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## Algebra (all content)

### Unit 1: Lesson 6

Introduction to equivalent algebraic expressions

# Equivalent expressions

Sal finds equivalent expressions by combining like terms and using the distributive property.

## Want to join the conversation?

• how should i remember order of ops (operations)?
• PEMDAS does really help. You can also remember it as please excuse my dear aunt sally.
• i see people using PEMDAS as order of operations. But what i learned was BEDMAS
Brackets
Exponents
Division
Multiplication
Subtraction
Im pretty sure it means the same thing but why does everyone have a different name for it?
• They are the same, but the two together show some good distinctions. Brackets [] and Parentheses () both have to include the other one because you could see both. It also reminds us that division and multiplication are on the same level, so generally done left to right. Also, addition and subtraction are on the same level left to right.
• Is a number with multiple letters accountable? (2jkl).
• What matters is the idea of a common factor , if you have:

2kjl +4kj +2 you can still factor this as : 2(kjl + 2kj +1) the expressions are still equivalent
• what does sal mean when he said he can factor the two out? and how did he get one from the two?
• Factoring is the opposite of multiplying by distribution.
For example:
Multiplication: 2(5x+1) = 2(5x) + 2(1) = 10x+2
To factor, you reverse the process. You identify the common factor in both terms (the 2), you write the 2 in front and you divide each term by 2.
10x+2 = 2(10x/2 + 2/2) = 2(5x+1)

Notice, the 2/2 = 1, that is where the 1 is coming from in the video.

Hope this helps.
• ุฃูู ุงูุนุฑุจ ููุงุ :)
• i'm confused...could you translate that to English please?
• I still don't get it..How can I learn this without having negative thoughts about how dumb I really am?
• Itโs important to give yourself time, understanding math concepts is a matter of effort but also patience, donโt beat yourself down because you think you canโt do it, and ask questions if you get stuck
• This helps slightly, but I still don't get it. Can anyone help?
• why do you have a 1 left over at ?
• When you multiply 2 by x and 2 by y and 2 by 1 you get 2x+2y+2. I hope that helps.
• Wow,ok how about 15x+4+y+5
• In this case you canโt make any useful factorizations, notice that to factor an expression, every argument should in this case be a multiple of 5 in order to factor out a 5
(1 vote)
• Solution for d in the equation 6e=ef+3d