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Question 13 Marks
virat made twice as many runs as Rohit. The total of their scores is 2 less than a double century. How many runs did each of them make ?
Answer
Let the runs made by Rohit be $x$.
$\therefore$ Runs made by Virat $=2 x$
According to the given condition,
$
\begin{aligned}
& x+2 x=200-2 \\
& \therefore 3 x=198 \\
& \therefore x=\frac{198}{3}=66
\end{aligned}
$
$\therefore$ Runs made by Virat $=2 x=2 \times 66=132$
$\therefore$ The runs made by Virat and Rohit are 132 and 66 respectively.
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Question 23 Marks
Answer the following questions.
  1. 3x + 4y = How many ?
  2. 3 guavas + 4 mangoes = 7 guavas.
  3. 7m – 2n = 5m.
Answer
  1. 3x and 4y are unlike terms. Hence, they cannot be added, further to get a single term.
  2. No. Guava and mango are different fruits. Hence, 3 guavas + 4 mangoes & 7 guavas.
  3. No. 7m and 2n are unlike terms. Hence, 7m – 2n ≠ 5m.
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Question 33 Marks
Classify the following algebraic expressions as monomials, binomials, trinomials or polynomials.
i. 7x
ii. 5y – 7z
iii. 3x³ – 5x² – 11
iv. 1 – 8a – 7a² – 7a³
v. 5m – 3
vi. a
vii. 4
viii. 3y² – 7y + 5
Answer
i. Monomial
ii. Binomial
iii. Trinomial
iv. Polynomial
v. Binomial
vi. Monomial
vii. Monomial
viii. Trinomial
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