Algebra

In the term $-5x^2$, the power of the variable $x$ is:

The expression $a + b + c$ is a:

Identify the coefficient of $x$ in the term $2xy$.

In the expression $l \times b$, how many terms are there?

What is the coefficient of $z$ in the expression $x + y - z$?

How many terms does the expression $a \div b + c \times d - e$ have?

The expression obtained by 'subtracting $5$ from the product of $x$ and $y$' is:

What are the literal factors of the term $-5x^2y$?

What is the coefficient of $x^2$ in the expression $(x-1)(x-2)(x-3)$?

Identify the numerical coefficient of $p$ in the simplified expression of $p - (2p - (3p - 4))$.

In the algebraic expression $x^{2} + 8x + 15$, how many terms are NOT constant terms?

How many terms are in the expression $3a + 5b - 3a$ after it has been simplified by combining like terms?

In the term $\frac{2}{3}xy$, what is the numerical coefficient?

Are $x^{2}$ and $x^{3}$ like terms?

Given the algebraic expressions $P = 2m^2 - 3n^2$, $Q = n^2 - m^2$, and $R = 3m^2 + n^2$, find the simplified form of the expression $P - Q + R$.

Find the constant term in the expression $\frac{x - 9}{3}$.

Evaluate $7m + 3n$ when $m = 10$ and $n = -5$.

If the expression $(2k-4)x^2 + 5x - 3$ is a binomial, what is the value of $k$?

Identify the number of terms in the expression: $5x^2y/z + 3xy^2 - 7$.

Simplify: $2x - [3y - \{4x - (5y - 6x)\}]$.

Simplify: $1.2x - 0.2x$.

Add $8a^2b$ and $2a^2b$.

Simplify the expression: $x + y - y$.

Simplify: $10pqr - pqr$.

Simplify: $3x - [2y - \{x - (y - x)\}]$.

What should be added to $m^2 - 2mn + n^2$ to get $m^2 + n^2$?

Simplify: $(a^3 - 3a^2) + (2a^2 - a) - (a^3 - 4)$.

Subtract the sum of $(m^2 - n^2)$ and $(2m^2 + 3n^2 - mn)$ from the sum of $(4m^2 + mn)$ and $(n^2 - 2mn)$.

Simplify: $a^2 - [2a^2 - \{3a^2 - (4a^2 - 5a^2)\}]$

What should be subtracted from $x^3 - 4x^2 + 5x - 6$ to get $x^2 - 2x + 1$?

Solve the equation for $x$: $x + 9 = 9$.

One third of $z$ is $9$. Find the value of $z$.

Find $x$ if $4x = 400$.

Solve the equation $x - 6 = 6$.

Solve for $x$: $2(x + 5) - 3(x - 2) = 8$.

A number multiplied by $4$ and then reduced by $10$ gives $30$. Find the number.

Solve the equation for $x$: $\frac{3x + 2}{2} = 10$.

Solve: $\frac{x+2}{x+5} = \frac{x}{x+6}$.

The numerator of a rational number is $3$ less than the denominator. If the numerator is increased by $7$ and denominator is decreased by $1$, we get $\frac{3}{2}$. Find the original rational number.

Solve for $t$: $\frac{3t - 2}{4} - \frac{2t + 3}{3} = \frac{2}{3} - t$.

What is the value of $z$ if $\frac{z}{8} = 4$?

Solve for $x$: $x - 9 = 9$

Translate to an equation: 'The sum of twice a number $x$ and $4$ is $12$'.

Solve the equation: $5y = 45$

If you subtract $5$ from $3$ times a number, you get $16$. What is the number?

Find the value of $x$ in: $22 - 4x = 2$.

The sum of a number and its double is $45$. Find the number.

The total number of $10$-rupee and $20$-rupee notes in a box is $60$. If the total value of the notes is Rs. $1000$, find the difference between the number of $20$-rupee notes and $10$-rupee notes.

Solve for $x$: $\frac{3x-2}{4} - \frac{2x+3}{3} = \frac{x-5}{6}$

A sum of Rs. $2700$ is to be given in the form of $63$ prizes. If the prize is either Rs. $100$ or Rs. $25$, find the number of Rs. $100$ prizes.