- Different operations can be performed when variables are involved.
- To write an expression for a given statement, follow three steps:

(i) Identify the number.

(ii) Identify the operations involved.

(iii) Identify the variable.

Important phrases for addition: Increased, sum, altogether, more than, plus.

Important phrases for multiplication: Product, times, of, groups.

**For example:** "\(2\) more than the twice of a number."

(i) \(2\) is a number.

(ii) 'more than' means addition and 'twice' means multiplication by \(2\) .

(iii) A number which is unknown, let it be \(x.\)

- The statement says,

twice of a number means \(2\) times a number \(=2x\)

- Two more than \(2x\) is :

\(2x+2\)

A \(4x-3\)

B \(4x+3\)

C \(3x+4\)

D \(3x-4\)

- Different operations can be performed when variables are involved.
- To write an expression for a given statement, follow three steps-

(i) Identify the number.

(ii) Identify the operations involved.

(iii) Identify the variable.

Important phrases for addition: increased, sum, altogether, more than and plus.

Important phrases for subtraction: difference, take away, less than, subtraction, decreases.

**For example:** \(9\) less than the sum of \(6\) and \(x\).

- Here \(9\) and \(6\) are the numbers.
- 'Sum' and 'less than' words represent two operations, addition and subtraction respectively.
- \(x\) is the variable.
- The statement says,

sum of \(6\) and \(x\)

\(\Rightarrow \; x+6\)

\(9\) less than \(x+6\) is:

\((x+6) - 9\)

A \(11-(x+7)\)

B \((x+7)-11\)

C \(7x+11\)

D \(11x+7\)

- Different operations can be performed when variables are involved.
- To write an expression for a given statement, follow three steps:

(i) Identify the number.

(ii) Identify the operations involved.

(iii) Identify the variable.

**For example:**

"\(5\) times a number and \(3\) less."

(i) \(5\) and \(3\) are the two numbers which are known.

(ii) 'times' means multiplication and 'less' means subtraction.

(iii) A number which is unknown, let it be \(x.\)

- The statement says

\(5\) times a number \(=5x\)

\(5x\) and \(3\) less is:

\(5x-3\)

A \(4x-7\)

B \(7x-4\)

C \(7x+4\)

D \(\dfrac{x}{7}+4\)

- Different operations can be performed when variables are involved.
- To write an expression for a given statement, follow three steps:

(i) Identify the number.

(ii) Identify the operations involved.

(iii) Identify the variable.

Important phrases for addition: increased, sum, altogether, more than, plus.

Important phrases for division: quotient, split up, divided.

**For example:**

"\(7\) more than the quotient of a number and \(3\) ."

(i) \(7\) and \(3\) are the two numbers which are known.

(ii) 'more than' means addition and 'quotient' means division.

(iii) A number which is unknown, let it be \(x.\)

- The statement says,

quotient of a number and \(3,\)

\(\Rightarrow\;\dfrac{x}{3}\)

- \(7\) more than \(\dfrac{x}{3}\) is:

\(\Rightarrow \dfrac{x}{3}+7\)

A \(3x+6\)

B \(4x+6\)

C \(4x-6\)

D \(\dfrac{4}{x}+6\)

- Different operations can be performed when variables are involved.
- To write an expression for a given statement, follow three steps:

(i) Identify the number.

(ii) Identify the operations involved.

(iii) Identify the variable.

**For example:**

"Take away \(1\) from the quotient of a number and \(2\) ."

(i) Here, \(1\) and \(2\) are the two numbers which are known.

(ii) 'Take away' means subtraction and 'quotient' means division.

(iii) A number which is unknown, let it be \(x.\)

- The statement says,

quotient of a number and \(2=\dfrac{x}{2}\)

Take away \(1\) from \(\dfrac{x}{2}\) is,

\(\dfrac{x}{2}-1\)

A \(10-\dfrac{x}{15}\)

B \(15x-10\)

C \(10-\dfrac{15}{x}\)

D \(\dfrac{15}{x}-10\)

- Different operations can be performed when variables are involved.
- To write an expression for a given statement, follow three steps:

(i) Identify the number.

(ii) Identify the operations involved.

(iii) Identify the variable.

**For example:**

"\(10\) times a number divided by \(18\) ."

(i) \(10\) and \(18\) are the two numbers which are known.

(ii) 'times' means multiplication and 'divided' means division.

(iii) A number which is unknown, let it be \(x.\)

The statement says,

\(10\) times a number \(=10x\)

\(10x\) divided by \(18\) is,

\(\dfrac{10x}{18}\)

A \(20x+21\)

B \(20x-21\)

C \(\dfrac{x}{21}\)

D \(\dfrac{20x}{21}\)