Sample QuestionsLinear 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.
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.
View full solution →Mark against the correct answer in the following:
If $\frac{2\text{x}-1}{3}=\frac{\text{x}-2}{3}+1$ then $x =?$
Answer: A.
View full solution →Mark against the correct answer in the following: The sum of two consecutive whole numbers is $53$. The smaller number is:
Answer: B.
View full solution →Mark against the correct answer in the following: On adding $9$ to the twice of a whole number gives $31$ The whole number is:
Answer: B.
View full solution →Mark against the correct answer in the following: The sum of two consecutive odd numbers is $36,$ the smaller one is:
Answer: B.
View full solution →Assertion (A): If 3x -9 = 6 then 3x = 6-9 = -3.
Reason (R): -a is transposed from LHS to RHS of an equation as +a.
- A
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
- B
Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation
of Assertion (A).
- C
Assertlon (A) is true but Reason (R) is false.
- ✓
Assertion (A) is false but Reason (R) is true.
Answer: D.
View full solution →Assertion (A): The root of the equation $3 x-8=4$ is $x=4$.
Reason (R): The root of a linear equation is the value of $x$ equal to the right-hand side of the equation.
- A
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
- B
Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation
of Assertion (A).
- ✓
Assertlon (A) is true but Reason (R) is false.
- D
Assertion (A) is false but Reason (R) is true.
Answer: C.
View full solution →View full solution →in -x, the constant term is -1.
If a = 2 and $\text{b}=\frac{1}{2}$, then the value of ab (a2 + b2) is $4\frac{1}{4}$
View full solution →(5x - 7) - (3x - 5) = 2x - 12.
(3x + 5y)(3x - 5y) = (9x2 - 25y2).
In x2 + 2x – 5, the _____ term is -5.
In -5ab, the coefficient of a is _____.
(a + 2b - 3c) is a _____.
Write $‘T$ for true and $‘F’$ for false for the following:
The coefficient of $x$ in $x^2-3 x+5$ is 3 .
View full solution →Write the coefficient of $x$ in of the following:
$-\frac{3}{2}\text{abx}$
View full solution →Write the coefficient of $x$ in of the following: $-5xy$
View full solution →Fill in the blank. $(a + 2b - 3c)$ is a _____.
View full solution →Write $‘T$ for true and $‘F’$ for false for the following:
$(3 x+5 y)(3 x-5 y)=\left(9 x^2-25 y^2\right)$.
View full solution →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.
View full solution → Solve the following equations. Check your result in case.
$\frac{\text{x}}{2}+\frac{\text{x}}{4}=\frac{1}{8}$
View full solution →Solve the following equations. Check your result in case. $2(x - 2) + 3(4x - 1) = 0$
View full solution →The length of a rectangular field is twice its breadth. If the perimeter of the field is $150$ metres, find its length and breadth.
View full solution →Solve the following equations. Check your result in case.$3 + 2x = 1 - x$
View full solution →Solve the following equations. Check your result in case. $2\text{x}-\frac{1}{3}=\frac{1}{5}-\text{x}$
View full solution →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.
View full solution →Solve the following equations. Check your result in case. $6(3x + 2) - 5(6x - 1) = 3(x - 8) - 5(7x - 6) + 9x$
View full solution →Solve the following equations. Check your result in case. $\frac{\text{y}-1}{3}-\frac{\text{y}-2}{4}=1$
View full solution →Solve the following equations. Check your result in case.
$\frac{2}{7}(\text{x}-9)+\frac{\text{x}}{3}=3$
View full solution →Anand runs a computer repair service company. For a Lenovo laptop, he charges ₹450 for diagnosis and ₹60 per hour for repairs. For an Acer laptop, he charges ₹360 for diagnosis and ₹90 per hour for repairs.
Q.1. Anand repaired Mr Sharma's Lenovo laptop. He charged ₹810 for the work. How long did he take to complete the repair work?
(a) 5 hours$\quad$(b) 6 hours$\quad$(c) 7 hours$\quad$ (d) 8 hours
Q.2. Anand repaired Mr Singh's Acer laptop. The total charges were ₹1170. How long did he take to complete the repair work?
(a) 9 hours$\quad$(b) 8 hours$\quad$(c) 7 hours$\quad$(d) 6 hours
Q.3. What were the total service charges that Mr Dev had to pay for both the laptops?
(a) ₹ 630 $\quad$(b) ₹810$\quad$ (c) ₹1260$\quad$(d) ₹1620
View full solution →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.
View full solution →Solve the following equations. Check your result in case. $\frac{\text{x}}{2}+\frac{\text{x}}{4}=\frac{1}{8}$
View full solution →Solve the following equations. Check your result in case. $2(x - 2) + 3(4x - 1) = 0$
View full solution →The length of a rectangular field is twice its breadth. If the perimeter of the field is $150$ metres, find its length and breadth.
View full solution →Solve the following equations. Check your result in case.$3 + 2x = 1 - x$
View full solution →