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MATHS [2 Mark Question Answer]

Simple (Linear) Equations (Including Word Problems) · ICSE STD 6 (ICSE - English Medium). 29 questions.

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[2 Mark Question Answer]

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29 questions · timed · auto-graded

Question 12 Marks
Solve the following equation: 5 = x - 3
Answer
5 = x - 3

⇒ 5 + 3 = x - 3 + 3  (Adding 3 to both sides)

⇒ 8 = x

∴ x = 8

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Question 22 Marks
Solve the following equation : $\frac{2 m }{3}=8 \frac{2}{3}$
Answer
$\frac{2 m }{3}=8 \frac{2}{3}=\frac{26}{3}$
$\Rightarrow \frac{2 m }{3} \times \frac{3}{2}=\frac{26}{3} \times \frac{3}{2} ($Multiplying by $\frac{3}{2})$
$\therefore m =13$
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Question 32 Marks
Solve the following equation: $x-3=5 \frac{1}{2}$
Answer
$
x-3=5 \frac{1}{2}
$
$\Rightarrow x-3+3=5 \frac{1}{2}+3$..(Adding 3 to both sides)
$
\therefore x=8 \frac{1}{2}
$
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Question 42 Marks
A natural number decreased by 7 is 12. Find the number.
Answer
Let the required number = x

Then x - 7 = 12

⇒ x - 7 + 7 = 12 + 7  (Adding 7 to both sides)

x = 19

∴ Required number = 19

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Question 52 Marks
A number increased by 17 becomes 54. Find the number.
Answer
Let the required number = x

∴ According to the sum:

x + 17 = 54

⇒ x = 54 - 17

⇒ x = 37

Required number = 37

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Question 62 Marks
Solve $: 3a = – 2.1$
Answer
$3 a=-2.1$
$\Rightarrow a=\frac{-2.1}{3}$
$\Rightarrow a=\frac{-21}{3 \times 10}$
$\Rightarrow-\frac{7}{10}$
$=-0.7$
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Question 72 Marks
Solve $: 1.6z = 8$
Answer
$1.6z = 8$
$\Rightarrow z=\frac{8}{1.6}$
$\Rightarrow z=\frac{8 \times 10}{16}$
$\Rightarrow z = 5$
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Question 82 Marks
Solve : $x+2 \frac{1}{5}=3$
Answer
$x+2 \frac{1}{5}=3$
$\Rightarrow x+\frac{11}{5}=3$
$\Rightarrow x=3-\frac{11}{5}$
$\Rightarrow x=\frac{15-11}{5}$
$\Rightarrow x=\frac{4}{5}$
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Question 92 Marks
Solve: 3(x + 5) = 18
Answer
3(x + 5) = 18
⇒ 3x + 15 = 18
⇒ 3x = 18 - 15 = 3
$\Rightarrow x=\frac{3}{3}=1$
⇒ x = 1
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Question 102 Marks
Solve: 6y + 3 = 2y + 11
Answer
6y + 3 = 2y + 11
⇒ 6y - 2y = 11 - 3
⇒ 4y = - 8
$\Rightarrow y=\frac{8}{4}$
⇒ y = 2
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Question 112 Marks
Solve: 7x - 3x + 2 = 22
Answer
7x - 3x + 2 = 22
⇒ 7x - 3x = 22 - 2
⇒ 4x = 20
$\Rightarrow x=\frac{20}{4}$
⇒ x = 5
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Question 122 Marks
Solve: 4z – 5 = 3 – z
Answer
4z – 5 = 3 – z
⇒ 4z + z = 3 + 5
⇒ 5z = 8
$\Rightarrow z=\frac{8}{5}=1.6$
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Question 132 Marks
Solve: 5y – 3.5 = 10
Answer
5y – 3.5 = 10
⇒ 5y = 10 + 3.5
⇒ 5y = 13.5
$\Rightarrow y=\frac{13.5}{5}$
⇒ y = 2.7
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Question 142 Marks
Solve: 2y – 5 = -11
Answer
2y – 5 = -11
⇒ 2y = - 11 + 5
⇒ 2y = - 6
$\Rightarrow y=-\frac{6}{2}$
⇒ y = - 3
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Question 152 Marks
Solve $: 2.4z = - 4.8$
Answer
$2.4 z=-4.8$
$\Rightarrow z=-\frac{4.8}{2.4}$
$\Rightarrow z=-\frac{48}{24}$
$\Rightarrow z=-2$
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Question 162 Marks
Solve $: - 8m -2 = - 10$
Answer
$-8 m -2=-10$
$\Rightarrow-8 m =-10+2$
$\Rightarrow m =\frac{-8}{-8}$
$\Rightarrow m =1$
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Question 172 Marks
Solve: $\frac{y}{2}-3=8$
Answer
$\frac{y}{2}-3=8$
$\Rightarrow \frac{y}{2}=8+3$
$\Rightarrow \frac{y}{2}=11$
$\Rightarrow y = 11 \times 2$
$\Rightarrow y = 22$
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Question 182 Marks
Solve: 4m + 9.4 = 5
Answer
4m + 9.4 = 5
⇒ 4m = 5 - 9.4
⇒ 4m = - 4.4
$\Rightarrow m =\frac{-4.4}{4}$
⇒ m = - 1.1
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Question 222 Marks
Solve $: - 3.5 y = 14$
Answer
$-3.5 y=14$
$\Rightarrow y=\frac{14}{-} 3.5$
$\Rightarrow y=\frac{-14 \times 10}{35}$
$\Rightarrow y=-4$
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Question 242 Marks
Solve: $\frac{ n }{7}=-2.8$
Answer
$\frac{ n }{7}=-2.8$
$\Rightarrow n =-2.8 \times 7$
$\Rightarrow n =-19.6$
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Question 252 Marks
Solve : $\frac{ m }{6}=2 \frac{1}{2}$
Answer
$\frac{ m }{6}=2 \frac{1}{2}$
$\Rightarrow \frac{ m }{6}=\frac{5}{2}$
$\Rightarrow m =\frac{5}{2} \times 6$
$\Rightarrow m =15$
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Question 262 Marks
Solve : $\frac{z}{4}=3 \frac{1}{4}$
Answer
$\frac{z}{4}=3 \frac{1}{4}$
$\Rightarrow \frac{z}{4}=\frac{13}{4}$
$\Rightarrow z=\frac{13}{4} \times 4$
$\Rightarrow z=13$
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Question 272 Marks
Solve: $3.2 p = 16$
Answer
$3.2 p=16$
$\Rightarrow p=16 / 3.2$
$\Rightarrow p=\frac{16 \times 10}{32}$
$\Rightarrow p=5$
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Question 282 Marks
Solve $: 2.5 m = 7.5$
Answer
$2.5 m =7.5$
$\Rightarrow m =\frac{7.5}{2.5}$
$\Rightarrow m =\frac{75}{25}$
$\Rightarrow m =3$
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Question 292 Marks
Solve: $n -4=-4 \frac{1}{5}$
Answer
$n-4=-4 \frac{1}{5}$
$\Rightarrow n-4=-\frac{21}{5}$
$\Rightarrow n=-\frac{21}{5}+4$
$\Rightarrow n=\frac{-21+20}{5}$
$\Rightarrow z=-\frac{1}{5}$
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