Expressions using Letter-Numbers

If $n$ represents any natural number, how do we represent its successor?

What is the coefficient of $b$ in the expression $b/4$?

Expression for 'subtract $p$ from $q$' is:

Find the value of $x/2$ when $x = 100$.

Subtract $a^2$ from $-a^2$.

How many terms are in the expression $\frac{xy}{5}$?

The algebraic expression for 'y is multiplied by -5 and the result is added to 16' is:

Simplify the expression and find the coefficient of $x$: $3(x + 2) - 2(2x - 1) + 5$.

If the side of a cube is $3s$, what is the expression for its total surface area? (Surface area of a cube with side $a$ is $6a^2$)

In the expression $ax^2 + bx + c$, if $a=1, b=-5, c=6$, and we factorize it as $(x-p)(x-q)$, what is the expression for $p+q$?

The expression representing '7 more than the quotient of $x$ by $3$' is:

Evaluate $x^2 - 1$ for $x = 5$.

Identify the like terms in the following: $5x^2, 7x, -3x^2, 2y$.

What is the product of $4$ and $x$ subtracted from $20$?

Simplify the algebraic expression: $x^2 - [y^2 - (x^2 + y^2)]$

The literal factor of the term $5ab^2$ is:

Find the value of $x^3 - x^2 + x - 1$ for $x = 1$.

If the expression $2x^2 + x - a$ equals $5$ when $x = 0$, what is the value of $a$?

Subtract $(a - b)$ from $(b - a)$.

If $a = 2$ and $b = -2$, find the value of $a^2 + ab + b^2$.

Express $h \times 7$ in algebraic form.

What is the simplified form of $18 \times m \times n$?

Simplify the product $x \times y \times w \times z$.

Write $u \times v \times 2$ without the multiplication sign.

Write 'the product of 4 and $p$ squared' algebraically.

Simplify: $1.2 \times m \times n$.

Express 'the product of $a, b,$ and $c$ divided by 2' algebraically.

Identify the expression that represents 'The square of $a$ multiplied by the cube of $b$'.

Simplify $x \times y \times y \times x \times x$.

Express 'The product of $x$ and $y$ added to their quotient' without using multiplication or division signs.

Simplify: $2(x + 3)$ using the distributive property.

Find the constant term in $x/3 + 9$.

Subtract $y$ from $-y$.

What is the value of $m - n$ if $m = 10$ and $n = 10$?

Simplify the expression: $10 - 3(p - 4)$

Subtract $-x^2 + 10x - 5$ from $5x - 10$.

Simplify: $2x - 3y + 4z - (x - y + z)$

What should be added to $x^2 + xy + y^2$ to get $2x^2 + 3xy$?

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

Subtract the sum of $3x - 2y + 4z$ and $x - y + 2z$ from the sum of $5x + 3y - z$ and $-x - y + 3z$.

What is the rule for the sequence $10, 20, 30, 40, \dots$ using variable $n$?

A pattern of the letter 'H' uses 3 matchsticks. How many sticks are needed for $n$ 'H's?

What is the expression for '$y$ is multiplied by -1'?

If $t$ is the time in hours and a car travels 60 km every hour, what is the total distance covered?

If a pattern follows the rule $10n + 10$, what is the value of the $10^{th}$ term?

What is the expression for the total number of legs on $k$ cows and $h$ humans?

In the sequence $2, 5, 10, 17, 26, \dots$, what is the formula for the $n^{th}$ term?

A sequence is defined by $T_n = 3n + 2$. Find the value of $T_{n+1} - T_n$.

In a pattern of numbers: $1 \times 2 + 1 = 3$, $2 \times 3 + 1 = 7$, $3 \times 4 + 1 = 13$, find the expression for the $n^{th}$ term.

What is the expression for the number of dots in the $n^{th}$ figure of a pattern where Figure 1 has $2$ dots, Figure 2 has $6$ dots, Figure 3 has $12$ dots?