Addition and Subtraction of Algebraic Expressions

Evaluate the following.

$\begin{array}{cccc}& -7x& +& 6\mathrm{y}\\ -& 2\mathrm{x}& -& 3\mathrm{y}\\ & & & \\ & & & \end{array}$

Evaluate the following.

$\begin{array}{cccc}& 4\mathrm{f}& -& 5\\ -& 3\mathrm{f}& +& 6\\ & & & \\ & & & \end{array}$

Evaluate the following.

$\begin{array}{cccc}& -4\mathrm{d}& -& 7e\\ +& -6\mathrm{d}& +& e\\ & & & \\ & & & \end{array}$

Evaluate the following.

$\begin{array}{cccc}& 2b& +& 3c\\ +& 4\mathrm{b}& -& 2c\\ & & & \\ & & & \end{array}$

Evaluate the following.

$\begin{array}{cccc}& 3\mathrm{a}& +& 2\\ +& 5\mathrm{a}& +& 7\\ & & & \\ & & & \end{array}$

Simplify the following expression.

$m-\left(8m-9\right)$

Simplify the following expression.

$-5+\left(7k+3\right)$

Evaluate the following.

$\begin{array}{cccc}& 5\mathrm{t}& +& 9\mathrm{z}\\ -& -6\mathrm{z}& -& 7\mathrm{z}\\ & & & \\ & & & \end{array}$

Subtracting a term $-5\mathrm{xy}$ means adding _____.

The perimeter of the rectangle is $\left(6\mathrm{x}+5\mathrm{y}\right)$ centimetres. Suggest two possible dimensions of the rectangle.

The perimeter of the triangle is $\left(7\mathrm{x}+-3\mathrm{y}+6\right)$ metre. The length of the two sides of the triangle are $\left(2\mathrm{x}+\mathrm{y}-1\right)$ metre and $\left(\mathrm{x}-2\mathrm{y}+10\right)$ metre. Find the length of the third side in terms of x and y.

The weights of $3$ boxes of chocolates are $\left(3\mathrm{p}+4\mathrm{q}+2\right)$ grams, $\left(4\mathrm{p}+6\mathrm{q}+5\right)$ grams and $\left(\mathrm{p}+7\mathrm{q}+9\right)$ grams. Find their total weight.

There are three consecutive integers. If the smallest one is n, find the sum of the three integers.

Subtract $\mathrm{t}-3\mathrm{v}$ from the sum of $7\mathrm{t}-2\mathrm{u}-3\mathrm{v}$ and $3\mathrm{t}+5\mathrm{u}-8\mathrm{v}$.

Subtract $\mathrm{a}-4\mathrm{b}-3\mathrm{c} \text{from} \mathrm{a}+2\mathrm{b}-6\mathrm{c}$.

Find the sum of $5\mathrm{a}-3\mathrm{b}, 7\mathrm{b}-3\mathrm{c} \text{and} 9\mathrm{c}-\mathrm{a}$.

Add $7\mathrm{x}-2\mathrm{y}-4\mathrm{z}\text{ to }-2\mathrm{x}+3\mathrm{y}-5\mathrm{z}$.

What should be subtracted from  $9{\mathrm{x}}^2-5{\mathrm{y}}^2+2\mathrm{xy}$ to get ${\mathrm{y}}^2-{\mathrm{x}}^2-5\mathrm{xy}+20$?

What should be added to $2{\mathrm{x}}^2+\mathrm{xy}-7{\mathrm{y}}^2$ to get $8{\mathrm{x}}^2+8\mathrm{xy}$.

Subtract the following algebraic expression.

$6\mathrm{ab}-{\mathrm{b}}^2-2{\mathrm{a}}^2 \mathrm{from} 8{\mathrm{a}}^2+6{\mathrm{b}}^2-\mathrm{ab}$