x + 45


25x + 116 = 26x + 100


26x – 25x = 116 – 100


So, x = 16


(2) Taking L.C.M



6y + y + 4 = 20 – (y - 2)


7y + 4 = 20 – y + 2


8y = 18


y =


So, y =


(3) Opening the brackets


5 – 10x = 9 – 9x


So, x = -4


More from this chapter

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7

The length of a chord of a circle of 16.8 cm, the radius is 9.1 cm. Find its distance from the centre.

 8

The following tables shows the number of male and female workers, under employment guarantee scheme, in villages A, B, C and D.

(1) Show the information by a sub-divided bar-diagram.


(2) Show the information by a percentage bar diagram.


 10

Complete the activity according to the given steps.

(1) Draw rhombus ABCD. Draw diagonal AC.


(2) Show the congruent parts in the figure by identical marks.


(3) State by which test and in which correspondence ∆ ADC and ∆ ABC are congruent.


(4) Give reason to show ∠DCA ≅ ∠BCA, and ∠DAC ≅ ∠BAC


(5) State which property of a rhombus is revealed from the above steps.


 11

The shape of a farm is a quadrilateral. Measurements taken of the farm, by naming its corners as P, Q, R, S in order are as follows. l(PQ) = 170 m, l(QR) = 250m, l(RS) = 100 m, l(PS) = 240 m, l(PR) = 260 m.

Find the area of the field in a hectare (1 hectare = 10,000 sq.m)