1.08  Equation Solving

Basic Algebra: One Step at a Time.  Page 45 - 55:   #32, 33, 34,  35, 48, 49, 50, 51, 57.

Dr. Robert J. Rapalje

Seminole State College of Florida

Sanford, FL  32773  

To see Section 1.08, with detailed explanations, examples, exercises, and answers, click here!

p. 45-55:   Solve for x:

32.     

 Step 1:  Remove parentheses by distributive property.

 Step 2:  Combine like terms on the left side.

Step 4:  Get all number terms on the right side by subtracting 4.

Step 5:  Divide both sides by 9.

33.     

 Step 1:  Remove parentheses by distributive property.

 Step 2:  Combine like terms on the left side.

Step 3:  Get all variable terms on the left side by adding  .

Step 4:  Get all number terms on the right side by adding 4.

Step 5:  Divide both sides by -8.

34.     

 Step 1:  Remove parentheses by distributive property.

 Step 2:  Combine like terms on the left side.

Step 3:  All the variable terms are already on the left side .

Step 4:  Get all number terms on the right side by subtracting 32 from each side.

Step 5:  Divide both sides by -2.

35.     

 Step 1:  Remove parentheses by distributive property.

 Step 2:  Combine like terms on the left side.

Step 3:  Get all the variable terms on the left side by adding +9x to each side.

Step 4:  Get all number terms on the right side by subtracting 30 from each side.

Step 5:  Divide both sides by 2.

48.            

Get all variable terms on the right side by adding  to each side.

Divide both sides by -6.

49.            

Combine like terms on the left side.

Get all variable terms on the left side by adding  .to each side.

Divide both sides by -6.

50.    

 Remove parentheses by distributive property.

 Combine like terms on the left side.

Get all number terms on the right side by subtracting 8 from each side.

Divide both sides by 3.

51.    

Remove parentheses by distributive property.

Combine like terms on the left side.

Get all number terms on the right side by subtracting 17 from each side.

Divide both sides by -3.

57.    

Remove parentheses by distributive property.

There are NO like terms to combine on either side, and you have a  term on each side. 

Fortunately, if you add  to each side, these will all subtract out!             

Get all variable terms on the right side by adding 2j  to each side.

Divide both sides by 5.

Return to main page      Return to Basic Algebra page     Math in Living C O L O R !!