Lahore Grammar School Chapter 2 Revision Worksheet PDF

Lahore Grammar School Chapter 2 Name: _______________________________ Date: __________________ 1. Consider the equation 2𝑥 + 𝑦 = 2. a) Complete the following table. 𝑥 -4 0...

Lahore Grammar School Chapter 2 Name: _______________________________ Date: __________________ 1. Consider the equation 2𝑥 + 𝑦 = 2. a) Complete the following table. 𝑥 -4 0 4 𝑦 b) On a sheet of graph paper, using a scale of 2 cm to represent 1 unit on the x-axis and 1 cm to represent 1 unit on the y-axis, draw the graph of 2𝑥 + 𝑦 = 2 𝑓𝑜𝑟 − 4 ≤ 𝑥 ≤ 4. c) The point (p ,-2) lies on the graph in (b). Find the value of p. d) On the same axes in (b), draw the graph of 𝑥 = −0.5. e) State the coordinates of the point of intersection of the graphs of 2𝑥 + 𝑦 = 2 𝑎𝑛𝑑 𝑥 = −0.5 2. The variables 𝑥 𝑎𝑛𝑑 𝑦 are connected by the equation 5𝑥 − 3𝑦 = 2. Some values of 𝑥 and the corresponding values of 𝑦 are given in the table. 𝑥 -5 -2 7 𝑦 𝑝 -4 𝑞 a) Find the value of 𝑝 𝑎𝑛𝑑 𝑞. b) On a sheet of graph paper, using a scale of 1 cm to represent 1 unit on both axes, draw the graph of 5𝑥 − 3𝑦 = 2 𝑓𝑜𝑟 − 5 ≤ 𝑥 ≤ 7. c) Consider the equation 3𝑥 + 4𝑦 = 7. Complete the following table. 𝑥 -5 3 7 𝑦 d) On the same axes in (b), draw the graph of 3𝑥 + 4𝑦 = 7 e) Hence solve the simultaneous equations 5𝑥 − 3𝑦 = 2 𝑎𝑛𝑑 3𝑥 + 4𝑦 = 7 1 3. Solve each of the following pairs of simultaneous equations. 7𝑥 + 2𝑦 = 10 5𝑥 − 4𝑦 = 28 5𝑥 + 2𝑦 = 6 2𝑥 − 𝑦 = 2.5 2 4. Find the two numbers such that if 11 is added to the first number, a number twice the second number is obtained. If 20 is added to the second number, the number obtained is twice the first number. 5. 5 cups of ice-cream milk tea and 4 cups of bubble tea cost $26.80 whereas 7 cups of ice-cream milk tea and 6 cups of bubble tea cost $38.60. Find the difference between 1 cup of ice-cream milk tea and 1 cup of bubble tea. 3