Linear Equations in One Variable - Jharkhand Board (JAC) STD 7 Maths Questions

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

Mark against the correct answer in the following: If $(2n + 5) = 3(3n - 10),$ then $n =?$

✓
$5$
B
$3$
C
$\frac{2}{5}$
D
$\frac{2}{3}$

Answer: A.

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

Mark against the correct answer in the following:
If $\frac{2\text{x}-1}{3}=\frac{\text{x}-2}{3}+1$ then $x =?$

✓
$2$
B
$4$
C
$6$
D
$8$

Answer: A.

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

Mark against the correct answer in the following: The sum of two consecutive whole numbers is $53$. The smaller number is:

A
$25$
✓
$26$
C
$29$
D
$23$

Answer: B.

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

Mark against the correct answer in the following: On adding $9$ to the twice of a whole number gives $31$ The whole number is:

A
$21$
✓
$16$
C
$17$
D
$11$

Answer: B.

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

Mark against the correct answer in the following: The sum of two consecutive odd numbers is $36,$ the smaller one is:

A
$15$
✓
$17$
C
$19$
D
$13$

Answer: B.

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Q 61 Marks Question1 Mark

Write $‘T$ for true and $‘F’$ for false for the following:
The coefficient of $x$ in $x^2-3 x+5$ is 3 .

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Q 71 Marks Question1 Mark

Write the coefficient of $x$ in of the following:
$-\frac{3}{2}\text{abx}$

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Q 81 Marks Question1 Mark

Write the coefficient of $x$ in of the following: $-5xy$

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Q 91 Marks Question1 Mark

Fill in the blank. $(a + 2b - 3c)$ is a _____.

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Q 101 Marks Question1 Mark

Write $‘T$ for true and $‘F’$ for false for the following:
$(3 x+5 y)(3 x-5 y)=\left(9 x^2-25 y^2\right)$.

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Q 112 Marks Questions2 Marks

A sum of $Rs. 500$ is in the form of denominations of $Rs. 5$ and $Rs. 10$. If the total number of notes is $90.$ Find the number of notes of each type.

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Q 122 Marks Questions2 Marks

Solve the following equations. Check your result in case.
$\frac{\text{x}}{2}+\frac{\text{x}}{4}=\frac{1}{8}$

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Q 132 Marks Questions2 Marks

Solve the following equations. Check your result in case. $2(x - 2) + 3(4x - 1) = 0$

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Q 142 Marks Questions2 Marks

The length of a rectangular field is twice its breadth. If the perimeter of the field is $150$ metres, find its length and breadth.

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Q 152 Marks Questions2 Marks

Solve the following equations. Check your result in case.$3 + 2x = 1 - x$

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Q 165 Marks Questions5 Marks

Solve the following equations. Check your result in case. $2\text{x}-\frac{1}{3}=\frac{1}{5}-\text{x}$

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Q 175 Marks Questions5 Marks

The ages of Sonal and Manoj 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 185 Marks Questions5 Marks

Solve the following equations. Check your result in case. $6(3x + 2) - 5(6x - 1) = 3(x - 8) - 5(7x - 6) + 9x$

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Q 195 Marks Questions5 Marks

Solve the following equations. Check your result in case. $\frac{\text{y}-1}{3}-\frac{\text{y}-2}{4}=1$

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Q 205 Marks Questions5 Marks

Solve the following equations. Check your result in case.
$\frac{2}{7}(\text{x}-9)+\frac{\text{x}}{3}=3$

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Q 213 Marks Question3 Marks

A sum of $Rs. 500$ is in the form of denominations of $Rs. 5$ and $Rs. 10$. If the total number of notes is $90$. Find the number of notes of each type.

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Q 223 Marks Question3 Marks

Solve the following equations. Check your result in case. $\frac{\text{x}}{2}+\frac{\text{x}}{4}=\frac{1}{8}$

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Q 233 Marks Question3 Marks

Solve the following equations. Check your result in case. $2(x - 2) + 3(4x - 1) = 0$

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Q 243 Marks Question3 Marks

The length of a rectangular field is twice its breadth. If the perimeter of the field is $150$ metres, find its length and breadth.

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Q 253 Marks Question3 Marks

Solve the following equations. Check your result in case.$3 + 2x = 1 - x$