MATH - SCIENCE INTEGRATION

bullet1 SOLVING ONE STEP EQUATIONS

bullet2 Division

x/a = b
To solve division equations you have to multiply both sides of the equation by the number you are dividing the variable by.


bullet3 Example 1

x/17 = 14
 
Solve:  Multiply both sides of the equation by 17.
              17(x/17) = 17(14)
 
Solution:  Since 17/17 is 1 you have 1x, which is writen as just x,
                            on the right handside of the =.
                    And 17(14) = 238 you have 238
                             on the left hand side of the =.
                     x = 238
 
Check:  Substitute 238 in for x in the original equation x/17 = 14
               238/17 = 14 and 14 = 14 so 238
                        is the answer to the equation.


bullet3 Example 2

x/-23.57 = 81.93
 
Solve:  Multiply both sides of the equation by -23.57.
               -23.57(x/-23.57) = -23.57(81.93)
 
Solution:  Since -23.57/-23.57 is 1 you have 1x,
                            which is writen as just x,
                            on the right handside of the =.
                   And -23.57(81.93)  you have -1931.0901
                            on the left hand side of the =.
                   x = -1931.0901
 
Check:  Substitute -1931.0901 in for x in the original equation
                    x/-23.57 = 81.93
              -1931.0901/-23.57 = 81.93 and 81.93 = 81.93
                      so -1931.0901 is the answer to the equation.


bullet3 Example 3

x I 4/5 = 9/16
 
Solve:  Multiply both sides of the equation by 4/5.
            4/5 (x I 4/5)  = (4/5)(9/16)
 
Solution:  Since anything divided by itself  is 1 ,
                          including 4/5 I 4/5
                          you have 1x,  which is writen as just x,
                          on the right handside of the =.
                   And  (4/5)(9/16) you have 9/20
                           on the left hand side of the =.
                   x = 9/20
 
Check:  Substitute 9/20 in for x in the original equation
                      x I 4/5 = 9/16
               9/20 I 4/5 = 9/16 and  9/16 = 9/16
                      so 9/20 is the answer to the equation.


bullet3 Practice Exercises

Exercise 1:  x/22 = -8
 
Exercise 2:   x/-58.75 = 91.2
 
Exercise 3:  x I 4 7/9 = -9 3/5
 
Hit next to check your answers.


  • Solutions
    Exercise 1:  Multiply both sides by 22            
                             x = -176
     
    Exercise 2:  Multiply both sides by -58.75
                             x = -5358
     
    Exercise 3:  Multiply both sides by 4  7/9
                             x = -46 7/12