Find x: (i) – 3(4x + 9) = 21 (ii) 20 – 2 ( 5 – p) = 8 (iii) (7x – 5) – 4(2 + 5x) = 10(2 – x)

Find x and m: (i)\(\frac { 3x-2 }{ 4 } =\frac { (x-3) }{ 5 } =-1\) 
(ii) \(\frac { m+9 }{ 3m+15 } =\frac { 5 }{ 3 } \)

The sum of three consecutive odd numbers is 75. Which is the largest among them?

A total of 90 currency notes, consisting only of Rs.5 and Rs.10 denominations, amount to Rs.500. Find the number of notes in each denomination.

A number consists of two digits whose sum is 9. If 27 is subtracted from the original number, its digits are interchanged. Find the original number.

The denominator of a fraction exceeds its numerator by 8. If the numerator is increased by 17 and the denominator is decreased by 1, we get \(\frac { 3 }{ 2 } \). Find the original fraction.

Use the graph to determine the coordinates where each figure is located
a) Star _______
b) Bird _______
c) Red Circle _______
d) Diamond _______
e) Triangle _______
f) Ant _______
g) Mango _______
h) Housefly _______
i) Medal _______
j) Spider _______

Will a line pass through (2, 2) if it intersects the axes at (2, 0) and (0, 2).

A line passing through (4, −2) and intersects the Y-axis at (0, 2). Find a point on the line in the second quadrant.

Draw the graph of (i) y = −3 x ii) y = x −4 iii) y = 2x + 5

The following is a table of values connecting the radii of a few circles and their circumferences (Taking \(\pi =\frac { 22 }{ 7 } \)) Illustrate the relation with a graph and find
(i) The radius when the circumference is 242 units.
(ii) The circumference when the radius is 24.5 units.

Radius (r)	Circumference (2πr)
7	2 x \(\frac { 22 }{ 7 } \) x 7=44
14	2 x \(\frac { 22 }{ 7 } \) x 14=88
21	2 x \(\frac { 22 }{ 7 } \) x 21=132
28	2 x \(\frac { 22 }{ 7 } \) x 28=176
35	2 x \(\frac { 22 }{ 7 } \) x 35=220
42	2 x \(\frac { 22 }{ 7 } \) x 42=264
49	2 x \(\frac { 22 }{ 7 } \) x 49=308

The sum of three numbers is 58. The second number is three times of two-fifth of the first number and the third number is 6 less than the first number. Find the three numbers.

Two equal sides of an isosceles triangle are 5y−2 and 4y+9 units. The third side is 2y+5 units. Find ῾y᾿ and the perimeter of the triangle.

Three consecutive integers, when taken in increasing order and multiplied by 2, 3 and 4 respectively, total up to 74. Find the three numbers.

A mobile vendor has 22 items, some which are pencils and others are ball pens. On a particular day, he is able to sell the pencils and ball pens. Pencils are sold for Rs.15 each and ball pens are sold at Rs.20 each. If the total sale amount with the vendor is Rs.380, how many pencils did he sell?