Informative line

# 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 $$7$$.

#### 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 $$y$$.

#### 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 $$24$$

#### 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 '$$a$$'.

#### 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.

#### 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 $$3$$.

#### 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