Algebraic Expressions

In the expression $m - n$, the terms are:

Identify the factors of the term $ab^2$.

What is the numerical coefficient of $w$ in $-7w$?

How many terms are in the expression $x^2y^2z^2$?

What is the number of terms in the algebraic expression $100 - x^2$?

What is the coefficient of $p$ in the expression $-p + q - 5$?

Identify the factors of the term $11x^2y^2$.

The numerical coefficient of the term $-\frac{2x}{3}$ is:

What is the sum of the numerical coefficients of $a^2$ and $b^2$ in the simplified expression $2(a^2 - b^2) + 3b^2$?

What is the numerical coefficient of $b$ in the expression $a - b + c$?

Can we add $5x$ and $7y$ to get $12xy$?

Identify the like term for $12k^2m$.

Which is like $y^2$?

What is the result of subtracting $a$ from $3a$?

Which pair represents like terms?

Find the sum of $a, -2a, 3a, -4a$.

Simplify $22x^2y - 12x^2y$.

What is the result of $3a^2 - [2a^2 - (a^2 - 1)] - 1$?

Find the simplified form of: $x^2 - (y^2 - z^2) + y^2 - (z^2 - x^2) + z^2 - (x^2 - y^2)$.

Simplify the expression $0.2(10a - 5b) - 0.5(2a - 4b)$.

Identify the coefficient of $xy$ in the expression $7 + 2xy$.

The sum of $x$ and $y$ is what type of expression?

What is the constant in the expression $10 - x$?

The expression $1.2a - 2.4b + 3.6c$ is classified as a:

What expression must be subtracted from $5x - 3y - 15$ to obtain $2x + y - 8$?

If $P = a^2 - b^2$ and $Q = b^2 - a^2$, then $P + Q$ is:

Collect the like terms: $z^2 + 13z^2 - 5z + 7z^3 - 15z$.

Subtract the sum of $(3a^2 - 5ab + 2b^2)$ and $(-a^2 + 2ab - 3b^2)$ from the sum of $(2a^2 + ab + b^2)$ and $(a^2 - 3ab + 4b^2)$.

The perimeter of a rectangle is represented by the expression $12x^2 - 8x + 10$. If the length of the rectangle is $4x^2 - 5x + 3$, which expression represents its breadth?

Given three algebraic expressions $A = 4x^2 - 3x + 5$, $B = -2x^2 + 5x - 7$, and $C = x^2 - x + 1$, find the simplified expression for $A - B - C$.

What is the sum of $x, 2x,$ and $3x$?

Simplify: $5a + 2b - 3a + b$.

Subtract $(x - 1)$ from $(x + 1)$.

Simplify: $14pqr - pqr$.

What is the result of adding $(x^2 - 1)$, $(y^2 - 1)$, and $(z^2 - 1)$?

Simplify: $p - (p - q) - q - (q - p)$.

If $P = x^2 - y^2$ and $Q = y^2 - x^2$, find the value of $P + Q$.

Simplify the expression: $15x - [8x + 4y - \{3x - (2y - 2x)\}]$.

If $A = 5x^2 + 3x - 8$, $B = -2x^2 - 5x + 7$, and $C = x^2 - x + 2$, find the value of $A - B + C$.

Subtract $(2p - 3q + r)$ from the sum of $(p + q + r)$ and $(3p - 2q - r)$.

Find the value of $a + 15$ if $a = -5$.

What is the value of $4x - 10$ when $x = 5$?

Evaluate $y^3 + 1$ for $y = 1$.

If $k = -5$, find the value of $1 - k$.

Evaluate $3x - (2x - 1)$ for $x = 5$.

What is the value of $x^4$ when $x = 2$?

Calculate $\frac{a + b}{2}$ if $a = 15$ and $b = 25$.

If $x = 1, y = 2,$ and $z = 3$, find the value of $2x - 3y + 4z$.

Calculate $x^2 + x$ for $x = -2$.

Evaluate $a^2 + b^2 + 2ab$ for $a = 5$ and $b = 2$.