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(KSSM MATHS F4) LINEAR INEQUALITIES 1

Total questions: 10

Worksheet time: 16mins

Name
Class
Date
1.

Pn. Hidayah wants to prepare fish and prawn dishes in conjuction with the Hari Raya celebration. The cost of a kilogram of mackeral is RM22 and a kilogram of prawns in RM40. Pn. Hidayah wants to spend RM200 to buy fish and prawns. Which linear inequalities best represent the situation?

a)

22x + 40y > 200

b)

11x + 20y \le 100

c)

11x < 200

d)

100 < 11x + 20y

2.

Mr. Chong wants to rear chickens and ducks on a small scale to generate some extra income for managing his growing family expenses. A chick costs RM2 and a duckling costs RM1.50. Mr. Chong has a capital of RM500 to purchase the chicks and ducklings. Represent the situation in the form of linear inequality.

a)

1.5y \le 500 + 2x

b)

2x - 1.5y \le 500

c)

2x > 1.5y + 500

d)

2x + 1.5y \le 500

3.

Determine which linear inequalities satisfied by point (-1, 8)

a)

y < -3x + 4

b)

y > -3x + 4

c)

y < 3x + 4

d)

y < -4x - 3

4.

Determine which linear inequalities satisfied by point (3, 7)

a)

y > 4x - 5

b)

y = 4x + 5

c)

y = 4x - 5

d)

y < 4x - 5

5.

Given the linear equation y = -3x + 4. Which point satisfy the given equation?

a)

(4, 5)

b)

(1, 1)

c)

(3, 7)

d)

(2, 4)

6.

Mrs. Amy needs to buy curtain fabrics for her new house. She buys x metres of floral fabrics and y metres of abstract fabrics. The total length of both types of fabrics is not exceeding 120 metres. The length of the abstract fabrics is at least one third of the length of the floral fabrics. Which two linear inequalities, represent the conditions of the purchase of curtain fabrics by Mrs. Amy?

a)

x + y < 120 and y 13xx\ +\ y\ <\ 120\ \ \ \ and\ \ \ \ y\ \ge\ \frac{1}{3}x

b)

y < 13y and x + y >120y\ <\ \frac{1}{3}y\ \ and\ \ \ x\ +\ y\ >120

c)

x 13y and x + y > 120x\ \ge\ \frac{1}{3}y\ \ \ and\ \ \ x\ +\ y\ >\ 120

d)

x + y 120 and y 13xx\ +\ y\ \le\ 120\ \ \ and\ \ y\ \ge\ \frac{1}{3}x

7.

State the linear inequality that satisfy the shaded region as shown in the given diagram.

a)

y < 23x + 2y\ <\ \frac{2}{3}x\ +\ 2

b)

y > 23x + 2y\ >\ \frac{2}{3}x\ +\ 2

c)

y > 23x 2y\ >\ \frac{2}{3}x\ -\ 2

d)

y <23 x 2y\ <\frac{2}{3\ }x\ -\ 2

8.

State the linear inequality that satisfy the shaded region as shown in the diagram.

a)

x > -3

b)

x < -3

c)

x > 3

d)

x < 3

9.

State the linear inequality that satisfy the shaded region as shown in the diagram.

a)

y 2x 2y\ \ge\ -2x\ -\ 2

b)

y 2x 2y\ \ge\ 2x\ -\ 2

c)

y 2x 2y\ \le\ -2x\ -\ 2

d)

y > 2x 2y\ >\ -2x\ -\ 2

10.

State the linear inequality that satisfy the shaded region in the diagram shown.

a)

y 2y\ \le\ -2

b)

y < 2y\ <\ -2

c)

y 2y\ \ge\ -2

d)

y > 2y\ >\ -2