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Transformation Of Expression Into Phrase (multiple Operations)

Transformation of Expression into Phrase involving Addition and Subtraction

  • Transformation of an expression into a phrase means writing the algebraic expression into words.
  • Here, we will transform the expression in which two operations i.e., addition and subtraction are used.

For example: \((x+7) - 2\)

According to PEMDAS rule, the addition or subtraction should be performed in the order from left to right. 

Here, first, a variable \(x\) is added to \(7\) and then \(2\) is subtracted from the sum of \(x\) and \(7\).

Thus, this can be written as:

\(2\) is subtracted from the sum of \(x\) and \(7\).

Illustration Questions

Which statement correctly represents the expression: \((y-6) + 10 \)? 

A \(10\) is added to the subtraction of \(6\) from \(y\)

B \(6\) is added to the subtraction of \(10\) from \(y\)

C \(6\) is added to the subtraction of \(y\) from \(10\)

D \(y\) is added to the subtraction of \(10\) from \(6\)

×

Given expression:

\((y-6)+10\)

According to PEMDAS rule, the addition or subtraction should be performed in the order from left to right. 

First, \(6\) is subtracted from \(y\).

Then, \(10\) is added.

Thus, \((y-6)+10\) can be written as:

\(10\) is added to the subtraction of \(6\) from \(y\).

Hence, option (A) is correct.

Which statement correctly represents the expression: \((y-6) + 10 \)? 

A

\(10\) is added to the subtraction of \(6\) from \(y\)

.

B

\(6\) is added to the subtraction of \(10\) from \(y\)

C

\(6\) is added to the subtraction of \(y\) from \(10\)

D

\(y\) is added to the subtraction of \(10\) from \(6\)

Option A is Correct

Transformation of Expression into Phrase involving Addition and Multiplication

  • Transformation of an expression into a phrase means writing the algebraic expression into words.
  • Here, we will transform the expression in which two operations i.e., addition and multiplication are used.

For example: \(2y+4\)

According to PEMDAS rule, the multiplication is performed first and then the addition.

 First, a variable \(y\) is multiplied by \(2\) and then \(4\) is added to the product of \(2\) and \(y\).

Hence, this can be written as:

\(4\) is added to the product of \(2\) and \(y\).

Illustration Questions

Which statement correctly represents the expression: \(7 + 3x\)?

A \(3\) is added to the product of \(7\) and \(x\)

B \(7\) is added to the product of \(3\) and \(x\)

C \(x\) is added to the product of \(7\) and \(3\)

D \(x\) is added to the sum of \(3\) and \(7\)

×

Given expression:

\(7+3x\)

 

According to PEMDAS rule, the multiplication is performed first and then the addition.

First, \(3\) is multiplied by \(x\).

Then, \(7\) is added.

Thus, \((7+3x)\) can be written as:

\(7\) is added to the product of \(3\) and \(x\).

 

Hence, option (B) is correct.

Which statement correctly represents the expression: \(7 + 3x\)?

A

\(3\) is added to the product of \(7\) and \(x\)

.

B

\(7\) is added to the product of \(3\) and \(x\)

C

\(x\) is added to the product of \(7\) and \(3\)

D

\(x\) is added to the sum of \(3\) and \(7\)

Option B is Correct

Transformation of Expression into Phrase involving Subtraction and Multiplication

  • Transformation of an expression into a phrase means writing the algebraic expression into words.
  • Here, we will transform the expression in which two operations i.e., subtraction and multiplication are used.

For example: \(24-5a\)

According to PEMDAS rule, the multiplication is performed first and then the subtraction.

Thus, first, \(5\) is multiplied by \(a\), then the product of \(5\) and \(a\) is subtracted from \(24\).

Hence, this can be written as:

The product of \(5\) and \(a\) is subtracted from \(24\)

Illustration Questions

Which statement correctly represents the expression: \(2c-16\)?

A The product of \(16\) and \(c\) is subtracted from \(2\)

B The product of \(2\) and \(c\) is subtracted from \(16\)

C \(2\) is subtracted from the product of \(c\) and \(16\)

D \(16\) is subtracted from the product of \(2\) and \(c\)

×

Given expression:

\(2c-16\)

 

According to PEMDAS rule, the multiplication is performed first and then the subtraction.

First, \(2\) is multiplied with \(c\).

Then, \(16\) is subtracted.

Thus, \(2c-16\) can be written as:

\(16\) is subtracted from the product of \(2\) and \(c\).

Hence, option (D) is correct.

Which statement correctly represents the expression: \(2c-16\)?

A

The product of \(16\) and \(c\) is subtracted from \(2\)

.

B

The product of \(2\) and \(c\) is subtracted from \(16\)

C

\(2\) is subtracted from the product of \(c\) and \(16\)

D

\(16\) is subtracted from the product of \(2\) and \(c\)

Option D is Correct

Transformation of Expression into Phrase involving Addition and Division

  • Transformation of an expression into a phrase means writing the algebraic expression into words.
  • Here, we will transform the expression in which two operations i.e., addition and division are used.

For example: \(\dfrac{6}{a} + 3\)

According to PEMDAS rule, the division is to be performed first and then the addition.

Thus, first, \(6\) is divided by '\(a\)' and then \(3\) is added to the quotient of \(6\) by '\(a\) '.

Hence, this can be written as:

\(3\) is added to the quotient of \(6\) by '\(a\)'.

Illustration Questions

Which statement correctly represents the expression: \(\dfrac{b}{4} + 6\)?

A The sum of \(b\) by \(6\) is divided by \(4\)

B The quotient of \(6\) by \(4\) is added to \(b\)

C The quotient of \(b\) by \(4\) is added to \(6\)

D The quotient of \(b\) by \(6\) is added to \(4\)

×

Given expression:

\(\dfrac{b}{4} + 6\)

 

According to PEMDAS rule, the division is to be performed first and then the addition.

First, find the quotient of \(b\) by \(4\).

Then, \(6\) is added.

Thus, \(\dfrac{b}{4} +6 \) can be written as:

The quotient of \(b\) by \(4\) is added to \(6\).

 

Hence, option (C) is correct.

Which statement correctly represents the expression: \(\dfrac{b}{4} + 6\)?

A

The sum of \(b\) by \(6\) is divided by \(4\)

.

B

The quotient of \(6\) by \(4\) is added to \(b\)

C

The quotient of \(b\) by \(4\) is added to \(6\)

D

The quotient of \(b\) by \(6\) is added to \(4\)

Option C is Correct

Transformation of Expression into Phrase involving Subtraction and Division

  • Transformation of an expression into a phrase means writing the algebraic expression into words.
  • Here, we will transform the expression in which two operations i.e., subtraction and division are used.

For example: \(\dfrac{4}{c}- 2\)

According to PEMDAS rule, the division is to be performed first and then the subtraction.

Thus, first, \(4\) is divided by c and then \(2\) is subtracted from the quotient of \(4\) by c.

Hence, this can be written as:

\(2\) is subtracted from the quotient of \(4\) by c.

Illustration Questions

Which statement correctly represents the expression: \(5-\dfrac{b}{10}\)?

A \(10\) is subtracted from the quotient of \(b\) by \(5\)

B \(5\) is subtracted from the quotient of \(b\) by \(10\)

C The quotient of \(b\) by \(5\) is subtracted from \(10\)

D The quotient of \(b\) by \(10\) is subtracted from \(5\)

×

Given expression:

\(5-\dfrac {b}{10}\)

 

According to PEMDAS rule, the division is to be performed first and then the subtraction.

First, find the quotient of \(b\) by \(10\).

Then, subtract the quotient from \(5\).

Thus, \(5-\dfrac{b}{10}\) can be written as:

The quotient of \(b\) by \(10\) is subtracted from \(5\).

 

Hence, option (D) is correct.

Which statement correctly represents the expression: \(5-\dfrac{b}{10}\)?

A

\(10\) is subtracted from the quotient of \(b\) by \(5\)

.

B

\(5\) is subtracted from the quotient of \(b\) by \(10\)

C

The quotient of \(b\) by \(5\) is subtracted from \(10\)

D

The quotient of \(b\) by \(10\) is subtracted from \(5\)

Option D is Correct

Transformation of Expression into Phrase involving Multiplication and Division

  • Transformation of an expression into a phrase means writing the algebraic expression into words.
  • Here, we will transform the expression in which two operations i.e., multiplication and division are used.

For example: \(\dfrac{2c}{3}\)

According to PEMDAS rule, the multiplication and division should be operated in the order from left to right.

Here, first, \(2\) is multiplied by \(c\) and then the product of  \(2\) and \(c\) is divided by \(3\).

Thus, this can be written as:

The product of \(2\) and \(c\) is divided by \(3\).

Illustration Questions

Which statement correctly represents the expression: \(\dfrac{3a}{2}\)?

A The product of \(2\) and \(a\) is divided by \(3\)

B The product of \(3\) and \(a\) is divided by \(2\)

C \(2\) is divided by the product of \(3\) and \(a\)

D \(3\) is divided by the product of \(2\) and \(a\)

×

Given expression:

\(\dfrac{3a}{2}\)

 

According to PEMDAS rule, the multiplication and division should be operated in the order from left to right.

Here, first, \(3\) is multiplied by \(a\) and then the product is divided by \(2\).

 

Thus, \(\dfrac{3a}{2}\) can be written as:

The product of \(3\) and \(a\) is divided by \(2\).

 

Hence, option (B) is correct.

Which statement correctly represents the expression: \(\dfrac{3a}{2}\)?

A

The product of \(2\) and \(a\) is divided by \(3\)

.

B

The product of \(3\) and \(a\) is divided by \(2\)

C

\(2\) is divided by the product of \(3\) and \(a\)

D

\(3\) is divided by the product of \(2\) and \(a\)

Option B is Correct

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