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Algebraic Expressions

How To Build and Simplify Algebraic Expressions using coefficients, variables, operators, and exponents.

Algebraic Expressions list out expressions in terms of variables and coefficients. For each operator sign, we cover the list of trigger words:

Add, added to, plus, increased by mean addition.
Subtract, minus, decreased by, reduced by, diminished by mean subtraction.
Multiply, times, multiplied by, the product of mean multiplication.
Divided by, Divide, Over mean division.
Equals, is equal to, is the same as, is mean an equation using the (=) sign.

We cover the multiplier words such as:
Twice and Double mean multiply by 2
Thrice and Triple mean multiply by 3
Quadruple means multiply by 4

Finally, we cover exponents in algebraic expressions:
Squared means raise to the power of 2
Cubed means raise to the power of 3

Calculator:
https://www.mathcelebrity.com/algexpress.php

Timestamps:
00:00 Intro
00:22 Definition of Algebraic Expressions
00:44 Algebraic Expressions Example
02:01 Explicit Variables
02:23 Arbitrary Variables
03:09 Addition Phrases
04:48 Subtraction Phrases
05:21 Multiplication Phrases
06:07 Division Phrases
07:01 Equality Operators
08:37 Non-Equality Operators
09:27 Coefficient Multipliers
10:45 Exponent Phrases