LINEAR EQUATIONS AND SIMPLE INEQUALITES

LINEAR EQUATIONS

100

3x  - 7 = 4 - 8x

x = 1

200

2(y - 4) = 5y - 3

-1 2/3

300

5/2x + 3 1/2 + 2/3x + 5

x= 9/11

400

5/7y + 2 = 1/2y + 3 1/4

y = 5 5/6

500

The sum of two numbers, one of which is 5 times as large as the other, is 24. Find the two numbers.

20 and 4

LINEAR EQUATIONS

100

4x - 10 = 5x + 7

-x= 17

200

5 (x - 7) = 6

41/5 or 8 1/5

300

z+2 /3 = 3z+2 /5 

z = 1

400

If x²= 7a+4b / 3, find the value of a when x = 5 and b= 3.

a = 9

500

In a school, the number of boys who play soccer is three times of those who play badminton. If 12 boys who play soccer play badminton instead, the number of boys who play each of these sports would be the same. Find the number of boys who play badminton.

12 boys

SIMPLE INEQUALITES

100

-4x <28

X> -7

200

2m + 23 < 31

m<4

300

The sum if three consecutive ood integers is 165. 

Let the smallest be x, find the three odd integers.

53, 55, 57

400

x/2 + 3x/4 < 5 + 10/3

x < 6 2/3

500

Find two consecutive odd numbers such that the sum of the greater number and 5 times the smaller number is 92.

15 and 17

SIMPLE INEQUALITES

100

15x>75

x>5

200

4a + 25> 9

a > -4

300

5/y+2 = 2/y-4

y = 8

400

When a number is multiplied by 18, it gives the same result as when 425 is added to it. 

A) Let the number be x and construct an equation in terms of x.

B) Find the value of x

A) 18x = x + 425

B) x = 25

500

If v² = u² + 2gs, find the value of s when v = 25, u= 12 and g= 10.

24 1/20