CHAPTER 4

LINEAR EQUATION

Example of Linear Equation

(a) 2p – 3 = 15

(b) 3x – y = 8

(c) y = 34 t

Example of Non-Linear Equation

(a) m + 2n2 = 16

(b) x2 = 3 - 14 m

Solving Linear Equations

(a) x + 2 = 14

(b) x – 7 = 3

(c) 3x = 27

(d) x6 = -2

(e) 2x – 5 = 19

(f) 3x + 10 = -8

(g) 3m + 5 = 23

(h) 4p – 7 = -15

(i) 5x + 9 = -11

(j) 8y – 3 = 37

(k) 56 x + 3 = 13

(l) 3y + 16 = 8y – 9

(m) 10y – 13 = 11 – 2y

(n) 2m + 3 = 21

(o) 3n – 5 = 10

(p) 4p – 9 = -25

(q) 23 m – 5 = 21

(r) 9 + 58 x = 24

(s) 5x – 2 = 10 + 3x

Example 1

A box contains (x + 3) blue balls and the amount of red balls are twice the amount of blue balls. If the total balls in the box is 24, calculate the value of x.

Example 2

When a number is multiplied with 3 and then is divided by 5, it is equivalent to 18. Find the number.

Example 3

The Perimeter for the following figure is 38cm. Calculate the value of x.

(2x + 1) cm

(x – 3) cm

Example 4

Solve 3(27 – 7) = 4y – 9

Example 5

3 p−72 = p – 5, find the value of p.

Example 6

3x – 5o

P x + 15o 2x – 10o R

Q

The figure shows, PQR is a straight line. Find the value of x.

Example 7

(a) 6k = -30

(b) 3 + 4m5 = 11

(c) 7 x5 – 8 = 13

Example 8

3cm

8cm

(2x + 3) cm

The figure shows a cuboid. If the volume of the cuboid is 312 cm3, find the value of x.