Linear Equations - Gujarat Board (GSEB) STD 8 MATHS Questions

Q 1M.C.Q. [1 Marks Each]1 Mark

Tick $(\checkmark)$ the correct answer: If $\frac{\text{n}}{2}-\frac{3\text{n}}{4}+\frac{5\text{n}}{6}=21,$ then $\text{n}=?$

A
$30$
B
$42$
✓
$36$
D
$28$

Answer: C.

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Q 2M.C.Q. [1 Marks Each]1 Mark

Tick $(\checkmark)$ the correct answer: If $5\text{x}+\frac{7}{1}=\frac{3}{2}\text{x}-14,$ then $\text{x} = ?$

A
$5$
✓
$-5$
C
$6$
D
$-6$

Answer: B.

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Q 3M.C.Q. [1 Marks Each]1 Mark

Tick $(\checkmark)$ the correct answer: Sum of three consecutive integers is $51$. The middle one is:

A
$14$
B
$15$
C
$16$
✓
$17$

Answer: D.

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Q 4M.C.Q. [1 Marks Each]1 Mark

Tick $(\checkmark)$ the correct answer: The base of an isosceles triangle is $6\ cm$ and its perimeter is $16\\ cm$. Length of each of the equal sides is:

A
$4\ cm$
✓
$5\ cm$
C
$3\ cm$
D
$6\ cm$

Answer: B.

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Q 5M.C.Q. [1 Marks Each]1 Mark

Tick $(\checkmark)$ the correct answer:
Four-fifths of a number is greater than three-fourths of the number by $4.$ The number is:

A
$12$
B
$64$
✓
$80$
D
$102$

Answer: C.

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Q 62 Marks Questions2 Marks

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

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Q 72 Marks Questions2 Marks

If $\Big(\text{x}-\frac{1}{\text{x}}\Big)=4$ find the value of: $\Big(\text{x}^4+\frac{1}{\text{x}^4}\Big)$

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Q 82 Marks Questions2 Marks

Factorise:
$1-6 x+9 x^2$

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Q 92 Marks Questions2 Marks

Solve: $\frac{2\text{x}+7}{3\text{x}+5}=\frac{15}{17}$

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Q 102 Marks Questions2 Marks

Factorise:
$63x^2y^2- 7$

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Q 113 Marks Question3 Marks

Solve: $\text{m}-\frac{(\text{m}-1)}{2}=1-\frac{(\text{m}-2)}{3} $

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Q 123 Marks Question3 Marks

Solve: $\frac{2-7\text{x}}{1-5\text{x}}=\frac{3+7\text{x}}{4+5\text{x}}$

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Q 133 Marks Question3 Marks

A man is $10$ times older than his grandson. He is also $54$ years older than him. Find their present ages.

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Q 143 Marks Question3 Marks

Solve: $3\text{x}+\frac{2\text{}}{3}=2\text{x}+1$

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Q 153 Marks Question3 Marks

Find three consecutive odd numbers whose sum is $147$.

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Q 165 Marks Questions5 Marks

Solve: $4-\frac{2(\text{z}-4)}{3}=\frac{1}{2}(2\text{z}+5)$

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Q 175 Marks Questions5 Marks

Half of a herd of deer are grazing in the field and three-fourths of the remaining are playing nearby. The rest $9$ are drinking water from the pond. Find thenumber of deer in the herd.

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Q 185 Marks Questions5 Marks

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

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Q 195 Marks Questions5 Marks

Monu's father is $26$ years younger than Monu's grandfather and $29$ years older than Monu. The sum of the ages of all the three is $135$ years. What is the age of each one of them?

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Q 205 Marks Questions5 Marks

The distance between two stations is $300\ km$. Two motorcyclists start simultaneously from these stations and move towards each other. The speed of one of them is $7\ km/ h$ more than that of the other. If the distance between them after $2$ hours of their start is $34\ km$, find the speed of each motorcyclist. Check your solution.

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Q 211 Marks Question1 Mark

Subtract:
$4 a^2+5 b^2-6 c^2+8$ from $2 a^2-3 b^2-4 c^2-5$

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Q 221 Marks Question1 Mark

Write $'T'$ for true and $'F'$ for false of the following: $\frac{\text{x}}{4}+\frac{\text{x}}{6}-\frac{\text{x}}{2}=\frac{3}{4}\Rightarrow\text{x}=-9$

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Q 231 Marks Question1 Mark

Write $'T'$ for true and $'F'$ for false of the following: $(5a - 9b) - (-6a + 2b) = (-a - 7b)$

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Q 241 Marks Question1 Mark

Fill in the blanks.
$x^2-18 x+81=(\_\_\_\_)$

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Q 251 Marks Question1 Mark

Write $'T'$ for true and $'F'$ for false of the following: $2\text{x}-5=0\Rightarrow\text{x}=\frac{2}{5}$

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