Examples with solutions for Variables and Algebraic Expressions: Decimal numbers

Exercise #1

7.34a+2.3+8a=? 7.3\cdot4a+2.3+8a=\text{?}

Video Solution

Step-by-Step Solution

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= 7.3×4a + 2.3 + 8a =

29.2a + 2.3 + 8a = 

37.2a+2.3 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.

Answer

37.2a+2.3 37.2a+2.3

Exercise #2

3.43.4a+2.6b7.5a=? 3.4-3.4a+2.6b-7.5a=\text{?}

Video Solution

Answer

3.410.9a+2.6b 3.4-10.9a+2.6b

Exercise #3

7.8+3.5a80b7.8b+3.9a=? 7.8+3.5a-80b-7.8b+3.9a=\text{?}

Video Solution

Answer

7.8+7.4a87.8b 7.8+7.4a-87.8b

Exercise #4

39.3:4a+5a+8.2+13z=? 39.3:4a+5a+8.2+13z=\text{?}

Video Solution

Answer

13z+8.2+9.825a+5a 13z+8.2+\frac{9.825}{a}+5a

Exercise #5

5.6x+7.9y+53xy+12.1x=? 5.6x+7.9y+53xy+12.1x=\text{?}

Video Solution

Answer

17.7x+53xy+7.9y 17.7x+53xy+7.9y