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Intro MMaatthh UUnniitt 66~~LLeessssoonn 11
 To solve an equation, get the variable 
by itself on one side of the equation. 
 “Undo” what is being done to the 
variable with inverse operations. 
 Addition and subtraction are inverse 
operations (opposites). 
 Multiplication and division are inverse 
operations (opposites).
Your equal sign will be the 
fulcrum (balancing point)! 
Remember, whatever you do 
to one side must be done to 
the other side to maintain 
balance.
 If the number to move is positive, subtract it 
from both sides of the equation. 
 If the number to move is negative, add its 
positive value to both sides of the equation.
Solve the following equation for x: 
x – 4 = 9 
+ 4 +4 
x = 13 
We can get the x by itself by undoing the MINUS 
4 with a PLUS 4 on each side!
Solve the following equation for p: 
p + 7 = 21 
- 7 - 7 
p = 14 
We can get the p by itself by undoing 
the PLUS 7 with a MINUS 7 on each side!
Solve the following equation for m: 
3 m = 18 
Undo the TIMES 3 with a DIVIDE by 3 
3 m = 18 
3 3 
m = 6
Solve the following equation for n: 
n/5 = 3 
Undo the DIVIDE by 5 with a TIMES 5. 
5 • n/5 = 3 • 5 
n = 15
Solve the following equations with one 
step. Show your work! 
1. r + 4 = 17 
2. g - 15 = 10 
3. 13 + p = 18 
4. 7v = 49 
5. w/3 = 2
1. r = 13 
2. g = 25 
3. p = 5 
4. v = 7 
5. w = 6

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Solving 1 step equations

  • 1. Intro MMaatthh UUnniitt 66~~LLeessssoonn 11
  • 2.  To solve an equation, get the variable by itself on one side of the equation.  “Undo” what is being done to the variable with inverse operations.  Addition and subtraction are inverse operations (opposites).  Multiplication and division are inverse operations (opposites).
  • 3. Your equal sign will be the fulcrum (balancing point)! Remember, whatever you do to one side must be done to the other side to maintain balance.
  • 4.  If the number to move is positive, subtract it from both sides of the equation.  If the number to move is negative, add its positive value to both sides of the equation.
  • 5. Solve the following equation for x: x – 4 = 9 + 4 +4 x = 13 We can get the x by itself by undoing the MINUS 4 with a PLUS 4 on each side!
  • 6. Solve the following equation for p: p + 7 = 21 - 7 - 7 p = 14 We can get the p by itself by undoing the PLUS 7 with a MINUS 7 on each side!
  • 7. Solve the following equation for m: 3 m = 18 Undo the TIMES 3 with a DIVIDE by 3 3 m = 18 3 3 m = 6
  • 8. Solve the following equation for n: n/5 = 3 Undo the DIVIDE by 5 with a TIMES 5. 5 • n/5 = 3 • 5 n = 15
  • 9. Solve the following equations with one step. Show your work! 1. r + 4 = 17 2. g - 15 = 10 3. 13 + p = 18 4. 7v = 49 5. w/3 = 2
  • 10. 1. r = 13 2. g = 25 3. p = 5 4. v = 7 5. w = 6