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# Identify the operations (addition, subtraction, division, multiplication) in forming the following expressions and tell how the expressions have been formed.

**(a)** $ z+1, z-1, y+17, y-17 $

**(b)** $ 17 y, \frac{y}{17}, 5 z $

**(c)** $ 2 y+17,2 y-17 $

**(d)** $ 7 m,-7 m+3,-7 m-3 $

To do:

We have to identify the operations (addition, subtraction, division, multiplication) in forming the given expressions and tell how the expressions have been formed.

Solution:

(a) $z + 1$ --> 1 is added to $z$

Addition operation is used

$z - 1$ --> 1 is subtracted from $z$

Subtraction operation is used

$y + 17$ --> 17 is added to $y$

Addition operation is used

$y - 17$ --> 17 is subtracted from $y$

Subtraction operation is used

(b) $17y$ --> $y$ is multiplied by 17

Multiplication operation is used

$\frac{y}{17}$ --> $y$ is divided by 17

Division operation is used

$5z$ --> $z$ is multiplied by 5

Multiplication operation is used

(c) $2y + 17$ --> $y$ is multiplied by 2 and 17 is added to the result

Multiplication and addition operations are used

$2y - 17$ --> $y$ is multiplied by 2 and 17 is subtracted from the result

Multiplication and subtraction operations are used

(d) $7m$ --> $m$ is multiplied by 7

Multiplication operation is used

$-7m + 3$ --> $m$ is multiplied by $-7$ and 3 is added to the result

Multiplication and addition operations are used

$-7m - 3$ --> $m$ is multiplied by $-7$ and 3 is subtracted from the result

Multiplication and subtraction operations are used.

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