Subtract the following using the number line.
(i) –3 – (–2) 
(ii) +6 – (–5)

Find the value of :
(i) (-11) - (-33) 
(ii) (-90)-(-50)

What is the balance in Chezhiyan’s account as a result of a purchase for Rs. 1079, if he had an opening balance of Rs. 5000 in his account?

A submarine is at 300 feet below the sea level. If it ascends to 175 feet, what is its new position?

In a competitive exam 4 marks are given for every correct answer and (-2) marks are given for every incorrect answer, kalaivizhi attended the exam and answered all the questions and scored 20 marks only even though she got 10 correct answers. How many questions did she answer incorrectly?

Find the area of the rhombus whose side is 17 cm and the height is 8 cm.

Calculate the area of the rhombus having diagonals equal to 6 m and 8 m.

If the area of the rhombus is 60 sq. cm and one of the diagonals is 8 cm, find the length of the other diagonal.

Add the expressions:
(i) pq −1 and 3pq + 2
(ii) 8x + 3 and 1 − 7x

Subtract:
i) 7pq from 11pq
ii) – a from a
iii) 5x + 7 from 21x + 9

Simplify:100x + 99y – 98z + 10x + 10y + 10z – x – y + z

Mani and his friend Mohamed went to a hotel for dinner. Mani had 2 idlies and 2 dosas whereas Mohamed had 4 idlies and 1 dosa. If the price of each idly and dosa is x and y respectively, then find the bill amount in x and y

60 workers can spin a bale of cotton in 7 days. In how many days will 42 workers spin it?

(i) Name the angle that corresponds to \(\angle\)1.
(ii) Name the angle that is alternate interior to \(\angle\)3.
(iii) Name the angle that is alternate exterior to \(\angle\)8.
(iv) Name the angle that corresponds to \(\angle\)8.
(v) Name the angle that is alternate exterior to \(\angle\)7.
(vi) Name the angle that is alternate interior to \(\angle\)6.

If l is parallel to m, find the measure of x and y in the figure.