Equation

Q. x+2/6-(11-x/3-1/4)=3x-4/12
_{​​​​​​}

Q.

What is the difference between an expression and an equation?

Q.

If the sum of three consecutive multiples of 9 is 108, then the average of the multiples is

___

Q.

Solve the linear equation:

$\frac{2X}{3}=\frac{3X}{8}+\frac{7}{12}$

Q. Ritu ate $\frac{3}{5}$ part of an apple and the remaining apple was eaten by her brother Sam. How much part of the apple did Sam eat? Who had the larger share? by how much?

Q. An algebraic expression cannot have a/an ______.

1. mathematical operator
2. equal to sign
3. variable
4. constant

Q. Which of the following is a linear inequation in one variable?

1. 2y + 5 < 3y
2. 3x = 5
3. 2x + 3 > 3y
4. 5x < 3y + 5

Q. the area of a rectangle is 36 sq.cm .what is the minimum perimeter this figure can have if the sides are natural numbers in cm?

Q. If 5x = 100, then x = _____.

1. 20
2. 40
3. 30
4. 50

Q. The degree of a linear equation in one-variable is

1. \N
2. 1
3. 2
4. 3

Q.

Solve the following equation: $2x+3=4+x$

Q. Write down a pair of integers whose sum sum is _7

Q. The perimeter of a rectangle is 48 cm. If its length is 15 cm, what is its breadth?

1. 8 cm
2. 9 cm
3. 15 cm
4. 18 cm

Q. What is the value of x in the equation $2x+4=18$?

1. $6$
2. $7$
3. $\frac{7}{2}$
4. $5$

Q.

Find the value of 'x' if 5/6 + x = -1

1. -13/7

2. -11/6

3. 16/3

4. 1

Q.

The coefficients of mn in $2m^2{n}^2$ and $2m^{2}n$ respectively are:

1. $2n$, $2m$

2. $2m$, $2m$

3. $2m$, $2mn$

4. $2mn$, $2m$

Q. Which of the following equations can be formed starting with $x=0$?

1. $\frac{x}{2}+5=7$
2. $3x-1=-1$
3. $3x-1=3$
4. $2x+1=-1$

Q.

There are two containers of milk. There is twice as much milk in the first container as in the second. After using $2\mathrm{gal}$. of milk from the second container and $3\mathrm{gal}.$ of milk from the first container, the second container had $4.5$ times less milk than the first. How many gallons of milk were in both containers originally?

Q.

For the equation: $3z+\frac{7}{2}$ = $\frac{5}{2},$ '$z$' is equal to ____ ?

1. $\frac{1}{3}$

2. $-\frac{1}{3}$

3. $-\frac{2}{3}$

4. $\frac{2}{3}$

Q.

The solution of $\frac{3x-1}{5}-\frac{1+x}{2}=3-\frac{x-1}{2}$ is

1. $5$

2. $-7$

3. $7$

4. $-5$

Q.

Value of $S$in $\frac{1}{3}+S=\frac{2}{5}$

1. $\frac{4}{5}$

2. $\frac{1}{15}$

3. $10$

4. $0$

Q.

A wallet contains a total of ₹60 in denominations of ₹5 and ₹10. If the number of ₹10 notes is x and number of ₹5 notes is y, then frame an equation to represent the total amount in the wallet.

1. 10x + 5y = 60

2. 10x - 5y = 60

3. 5x + 10y = 60

4. 5x - 10y = 60

Q.

Find the value of $x$ in the following case:

$\frac{3}{2}=\frac{27}{x}$

Q.

Find the perimeter of a rectangle whose length is $40cm$ and a diagonal is $41cm$.

Q.

In whole numbers, $x+8=12–4$ has ______ solution.

Q.

The shifting of a number from one side of an equation to other is called-

1. $\mathrm{Transposition}$

2. $\mathrm{Distributivity}$

3. $\mathrm{Commutativity}$

4. $\mathrm{Associativity}$

Q.

Rahul distributed $y$ chocolates on his birthday. The total number of chocolates he had were $20$. Find the number of chocolates left with him.

Q. Which of the following is present in an equation?

1. Two quantities
2. An equal to symbol
3. A greater than or a lesser than symbol
4. Both A and B

Q.

How do you solve linear problems?

Q.
Which one of the following identities does the given image represent?

1. ${\text{(x+a)(x+b) = x}}^2+\mathrm{ax}+\mathrm{bx}+\mathrm{ab}$
2. ${\text{(x+a)(x-b) = x}}^2+\mathrm{ax}-\mathrm{bx}-\mathrm{ab}$
3. ${\text{(x-a)(x+b) = x}}^2\text{-}\mathrm{ax}+\mathrm{bx}-\mathrm{ab}$
4. ${\text{(x-a)(x-b) = x}}^2\text{-}\mathrm{ax}-\mathrm{bx}+\mathrm{ab}$