Page 17 - Focus KSSM SPM 2021 TG4.5 - Maths DLP

Mathematics SPM Chapter 6 Linear Inequalities in Two Variables
Given the number of tree C planted should not 11. A patient needs a minimum of 100 units nutrient A
more than the number of tree D by 5 and the cost and less than 120 units nutrient B per day. The table
of planting trees must less than RM120. Let the below shows the content of both nutrients in two
number of tree C planted is x and the number of tree types of food.
D planted is y.
(a) Write two linear inequalities other than x  0 Food Nutrient content in every 1 gram
and y  0 which represent the above situation. Nutrient A Nutrient B
(b) Draw and shade the region that satisfies the P 0.5 unit 0.2 unit
above system of linear inequalities. Q 0.2 unit 0.3 unit
(c) From the graph,
(i) determine the maximum number of tree Given that the intake of food P is not more than
C that can be planted if Mr Goh planted 5 twice the intake of food Q. Let x be the number of
tree D. intake of food P and y be the number of intake of
(ii) can Mr Goh plant 20 tree D? Justify your food Q.
answer. (a) Write a system which consists of three linear Form 4
inequalities that represent the above situation.
(b) Using a scale of 2 cm to 100 grams on both
Form 4
axes, construct and shade the region that
satisfies the system of linear inequalities.
(c) From the graph, if the patient takes 270 grams
of food P, find the maximum number of grams
of food Q that he can take on that day.

SPM Practice 6
SPM Practice

PAPER 1 4. Which of the points is the solution of the linear
inequality x – 3y  4?
1. Nutritionists recommend that fat calories, y kcal, A (1, 3) C (5, –1)
which consumed daily, must be at most 30% of B (2, –1) D (–3, –7)
the total calories, x kcal, taken daily. 5. Choose the inequality that represents the graph
below.
Choose linear inequality that represent the situation y
above.
A y  0.3x 4
B y  30x 2
C y  0.3x
D y  30x –4 –2 0 2 4 x
–2
2. Which of the points lies below the line y = 4x + 3?
A (2, 15) –4
B (–3, 0)
C (–1, –2) A y  1 – 2x C y  1 – 2x
D (1, 7) B y  1 – 2x D y  1 – 2x
6. Which of the following is the correct statement for
3. Point P(2, –3) satisfies inequality Q. Which of the the region of inequality y  2x + 7?
following is inequality Q? A Line y = 2x + 7 is a dashed line and the region
A y  7 + x above the line is shaded.
B y  4x – 6 B Line y = 2x + 7 is a solid line and the region
C y  1 – 3x below the line is shaded.
D y  5 – 2x C Line y = 2x + 7 is a dashed line and the region
below the line is shaded.
D Line y = 2x + 7 is a solid line and the region
above the line is shaded.

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06 Focus SPM Maths F4.indd 97 17/02/2021 5:24 PM