Skip to content 1 What is the cost of travelling 15 km?
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2 Differentiate between the graphs of the equations y = 3x + 1, and y = -3x + 1.
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3 Identify other points on the line by completing the following table.
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4 Can you guess what the numbers 20 and 150 in the equation y = 20x + 150 represent (Refer to Example 11 on NCERT page no.
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5 What will be the height of the water at the end of 5 months (Refer to Example 10 on NCERT page no.
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6 Does this help you to conclude anything about the linear equation y = ax + b when a is fixed but b varies (Refer to Fig 2.13 in NCERT page no. 34)? [Page No. 35]
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7 If we multiply a number by 5/2 and add 2/3 to the product, we get -7/12.
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8 Write a polynomial of degree 3 in the variable x, in which the coefficient of the x2 term is -7.
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9 A positive number is 5 times another number.
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10 Find the values of the following polynomials at the indicated values of the variables.
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11 If you have ₹ 800 and you save ₹ 250 every month, find the amount you have after
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12 The digits of a two-digit number differ by 3.
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13 Draw the graph of the following equations, and identify their slopes and y-intercepts.
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14 The graph of a linear polynomial p(x) passes through the points (1, 5) and (3, 1
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15 The work done by a body on the application of a constant force is the product of the constant force and the distance travelled by the body in the direction of the force.
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16 If the temperature of a liquid can be measured in Kelvin units as x K and in Fahrenheit units as y °F, the relation between the two systems of measurement of temperature is given…
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17 Let p(x) = ax + b and q(x) = cx + d be two linear polynomials such that:
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18 Look at the first three stages of a growing pattern of hexagons made using matchsticks.
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19 Let p(x) = ax + b and q(x) = cx + d be two linear polynomials such that:
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20 What do all linear functions of the form f(x) = ax + a, a > 0, have in common?
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21 Sarita is reading a book of 500 pages.
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22 Suppose a plant has height 1.75 feet and it grows by 0.5 feet each month.
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23 The initial population of a village is 750.
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24 A telecom company charges ₹ 600 for a certain recharge scheme.
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25 A learning platform charges a fixed monthly fee and an additional cost per digital learning module accessed.
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26 A mobile phone is bought for ₹ 10,000.
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27 Consider the relationship between temperature measured in degrees Celsius (C) and degrees Fahrenheit (F), which is given by C = aF + b.
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28 A gym charges a fixed monthly fee and an additional cost per hour for using the badminton court.
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29 Draw the graphs of the following sets of lines.
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30 How is it different from the algebraic expression in Example 1 (Refer to NCERT page no.
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