ONE STEP EQUATIONS WITH RATIONAL COEFFICIENTS

In this section, you will learn how to solve one step equations with rational coefficients using one of the four binary operations addition, subtraction, multiplication and division. 

Problem 1 : 

Solve for x : 

x + 3.2  =  -8.5

Solution : 

x + 3.2  =  -8.5

Subtract 3.2 from each side. 

x  =  -11.7

Problem 2 : 

Solve for x : 

30  =  -0.5a

Solution : 

30  =  -0.5a

Divide each side by (-0.5). 

-60  =  a

Problem 3 : 

Solve for a : 

-2/3 + y  =  8

Solution : 

-2/3 + y  =  8

Add 2/3 to each side.

y  =  8 ⅔

Problem 4 : 

Solve for p : 

-p/3.5  =  9.2

Solution : 

-p/3.5  =  9.2

Multiply each side by (-3.5).  

p  =  -32.2

Problem 5 : 

A painter works 37.5 hours one week. If he had worked 5 days, how many hours did he work on average per day ?

Solution : 

Let x be the number of hours he worked per day. 

Write an equation.

5x  =  37.5

Divide each side by 5.

x  =  7.5

So, the painter worked 7.5 hours on average per day. 

Problem 6 : 

When two times of a number is divided by 7, the result is 12. Find the number.  

Solution : 

Let x be the number of boxes.

Then,

2x/7  =  12

Multiply each side by 7/2.

x  =  42

So, the number is 42.

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