Algebra

Which of the following describes the expression $x + 0 = x$?

The total number of legs on $c$ chairs (each having 4 legs) is:

If $x$ is a whole number, its predecessor is:

What is '$y$ decreased by 1'?

What is the coefficient of $y^2$ in the expression $5x^2 - 3y^2 + 2$?

Find the value of $(x + y)(x - y)$ when $x = 10$ and $y = 2$.

Translate to algebra: '100 divided by the sum of $x$ and 4'.

Which algebraic expression represents 'The square of the sum of $x$ and $y$ is reduced by the product of 4 and $z$'?

If $a = 2, b = 3, c = 5$, find the value of $a^2 + bc - ac$.

A group of $n$ students decided to buy a gift for Rs $G$. If 2 students back out, how much more does each remaining student have to pay?

Subtract $4a$ from $9a$. What is the result?

If the side of a square is $x$ units, what is its area?

How do you represent '$15$ diminished by $y$'?

Identify the pair of like terms among the following: $3x, 4y, 5x, 6z$.

If the cost of 1 kg of sugar is ₹$x$, what is the cost of $y$ kg of sugar?

Simplify: $5 - (x - 2)$.

Which of the following is a like term of $-4x^2y$?

Subtract the sum of $(2a + 3b)$ and $(a - 5b)$ from $(5a - b)$.

If $x$ is $12$ less than $y$, and $y$ is $5$ more than $z$, what is the expression for $x$ in terms of $z$?

Find the value of $x^3 - y^3$ if $x = 2$ and $y = -1$.

What is the expression for '$10$ subtracted from twice of $x$'?

If a person's monthly income is $I$ and their monthly expenditure is $E$, what is their monthly saving?

What is the perimeter of a regular pentagon with each side measuring $b$ units?

The height of a small building is $h$ meters. A nearby tower is $60$ meters taller. What is the height of the tower?

The length of a side of a square is $x + 3$. What is the perimeter of the square?

A tank is $\frac{1}{4}$ full of water. If the total capacity of the tank is $V$ liters and $10$ liters are added, how much water is in the tank now?

If a dozen bananas cost $₹\ D$, what is the cost of $5$ bananas?

A square of side $s$ is cut out from a rectangular sheet of length $a$ and breadth $b$. What is the area of the remaining sheet?

In an office, there are $w$ women and $m$ men. If $2$ women and $3$ men leave, and then the number of employees is doubled, how many employees are there now?

A box has $L$ laddoos. They are distributed among $n$ children such that each child gets $5$ laddoos and $3$ laddoos remain in the box. What is the expression for $L$?

Solve for $n$: $2n = 2$.

Find the value of $m$ if $m - 5 = 0$.

Solve for $x$: $x + 1 = 2$.

If $y = 2$ is a solution for $5y = 10$, then the statement is:

Solve the equation $\frac{x}{9} = 4$.

Find the value of $n$ if $2n + 15 = 31$.

Solve the equation $\frac{48}{k} = 6$.

Solve for $x$: $0.5x + \frac{x}{4} = 6$.

If $3(x + 5) = 4(x - 2) + 10$, then $x$ equals:

A rectangle's length is twice its breadth. If the breadth is increased by $2$ and length decreased by $3$, the perimeter becomes $34$. Find original breadth.