Linear Equations in one Variable - ICSE STD 8 MATHS Questions

88

Questions

4

Question groups

5

Question types

01

[2 Mark Question Answer]

[3 marks sum]

[4 marks sum]

[5 marks sum]

Sample Questions

Linear Equations in one Variable questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1[2 Mark Question Answer]2 Marks

After $12$ years, I shall be $3$ times as old as $1$ was $4$ years ago. Find my present age.

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Q 2[2 Mark Question Answer]2 Marks

Solve the following equation: $3a - 4 = 2(4 - a)$

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Q 3[2 Mark Question Answer]2 Marks

Solve the following equation: $15 + x = 5x + 3$

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Q 4[2 Mark Question Answer]2 Marks

Solve the following equation: $20 = 6 + 2x$

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Q 5[3 marks sum]3 Marks

Find a number such that when $5$ is subtracted from $5$ times the number, the result is $4$ more than twice the number.

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Q 6[3 marks sum]3 Marks

The difference between the squares of two consecutive numbers is $31.$ Find the numbers.

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Q 7[3 marks sum]3 Marks

Find a number whose double is $45$ greater than its half.

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Q 8[3 marks sum]3 Marks

A man sold an article for $₹. 396$ and gained $10\%$ on it. Find the cost price of the article

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Q 9[3 marks sum]3 Marks

Solve: $\frac{2}{5 \mathrm{x}}-\frac{5}{3 \mathrm{x}}=\frac{1}{15}$

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Q 10[4 marks sum]4 Marks

The sum of two numbers is $4500$. If $10\%$ of one number is $12.5\%$ of the other, find the numbers.

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Q 11[4 marks sum]4 Marks

Solve: $\frac{x+2}{3}-\frac{x+1}{5}=\frac{x-3}{4}-1$

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Q 12[4 marks sum]4 Marks

Solve: $\frac{6 \mathrm{x}+1}{2}+1=\frac{7 \mathrm{x}-3}{3}$

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Q 13[4 marks sum]4 Marks

Solve: $\mathrm{x}-\frac{\mathrm{x}-1}{2}=1-\frac{\mathrm{x}-2}{3}$

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Q 14[4 marks sum]4 Marks

Solve: $\frac{3 x-2}{3}+\frac{2 x+3}{2}=x+\frac{7}{6}$

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Q 15[5 marks sum]5 Marks

The ages of $A$ and $B$ are in the ratio $7 : 5$. Ten years hence, the ratio of their ages will be $9 : 7$. Find their present ages.

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Q 16[5 marks sum]5 Marks

The sum of two numbers is $405$ and their ratio is $8 : 7$. Find the numbers.

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Q 17[5 marks sum]5 Marks

Solve : $\frac{9 \mathrm{x}+7}{2}-\left(\mathrm{x}-\frac{\mathrm{x}-2}{7}\right)=36$

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Q 18[5 marks sum]5 Marks

Solve: $\frac{x+2}{6}-\left(\frac{11-x}{3}-\frac{1}{4}\right)=\frac{3 x-4}{12}$

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Q 19[5 marks sum]5 Marks

Solve : $\frac{3 x-2}{4}-\frac{2 x+3}{3}=\frac{2}{3}-x$

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Linear Equations in one Variable question types

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Linear Equations in one Variable question types

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