ONE STEP EQUATIONS WITH RATIONAL COEFFICIENTS WORKSHEET

Problem 1 : 

Solve for x : 

x + 3.2  =  -8.5

Problem 2 : 

Solve for x : 

30  =  -0.5a

Problem 3 : 

Solve for a : 

-2/3 + y  =  8

Problem 4 : 

Solve for p : 

-p/3.5  =  9.2

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 ?

Problem 6 : 

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

Detailed Answer Key

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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