Inverse operations are opposite operations – one reverses the effect of the other.

- Addition and subtraction are inverse-operations
- Multiplication and division are inverse-operations

Inverse-operations are used to isolate the given variable.

**Example 1 :**

Solve 7k = 35 using inverse operation

**Solution :**

Here 7 is multiplied by k. To find the value of k, we need to use inverse operation.

Inverse operation of multiplication is division

dividing by 7 on both sides, we get

7k/7 = 35/7

k = 5

**Example 2 :**

Solve k + 7 = 9 using inverse operation

**Solution :**

Here k is added to k. To find the value of k, we need to use inverse operation.

Inverse operation of addition is subtraction

Subtracting 7 on both sides, we get

k + 7 - 7 = 9 - 7

k = 2

**Example 3 :**

Solve b/8 = 7 using inverse operation

**Solution :**

Here b is divided by 8. To find the value of b, we need to use inverse operation.

Inverse operation of division is multiplication.

Multiplying by 8 on both sides, we get

b = 56

**Example 4 :**

Solve m - 15 = 9 using inverse operation

**Solution :**

Here 15 is subtracted from m. To find the value of m, we need to use inverse operation.

Inverse operation of subtraction is addition.

Adding 15 on both sides, we get

m - 15 + 15 = 9 + 15

m = 24

**Example 5 :**

Solve z + 17 = 23 using inverse operation

**Solution :**

Here 17 is added with z. To find the value of z, we need to use inverse operation.

Inverse operation of addition is subtraction.

Subtract 17 on both sides, we get

z + 17 - 17 = 23 - 17

z = 6

**Example 6 :**

Solve 2 x + 5 = 23

**Solution :**

To find the value of x, we need to isolate x. Here 5 is added to 2x. In order to remove this 5, we have to subtract by 5 on both sides.

2 x + 5 - 5 = 23 - 5

2 x = 18

Now x is multiplied by 2. To find the value of x we have to divide by 2 on both sides.

2x / 2 = 18 / 2

x = 9

**Example 7 :**

Solve p - 7 = 3

**Solution :**

Here 7 is subtracted from p. To isolate p we have to add by 7 on both sides.

Inverse operation of subtraction is addition.

p - 7 + 7 = 3 + 7

p = 10

**Example 8 :**

Solve 2r - 6 = 3

**Solution :**

Here 6 is subtracted from 2r. To isolate 2r, we have to add 6 on both sides.

2r - 6 + 6 = 3 + 6

2r = 9

2r/2 = 9/2

r = 9/2

**Example 9 :**

Solve 8 - p = 2

**Solution :**

Here p is subtracted from 8. To isolate p, we have to subtract 8 on both sides.

8 - p - 8 = 2 - 8

- p = -6

by multiplying -1 on both sides, we get

p = 6

**Example 10 :**

Solve 10 - m = -15

**Solution :**

Here m is subtracted from 10. To isolate m, we have to subtract 10 on both sides.

10 - m - 10 = -15 - 10

- m = -25

by multiplying -1 on both sides, we get

m = 25

- Area and polygons
- Inverse operations
- Area of square and rectangles
- Area of quadrilaterals
- Area of a parallelogram
- Finding the area of a trapezoid
- Finding the area of a rhombus
- Area of triangles
- Finding the area of a triangle
- Problems using area of a triangles
- Solving area equations
- Writing equations using the area of a trapezoid
- Solving multistep problems
- Area of polygons
- Finding areas of polygons
- Real world problems involving area and perimeter of polygon

After having gone through the stuff given above, we hope that the students would have understood "Inverse operations".

Apart from the stuff given above, if you want to know more about "Inverse operations", please click here

Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.

Widget is loading comments...

You can also visit our following web pages on different stuff in math.

**WORD PROBLEMS**

**Word problems on simple equations **

**Word problems on linear equations **

**Word problems on quadratic equations**

**Area and perimeter word problems**

**Word problems on direct variation and inverse variation **

**Word problems on comparing rates**

**Converting customary units word problems **

**Converting metric units word problems**

**Word problems on simple interest**

**Word problems on compound interest**

**Word problems on types of angles **

**Complementary and supplementary angles word problems**

**Trigonometry word problems**

**Markup and markdown word problems **

**Word problems on mixed fractrions**

**One step equation word problems**

**Linear inequalities word problems**

**Ratio and proportion word problems**

**Word problems on sets and venn diagrams**

**Pythagorean theorem word problems**

**Percent of a number word problems**

**Word problems on constant speed**

**Word problems on average speed **

**Word problems on sum of the angles of a triangle is 180 degree**

**OTHER TOPICS **

**Time, speed and distance shortcuts**

**Ratio and proportion shortcuts**

**Domain and range of rational functions**

**Domain and range of rational functions with holes**

**Graphing rational functions with holes**

**Converting repeating decimals in to fractions**

**Decimal representation of rational numbers**

**Finding square root using long division**

**L.C.M method to solve time and work problems**

**Translating the word problems in to algebraic expressions**

**Remainder when 2 power 256 is divided by 17**

**Remainder when 17 power 23 is divided by 16**

**Sum of all three digit numbers divisible by 6**

**Sum of all three digit numbers divisible by 7**

**Sum of all three digit numbers divisible by 8**

**Sum of all three digit numbers formed using 1, 3, 4**

**Sum of all three four digit numbers formed with non zero digits**