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More Lessons for Algebra

Math Worksheets

In this lesson, we will look at solving equations by division, multiplication or taking the reciprocal.

### Solving Equations by Division

*x* = 6 into original equation)

Example of solving equations using division.

Example:

2x = -140

** Solving Equations by Multiplication **

Example of solving equations by multiplication.

Example:

x/9 = -6

### Solving equations by taking the reciprocal

Example of solving equations by taking the reciprocal.

Example:

2/3 x = -4/3

More Lessons for Algebra

Math Worksheets

In this lesson, we will look at solving equations by division, multiplication or taking the reciprocal.

Consider the equation 4*x* = 24. The variable is being multiplied by 4. To write an equivalent equation with the variable isolated, divide by 4 on both sides.

* Example: *

Solve 4*x* = 24

* Solution: *

4*x* = 24

(Divide by 4 on both sides)

* x* = 6

** Check: **

4*x* = 24

Example of solving equations using division.

Example:

2x = -140

To solve the equation , we notice that the variable is being divided by 5. To write an equivalent equation with the variable isolated, multiply by 5 on both sides.

* Example: *

Solve

* Solution: *

* Check: *

(Substitute *x* = 30 in the original equation)

Example of solving equations by multiplication.

Example:

x/9 = -6

Consider the equation . The variable is being multiplied by . To write an equivalent equation with the variable isolated, multiply by the reciprocal, which is , on both sides.

* Example: *

Solve

* Solution: *

* Check: *

Example of solving equations by taking the reciprocal.

Example:

2/3 x = -4/3

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