Solving One-Step Equations

Answer Sheet for Quiz
Topic Index  | Grade 5 Math | Intermediate Test Prep | StudyZone
 

Answers and Explanations for quiz. Remember to use the inverse operations.

 

Solve for y:         2y = 8

Step One: Knowing:
2y means multiply "y" by 2, and
division is the inverse operation

Step Two:  Divide both sides by 2

 2y = 8

2y/2 = 8/2

y = 4

To check:

  2y = 8
2(4) = 8
     8 = 8√   

Solve for y:      y/5 = 2

Step One: Knowing:
y/5 means divide "y" by 5, and
mulitplication is the inverse operation

Step Two:  Multiply both sides by 5
 

y/5 = 2

5(y/5) = 5(2)

y = 10

To check:

 y/5 = 2
10/5 = 2
      2=2√

Solve for y:       y - 9 = 50  

Step One: Knowing:
y - 9  means subtract 9 from  "y" , and
addition is the inverse operation

Step Two:  Add 9 to both sides
 

y - 9 = 50 

y - 9 + 9 = 50 + 9

     y = 59

To check:

  y - 9 = 50
59 - 9 = 50
     50 = 50√

Solve for y:         2.3 + y = 5.3 
 

Step One: Knowing: 
2.3y + y means add 2.3 to "y" , and
subtraction is the inverse operation

Step Two:  Subtract 2.3 from both sides
 

 2.3 + y = 5.3 

2.3 - 2.3 + y = 5.3 - 2.3

y = 3.0 or 3

To check:

2.3 + y = 5.3
2.3 + 3 = 5.3
      5.3 = 5.3√

Solve for y:        5y = 25  

Step One: Knowing:
5y means multiply "y" by 5, and
division is the inverse operation

Step Two:  Divide both sides by 5
 

5y = 25

5y/5 = 25/5

y = 5

To check:

  5y = 25
5(5) = 25
   25 = 25√

Solve for y:         60 + y = 200

Step One: Knowing:
60 + y means add 60 to "y", and
subtraction is the inverse operation

Step Two:  Subtract 60 from both sides
 

60 + y = 200

60 - 60 + y = 200 - 60

y = 140

To check:

   60 + y = 200
60 + 140 = 200
       200 = 200√

What would you like to do now?

Go back to Lesson ?

Go back to Practice 1?

Go back to Practice 2?

 
Topic Index  | Grade 5 Math | Intermediate Test Prep | StudyZone

Created by Mary Jane Cowell
Copyright © 2001-06 Oswego City School District