Basics of Algebraic Expressions

Identify the terms and factors of $1+x+x^2$ and show them in tree diagram.

State whether the following statement is true or false.

On the number line, the position of a number $-9$ lies on the right-hand side of the origin.

State whether the following statement is true or false.

On the number line, the position of a number $5$ lies on the right-hand side of the origin.

Identify the variables from the following algebraic expression.

$x+y+z+1$

State whether the following statement is true or false.

$m$ is the variables in the below algebraic expression.

$m+99$

State whether the following statement is true or false.

$p \& q$ are the variables in the below algebraic expression.

$9p+3q+108$

Identify the constants and variables from the following algebraic expression.

$x+95$

State whether the following statement is true or false.

The expression $x-31$ contains both constant and variable.

State whether the following statement is true or false.

The expression $x+29$ contains both constant and variable.

Identify the variables from the following algebraic expression.

$5+3x+9y$

Identify the variables from the following algebraic expression.

$2a+3b+4$

Identify the constants and variables from the following algebraic expression.

$3+8y$

Identify the constants and variables from the following algebraic expression.

$4x+5$

Write two like terms which are like $2l$.

Write two like terms which are like $4m{n}^2$.

Write two like terms which are like $7xy$.

Write two terms which are like $2\mathrm{l}$.

Write two terms which are like $4{\mathrm{mn}}^2$.

Write two terms which are like $7\mathrm{xy}$.

Give five examples of expressions containing one variable and five examples of expressions containing two variables.