Match correctly the equation to their solution. Equation Solution (i) m + 30 = 4 (a) 12 (ii) - 9 x = - 45 (b) 15 (iii) - n 3 = - 4 (c) - 26 (iv) n - 10 = - 3 (d) 5 (v) - 4 5 y = - 12 (e) 7

We know that, the process of finding the number a variable represents in an equation is called solving the equation. So, to find variable in the given equation we will add similar terms. So, m + 30 = 4 ⇒ m = 4 - 30 ⇒ m = - 26 And - 9 x = - 45 ⇒ x = - 45 - 9 ⇒ x = 5 And - n 3 = - 4 ⇒ n = - 4 × - 3 ⇒ n = 12 And n - 10 = - 3 ⇒ n = - 3 + 10 ⇒ n = 7 And - 4 5 y = - 12 ⇒ y = - 12 × - 5 4 ⇒ y = 15 So, Equation Solution (i) m + 30 = 4 (c) - 26 (ii) - 9 x = - 45 (d) 5 (iii) - n 3 = - 4 (a) 12 (iv) n - 10 = - 3 (e) 7 (v) - 4 5 y = - 12 (b) 15

E M B I B E

New Mathematics Today Class 7>Chapter 12 - Linear Equations in One Variable>Exercise>Q 16

MEDIUM

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IMPORTANT

Earn 100

In basketball game a field goal counts $2$ points and a foul shot one point. Shreyash scored $14$ points in a game. He made $3$ times as many field goal as foul shots. On how many shots of each kind did he score?

Important Questions on Linear Equations in One Variable

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IMPORTANT

New Mathematics Today Class 7>Chapter 12 - Linear Equations in One Variable>Exercise>Q 17

The length of a rectangle is

6 m

less than twice its breadth. If the perimeter of the rectangle is

54 m

, find its length and breadth.

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IMPORTANT

New Mathematics Today Class 7>Chapter 12 - Linear Equations in One Variable>Exercise>Q 18

I have some

5 -

rupee coins and some

2 -

rupee coins. The number of

2 -

rupee coins is

4

times that of

5 -

rupee coins. If I have

₹ 117

in all, find the number of coins of each denominations.

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IMPORTANT

New Mathematics Today Class 7>Chapter 12 - Linear Equations in One Variable>Exercise>Q 19

A number is divided into two parts such that one part is $10$ more than the other. If the two parts are in the ratio $5 : 3$ . Find the numbers.

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IMPORTANT

New Mathematics Today Class 7>Chapter 12 - Linear Equations in One Variable>Exercise>Q 20

Pratik left one-third of his property for his son, one-fourth for his daughter and the remainder for his wife. If wife's share in the property was worth

₹ 10 lakh

and the total worth of Pratik's property is

₹ k lakh

, then find the value of

k

.

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IMPORTANT

New Mathematics Today Class 7>Chapter 12 - Linear Equations in One Variable>Exercise>Q 21

One-fourth of a herd of deer have gone to the forest. One-third of the total number are grazing in a field and remaining

15

are drinking water on the bank of a river. Find the total number of deer.

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IMPORTANT

New Mathematics Today Class 7>Chapter 12 - Linear Equations in One Variable>Exercise>Q 22

Tick the correct option.

If $\frac{1}{3}$ is subtracted from a number and the difference is multiplied by $3$ , the result is $5$ . The number is

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IMPORTANT

New Mathematics Today Class 7>Chapter 12 - Linear Equations in One Variable>Revision Exercise>Q 1

Match correctly the equation to their solution.

	Equation		Solution
(i)	$m + 30 = 4$	(a)	$12$
(ii)	$- 9 x = - 45$	(b)	$15$
(iii)	$- \frac{n}{3} = - 4$	(c)	$- 26$
(iv)	$n - 10 = - 3$	(d)	$5$
(v)	$- \frac{4}{5} y = - 12$	(e)	$7$