Class 9 Introduction to Linear Polynomials Mock Test (CBSE)

Topics in Introduction to Linear Polynomials

• Linear polynomials
• Linear patterns
• Linear growth and linear decay
• Linear relationships
• Graphs of linear relationships

Introduction to Linear Polynomials practice questions with answers

1. Q1Multiple choice·1 mark
   What is the zero of the linear polynomial $p(x) = 3x - 6$?

   1. (a)$2$
   2. (b)$-2$
   3. (c)$3$
   4. (d)$6$
   Show answer and step marks

   1. Correct option: (a) $2$+1

   Answer: (a)
2. Q2Multiple choice·1 mark
   A candle burns at a constant rate. Its height $h$ (in cm) after $t$ hours is given by the linear relationship $h = 12 - 1.5t$. What is the initial height of the candle?

   1. (a)$1.5\text{ cm}$
   2. (b)$12\text{ cm}$
   3. (c)$10.5\text{ cm}$
   4. (d)$8\text{ cm}$
   Show answer and step marks

   1. Correct option: (b) $12\text{ cm}$+1

   Answer: (b)
3. Q3Multiple choice·1 mark
   The linear polynomial representing the profit $P$ (in thousands of rupees) of a company after $x$ months is given by $P(x) = 45x - 315$. The number of months required to achieve a profit of ₹ $5,85,000$ ($585$ thousands) is:

   1. (a)$20$ months
   2. (b)$15$ months
   3. (c)$25$ months
   4. (d)$18$ months
   Show answer and step marks

   1. Correct option: (a) $20$ months+1

   Answer: (a)
4. Q4Multiple choice·1 mark
   The graph of the linear equation $y = 2x + 1$ intersects the $y$-axis at:

   1. (a)$(0, 1)$
   2. (b)$(1, 0)$
   3. (c)$(0, 2)$
   4. (d)$(2, 0)$
   Show answer and step marks

   1. Correct option: (a) $(0, 1)$+1

   Answer: (a)
5. Q5Assertion and reason·1 mark
   Assertion (A): The zero of the linear polynomial $p(x) = 3x + 9$ is $-3$. Reason (R): The zero of a linear polynomial $p(x) = ax + b$ is found by equating $p(x) = 0$, which gives $x = -\frac{b}{a}$.

   1. (a)Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
   2. (b)Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).
   3. (c)Assertion (A) is true but Reason (R) is false.
   4. (d)Assertion (A) is false but Reason (R) is true.
   Show answer and step marks

   1. Correct option: (a)+1

   Answer: (a)
6. Q6Multiple choice·1 mark
   The graph of the linear polynomial $y = mx + c$ passes through the points $(2, 5)$ and $(4, 11)$. If this line is translated downwards by $3$ units, the $x$-intercept of the new line is:

   1. (a)$\frac{2}{3}$
   2. (b)$\frac{4}{3}$
   3. (c)$\frac{5}{3}$
   4. (d)$\frac{1}{3}$
   Show answer and step marks

   1. Correct option: (b) $\frac{4}{3}$+1

   Answer: (b)

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