**Write variable expressions :**

A variable is a letter or symbol used to represent an unknown or unspecified number. The value of a variable may change.

The variables can take different values; they have no fixed value. But they are numbers. That is why as in the case of numbers, operations of addition, subtraction, multiplication and division can be done on them.

One important point must be noted regarding the expressions containing variables.

A number expression like (4 × 3) + 5 can be immediately evaluated as (4 × 3) + 5 = 12 + 5 = 17

But an expression like (4x + 5), which contains the variable x, cannot be evaluated. Only if x is given some value, an expression like (4x + 5) can be evaluated.

Let us see some example problems to understand how to write variable expressions.

**Example 1 :**

12 subtracted from z

**Solution :**

**To form variable expression for the given statement we need to use the binary operator "-".**

**We need to subtract "12" from "z"**

**Example 2 :**

25 added to r

**Solution :**

**To form variable expression for the given statement we need to use the binary operator "+".**

**We need to add "25" with "r"**

**Hence the variable expression for the given statement is "25 + r"**

**Example 3 :**

p multiplied by 16

**Solution :**

**To form variable expression for the given statement we need to use the binary operator "x".**

**We need to multiply p by 16**

**Hence the variable expression for the given statement is "16p"**

**Example 4 :**

y multiplied by 10 and then 7 added to the product

**Solution :**

**To form variable expression for the given statement we need to use the binary operators "x" and "+".**

y multiplied by 10 = y **x** 10 = 10 y

7 added to the product = 10 y + 7

**Example 5 :**

n multiplied by 2 and 1 subtracted from the product

**Solution :**

**To form variable expression for the given statement we need to use the binary operators "x" and "-".**

n multiplied by 2 = n **x** 2 = 2 n

1 subtracted from the product = 2 n - 1

**Example 6 :**

– p multiplied by 5

**Solution :**

**To form variable expression for the given statement we need to use the binary operator "x". **

– p multiplied by 5 = -p **x** 5 = -5p

**Example 7 :**

11 added to 2m

**Solution :**

**To form variable expression for the given statement we need to use the binary operator "+". **

11 added to 2m = 2m + 11

**Example 8 :**

5 times y to which 3 is added

**Solution :**

**To form variable expression for the given statement we need to use the binary operators "x" and "+". **

5 times y = 5 y

to which 3 is added = 5y + 3

**Example 9 :**

5 times y from which 3 is subtracted

**Solution :**

**To form variable expression for the given statement we need to use the binary operators "x" and "-". **

5 times y = 5 y

which 3 is subtracted = 5y - 3

**Example 10 :**

y is multiplied by – 8 and then 5 is added to the result

**Solution :**

**To form variable expression for the given statement we need to use the binary operators "x" and "+". **

y is multiplied by – 8 = -8 y

5 is added to the result = -8y + 5

After having gone through the stuff given above, we hope that the students would have understood "Write variable expressions".

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