Question

A list of algebraic expressions and equations is given below.

$\begin{array}{ccc}3x+5& y=4& 2m+4=8\\ x-y& 3y=9& 2(3x+5y)\end{array}$

Which of the following is an algebraic expression?

• A. $3x+5$
• B. $2(3x+5y)$
• C. All of the above
• D. $x-y$

Answer 1

The correct option is C All of the above

An expression or algebraic expression is any mathematical statement that consists of numbers, variables, and an arithmetic operation between them. For example, $4m+5$ is an expression where $4m$ and $5$ are the terms, and $m$ is the variable of the given expression separated by the arithmetic sign +.

The equation is an expression where two sides are connected through an equal sign $(=).2x+1=9$ is an equation where $2x+1$ is the left-hand side (LHS) and 9 is the expression’s right-hand side (RHS). The equal sign between LHS and RHS indicates that the value of the LHS is equal to the RHS of the expression.

In this question, $3x+5$ is an algebraic expression, where $3x$ and $5$ are the terms, and x is the variable of the given expression separated by the arithmetic sign +.
$x-y$ is an algebraic expression where x and y are the terms, and x and y are the variables of the given expression separated by the arithmetic sign −.
$2(3x+5y),$ which is also $6x+10y,$ is an algebraic expression where $6x$ and $10y$ are the terms, and x and y are the variables of the given expression separated by the arithmetic sign +.

Option D, which says all the three options are correct, is the correct option.