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Course: Algebra (all content)>Unit 2

Lesson 4: One-step multiplication & division equations

One-step division equations

In this lesson, we learn how to solve simple algebraic equations systematically. We focus on understanding the meaning of equations, like 7x = 14, and using techniques like dividing both sides of the equation by the coefficient to isolate the variable. This method helps us find the value of the unknown variable, making algebra easier and more approachable. Created by Sal Khan.

Want to join the conversation?

• Why is "x" used in algebra to represent a variable?
• "X" probably might have been used the most in algebra to represent a variable becuase it is the first letter in the word "xeno", which in Greek means unknown or stranger. Also, during the Islamic civizilation, "shei" meant thing or object. The Greeks might have translated that to "xei", thus leading to the variable "x". Other reasons are that "x" was an easy symbol to write in ancient times, since pencils and pens were not common- or even created- and people had to write with ink and a feathers.
• Can i know from where did you get the 1/3?
• He got 1/3 because the left side was 3x. If, for example, he had 4x, he would have multiplied by 1/4; if he had 5x, he would have multiplied by 1/5, and so on.
• I like how all the comments are over 10 years ago.
• You are seeing the top rated questions and answers. You can change the sort order to "Recent" to see newer ones.
• At where did you get the 1/3 and how come 15 times 1/3 = 1x ?
• It's the same thing as dividing by 3.If you multiply the three by the 1/3, you get 3/3x, which simplifies to 1x. When you do that to the other side,you get 15/3, which simplifies to 5.
• How would you do division problems with negative numbers when you are solving equations?
• Here are the Instructions for the Multiplication and Division of integer numbers. Hope it help:

III- MULTIPLICATION: Very easy if you remember these 3 rules

Rule No. 1: A positive number multiplied by a negative number always results in a negative number. Example: (+60) x (-3) = -180

Rule No. 2: A negative number multiplied by a negative number always results in a positive number. Example: (-15) x (-3) = +45 or 45 (without a sign, means positive)

Rule No. 3: A positive number multiplied by a positive number always results in a positive number. Example: (+30) x (+8) = +240 or 240 (without a sign, means positive)

IV- DIVISION: 3 rules, very similar to the 3 rules of Multiplication

Example 1: +48 ÷ -3 = -16
Example 2: +48 ÷ +3 = 16
Example 3: -48 ÷ -3 = 16
• how I can simplify an equation?
• for example 7x=14 can be used in many ways such as 2x=14 because x = 2 you could also do 7 times 2=x
• how solving two step equation different from solving one step equation?
• Not at all different, just more steps required to isolate and solve for the variable.
One Step: x - 5 = 10
More than one step: (2/3)x - 5 = 6x + 1/2