
2
1
3

1
2
3
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7 (
42
)
6
12
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2
4
5
Bell Ringer

S
1-S
I
E
Objective: To solve one-step integer equations using addition, subtraction, multiplication, and division

Solve an Equation
To find all values of a variable that make an equation true

A one-step equation is as straightforward as it sounds.
You will only need to perform one step in order to solve the equation.

Solving One-Step Equations
• Operations that “ undo ” each other
• For example, addition “ undoes ” subtraction and subtraction
“ undoes ” addition.
• Multiplication is the inverse of division

Solving Equations Using Addition or
Subtraction:
• If a number has been added to the variable, subtract that number from both sides of the equation.
• If a number has been subtracted from the variable, add that number to both sides of the equation.

Example 1: Solve m + 7 = 11
m + 7 = 11
- 7 -7
m = 4
To undo the addition of 7, subtract 7 from both sides of the equal sign.
Check the solution.
Replace the variable with your answer.
m + 7 = 11
(4) + 7 = 11
11 = 11 

Example 2: Solve -6 = m - 4
-6 = m - 4
+4 +4
To undo the subtraction of 4, add 4 to both sides of the equal sign.
-2 = m
Check the solution.
Replace the variable with your answer.
-6 = m - 4
-6 = (-2) - 4
-6 = -6 

j - 3 = -12
+3 +3 j = - 9
-4 + r = 26
+4 +4 r = 30

Solving Equations Using
Multiplication or Division
• If a variable has been multiplied by a nonzero number, divide both sides by that number.
• If a variable has been divided by a number, multiply both sides by that number.

Example 3: Solve 3y = 261
3y = 261
3 3
y = 87
To undo the multiplication by 3, divide 3 from both sides of the equal sign.
Replace the variable with your answer.
Check the solution.
3y = 261
3(87) = 261
261 = 261 

Example 4:
Use the multiplication property of - 1
-1 is being multiplied to w
Replace the variable with your answer.
-w = 42
1 w = 42
-1 -1
w = -42
To undo the multiplication of
-1 , divide both sides by -1.
Check the solution.
-w = 42
(-42) = 42
42 = 42 

-6x = -36
-6 -6
x = 6
(-4)
b = 12 (-4)
-4
b = -48

Practice: Solve and Check
• 1. x-(-8)=4 2. -5x=19
• 3. x/7=-12

Practice: Solve and Check
• 4. x+7=-2 5. -4x=6

Practice: Solve and Check
• 6. 9=5+x 7. -5.1+x=-7.25