Introduction to Linear Polynomials — sample questions with answers.

4096 verified introduction to linear polynomials questions sit in the bank for this chapter alone. Here are 4 of them, worked; a free account gets a full, board-pattern paper across whichever chapters you pick.

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1 mark Multiple choice

If y = ax + b passes through (0, 7) and (-3, 19), then a =

(A) -3	(B) 12
(C) 7	(D) -4

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(d) -4

2 marks Short answer

The Celsius–Fahrenheit relation is °C = a·°F + b. Ice melts at 0 °C / 32 °F and water boils at 100 °C / 212 °F. Find a and b.

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a = 5/9, b = −160/9 (so °C = 5/9(°F − 32)).

3 marks Short answer

An auto charges ₹30 for the first 2 km and ₹8 for each km after that. (i) Write the fare for n km (n ≥ 2) as a linear expression in n. (ii) Find the fare for 12 km. (iii) For how many km is the fare ₹102?

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(i) 8n + 14 (ii) ₹110 (iii) 11 km

5 marks Long answer

A data plan's monthly bill is y = ax + b, where x is the GB used. 12 GB cost ₹560; 16 GB cost ₹680. (i) Set up two equations. (ii) Solve for a and b. (iii) Write the relationship. (iv) Find the bill for 25 GB. (v) How many GB give a bill of ₹710?

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(i) 560 = 12a + b and 680 = 16a + b. (ii) a = 30, b = 200. (iii) y = 30x + 200. (iv) ₹950. (v) 17 GB.

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