Multiplying algebraic expressions is the same as multiplying conventional numbers, and therefore, the rules we apply to these will also be applied to algebraic expressions.
In algebraic expressions that contain variables or parentheses, it is not necessary to write the multiplication sign.
For example:
\( 3x+4x+7+2=\text{?} \)
Remember that the rules of multiplication for algebraic expressions are the same as the multiplication rules for numbers.
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\( 3z+19z-4z=\text{?} \)
Are the expressions the same or not?
\( 20x \)
\( 2\times10x \)
Are the expressions the same or not?
\( 3+3+3+3 \)
\( 3\times4 \)
Since each student has a different learning pace, the answer to this question is individual for each one.
The important thing is that you are aware of your level, and know if you need to practice the formulas more.
Anyway, to memorize the basic formula, it is recommended to do 10 exercises of basic and medium level. ย
To solve the exercise, we will reorder the numbers using the substitution property.
To continue, let's remember an important rule:
1. It is impossible to add or subtract numbers with variables.
That is, we cannot subtract 7 from 8X, for example...
We solve according to the order of arithmetic operations, from left to right:
Remember, these two numbers cannot be added or subtracted, so the result is:
It is important to remember that when we have numbers and variables, it is impossible to add or subtract them from each other.
We group the elements:
29.2a + 2.3 + 8a =
And in this exercise, this is the solution!
You can continue looking for the value of a.
But in this case, there is no need.
Are the expressions the same or not?
Yes
Are the expressions the same or not?
\( 18x \)
\( 2+9x \)
\( x+x= \)
\( 5+8-9+5x-4x= \)
