Multiplication of Algebraic Expressions - Examples, Exercises and Solutions

$18x-7+4x-9-8x=\text{?}$

To solve the exercise, we will reorder the numbers using the substitution property.

$18x-8x+4x-7-9=$

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:

$18x-8x=10x$$10x+4x=14x$$-7-9=-16$Remember, these two numbers cannot be added or subtracted, so the result is:

$14x-16$

$14x-16$

$7.3\cdot4a+2.3+8a=\text{?}$

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:

$7.3×4a + 2.3 + 8a =$

29.2a + 2.3 + 8a = 

$37.2a + 2.3$

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.

$37.2a+2.3$

$\frac{9m}{3m^2}\times\frac{3m}{6}=$

According to the laws of multiplication, we must first simplify everything into one exercise:

$\frac{9m\times3m}{3m^2\times6}=$

We will simplify and get:

$\frac{9m^2}{m^2\times6}=$

We will simplify and get:

$\frac{9}{6}=$

We will factor the expression into a multiplication:

$\frac{3\times3}{3\times2}=$

We will simplify and get:

$\frac{3}{2}=1.5$

$0.5m$

Are the expressions the same or not?

$3+3+3+3$

$3\times4$

Yes

Are the expressions the same or not?

$20x$

$2\times10x$

Yes

Are the expressions the same or not?

$18x$

$2+9x$

No

$5+8-9+5x-4x=$

4+X

$11+5x-2x+8=$

19+3X

$3x+4x+7+2=\text{?}$

$7x+9$

$3z+19z-4z=\text{?}$

$18z$

$x+x=$

$2x$

$5+0+8x-5=$

$8X$

Are the expressions the same or not?

$0.5x\times1$

$0.5x+0$

Yes

Are the expressions the same or not?

$15x-30$

$45-15-5x+15x$

No

$7a+8b+4a+9b=\text{?}$

$11a+17b$