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Solutions for Algebraic Expressions

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Question 11

Question: Solve the following equation:

Answer:

2y-15=180
2y=180+15
2y=195

Question 12

Question: Solve graphically x - 2y = 1 and x + y = 4. Use 2cm = 1 unit on both axes and plot only 3 points per line.

Answer: x - 2y = 1
2y = x - 1

x + y = 4
y = 4 - x

Question 13

Question: Use a graph paper for this question. Draw the graphs of 2x-y-1 = 0 and 2x + y = 9 on the same axes. Use 2cm = 1unit on both the axes and plot only three points per line.
Write down the co-ordinates of the point of intersection of the two lines.

Answer: 2x - y - 1 = 0
y = 2x - 1

2x + y = 9
y = 9 - 2x

Question 14

Question: Solve graphically x + y + 2 = 0 and 3x - 4y = 5.
Take 2 cm=1 unit.Write down the co-ordinates of the point of intersection of the two lines.

Answer: a) x + y + 2 = 0
y = - x - 2

b) 3x - 4y = 5
4y =3x - 5

Question 15

Question: Draw the graph of:
(i) x = 5 (ii) x + 5 = 0 (iii) y = 7 (iv) y + 7= 0

Answer: i) x = 5
ii) x + 5 = 0
x = -5
iii) y = 7
iv) y + 7= 0
y = -7

Question 16

Question: Use the table given below to draw the graph. From the graph, find the values of 'a' and 'b', state the linear equation between the variables x and y.

Answer: a = 0
b = 3
Linear equation
2y = x + 1
Ans: i) a=0, b=3
ii) a = -1, b = 3
ii) 2y = x + 1

Question 17

Question: Draw the graph of 2x - y = 4.

Answer: 2x - y = 4
y = 2x - 4

Question 18

Question: Draw the graphs of the following equations
i) x + 3 = 0 ii) y - 3 = 0 iii) 2x + 3y = 12
Write down the co-ordinates of the triangle formed by these lines.

Answer: i) x + 3 = 0
x = -3
ii) y - 3 = 0
y = 3
iii) 2x + 3y = 12
3y = 12 - 2x