Which of the following equations cannot be formed using the equation $x=7$ ?
- A$2 x+1=15$
- ✓$7 x-1=50$
- C$x-3=4$
- D$\frac{x}{7}-1=0$
Answer: B.
View full solution →Question types
Simple Equations question types
152 questions across 10 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.
152
Questions
10
Question groups
5
Question types
01
M.C.Q. [1 Marks Each]
15 Q→02Assertion (A) & Reason (B) MCQ
3 Q→03True False[1 Marks ]
5 Q→04BLANKS [1 Marks Each]
5 Q→051 Marks Question
52 Q→062 Marks Questions
63 Q→075 Marks Questions
2 Q→08case /data -based (4 Marks)
2 Q→09Match the following.
2 Q→103 Marks Question
3 Q→Sample Questions
Simple Equations questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
Which of the following equations can be formed starting with $X = 0$ ?
- A$2 x+1=-1$
- B$\frac{x}{2}+5=7$
- ✓$3 x-1=-1$
- D$3 x-1=1$
Answer: C.
View full solution →Which of the following numbers satisfies the equation $-6+x=-18$ ?
- A10
- B-13
- ✓-12
- D-16
Answer: C.
View full solution →The solution of the equation $\frac{x}{2}=\frac{3}{4}$ is
- A$\frac{1}{2}$
- B$\frac{1}{4}$
- ✓$\frac{3}{2}$
- D$\frac{3}{4}$
Answer: C.
View full solution →The solution of the equation $-4=2(y-2)$ is
- ✓0
- B1
- C2
- D4
Answer: A.
View full solution →Assertion (A) If $43 m=172$, then the value of $m$ is 4 .
Reason (R) Expression are formed by performing operations like addition, subtraction, multiplication and division on the variables.
Reason (R) Expression are formed by performing operations like addition, subtraction, multiplication and division on the variables.
- ABoth A and R are correct and R is the correct explanation of A.
- ✓Both A and R are correct and R is not the correct explanation of A.
- CA is false but R is true.
- DA is true but R is false.
Answer: B.
View full solution →Assertion (A) The solution of the equation $x+3=0$ is 3 .
Reason (R) The value of the variable in an equation for which the equation is satisfied is called the solution of the equation.
Reason (R) The value of the variable in an equation for which the equation is satisfied is called the solution of the equation.
- ABoth A and R are correct and R is the correct explanation of A.
- BBoth A and R are correct and R is not the correct explanation of A.
- ✓A is false but R is true.
- DA is true but R is false.
Answer: C.
View full solution →Assertion (A) $7 x-9=16$ is a equation.
Reason (R) An equation is a statement in which the values of two mathematical expressions are equal.
Reason (R) An equation is a statement in which the values of two mathematical expressions are equal.
- ✓Both A and R are correct and R is the correct explanation of A.
- BBoth A and R are correct and R is not the correct explanation of A.
- CA is false but R is true.
- DA is true but R is false.
Answer: A.
View full solution →If $4 x-7=11$, then $x=4$.
View full solution →$\frac{9}{4}$ is the solution of the equation $4 x-1=8$.
View full solution →One-third of a number when added to itself, gives 10 , then it can be represented as $\frac{x}{3}+10=x$.
View full solution →6 is the solution of the equation $4 x+3=15$.
View full solution →$\frac{2}{3}$ is the solution of the equation $8 x+5=6$.
View full solution →____________ is the solution of $3 x+10=7$.
View full solution →If $\frac{1}{6}-x=\frac{1}{6}$, then $x=$ ____________ .
View full solution →The solution of the equation $x+15=19$ is ____________ .
View full solution →Any term of an equation may be transposed from one side of the equation to the other side of the equation by changing the ____________ of term.
____________ is the solution of equation $3 x-5=7$.
View full solution →Solve the following equations.
$2 q+6=12$
View full solution →$2 q+6=12$
Solve the following equations.
$2 q+6=0$
View full solution →$2 q+6=0$
Solve the following equations.
$2 q-6=0$
View full solution →$2 q-6=0$
Solve the following equations.
$2 q=6$
View full solution →$2 q=6$
Solve the following equations.
$3 s=0$
View full solution →$3 s=0$
There are two types of boxes containing mangoes. Each box of the larger type contains 4 more mangoes than the number of mangoes contained in 8 boxes of the smaller type. Each larger box contains 100 mangoes. Find the number of mangoes contained in the smaller box?
(i) When you multiply a number by 6 and subtract 5 from the product, you get 7. Can you tell what the number is?
(ii) What is that number one-third of which added to 5 gives 8?
(ii) What is that number one-third of which added to 5 gives 8?
If 45 is added to half a number, then result is triple the number. Find the number.
Solve the following riddle.
I am a number, Tell my identity!
Take me seven times over
And add a fifty!
To reach a triple century
You still need forty!
I am a number, Tell my identity!
Take me seven times over
And add a fifty!
To reach a triple century
You still need forty!
Solve the following.
People of Sundargram planted trees in the village garden. Some of the trees were fruit trees. The number of non-fruit trees were two more than three times the number of fruit trees. What was the number of fruit trees planted, if the number of non-fruit trees planted was 77 ?
People of Sundargram planted trees in the village garden. Some of the trees were fruit trees. The number of non-fruit trees were two more than three times the number of fruit trees. What was the number of fruit trees planted, if the number of non-fruit trees planted was 77 ?
The value of the expression $(10 y-20)$ depends on the value of $y$. Verify this by giving five different values to $y$ and finding for each $y$ the value of $(10 y-20)$. From the different values of $(10 y-20)$ you obtain, do you see a solution to $10 y-20=50$ ?
If there is no solution, try giving more values to $y$ and find whether the condition $10 y-20=50$ is met.
View full solution →If there is no solution, try giving more values to $y$ and find whether the condition $10 y-20=50$ is met.
Complete the last column of the table.
View full solution →| S.No. | Equation | Value | Say, whether the equation is satisfied (Yes/No) |
| (i) | x+3=0 | x=3 | |
| (ii) | x+3=0 | x=0 | |
| (iii) | x+3=0 | x=-3 | |
| (iv) | x-7=1 | x=7 | |
| (v) | x-7=1 | x=8 | |
| (vi) | 5x=25 | x=0 | |
| (vii) | 5x=25 | x=5 | |
| (viii) | 5x=25 | x=-5 | |
| (ix) | $\frac{m}{2}$=2 | m=-6 | |
| (x) | $\frac{m}{2}$=2 | m=0 | |
| (xi) | $\frac{m}{2}$=2 | m=6 |
Multiple gaming tournaments can be played online. In these games, players can compete with players from any part of the world.
In a tournament, 200 points are awarded for a win and 20 points are deducted for a loss.
Q.1. Chetan participated in the tournament.
He won two more matches than the number of matches he lost.
He scored 1120 points.
How many matches did he play?
(a) 6 $\qquad$ (b) 8 $\qquad$ (c) 10 $\qquad$ (d) 14
Q.2. Which of the following represents an equation in one variable?
(a) $5 p+3$ $\qquad$ (b) $4+2 a$ $\qquad$ (c) $5+7=12$ $\qquad$ (d) $5+4 x=9$
Q.3. Diksha played 16 matches in a tournament. The number of matches won was equal to the number of matches lost by her.
How many points did she score?
Q.4. Drishti and Raghav also participated in the tournament.
Drishti won 10 more matches than the number of matches she lost. Her score was 6140 points.
Raghav lost 15 more matches than the number of matches he won. His score was 6000 points.
Who played more matches? Justify your answer.
View full solution →In a tournament, 200 points are awarded for a win and 20 points are deducted for a loss.
Q.1. Chetan participated in the tournament.
He won two more matches than the number of matches he lost.
He scored 1120 points.
How many matches did he play?
(a) 6 $\qquad$ (b) 8 $\qquad$ (c) 10 $\qquad$ (d) 14
Q.2. Which of the following represents an equation in one variable?
(a) $5 p+3$ $\qquad$ (b) $4+2 a$ $\qquad$ (c) $5+7=12$ $\qquad$ (d) $5+4 x=9$
Q.3. Diksha played 16 matches in a tournament. The number of matches won was equal to the number of matches lost by her.
How many points did she score?
Q.4. Drishti and Raghav also participated in the tournament.
Drishti won 10 more matches than the number of matches she lost. Her score was 6140 points.
Raghav lost 15 more matches than the number of matches he won. His score was 6000 points.
Who played more matches? Justify your answer.
Match the Column A to Column B.
View full solution →| Column A | Column B |
| (i) $\frac{1}{2} x+4=2$ | (a) $x=26$ |
| (ii) $\frac{11}{2} x=7$ | (b) $x=\frac{14}{9}$ |
| (iii) $\frac{14}{6}=\frac{3}{2} x$ | (c) $x=-4$ |
| (iv) $2(x+1)=54$ | (d) $x=\frac{14}{11}$ |
Match the column A to Column B.
View full solution →| Column A | Column B |
| (i) The product of 20 and half a number added to 40 is 60. | (a) $x=\frac{8}{3}$ |
| (ii) One-fourth the sum of a number and 5 is 10. | (b) $x=2$ |
| (iii) The root of $6 x+2=14$ | (c) $\frac{1}{2} x \times 20+40=60$ |
| (iv) The root of $\frac{3 x}{4}+1=3$ | (d) $\frac{1}{4}(x+5)=10$ |
Write atleast one other form for each equation (I), (ii) and (iii).
(i) $5 p=20$
(ii) $3 n+7=1$
(iii) $\frac{m}{5}-2=6$
View full solution →(i) $5 p=20$
(ii) $3 n+7=1$
(iii) $\frac{m}{5}-2=6$
Solve the following equations by trial and error method.
$3 m-14=4$
View full solution →$3 m-14=4$
Solve the following equations by trial and error method.
$5 p+2=17$
View full solution →$5 p+2=17$
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