Bell Ringer

1
Bell Ringer
2
Solving 1-Step Integer Equations

• Objective To solve one-step integer equations
  using addition, subtraction, multiplication, and
  division

3
Solve an Equation

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

4

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

5
Solving One-Step Equations

• Inverse Operation
• Operations that undo each other
• For example, addition undoes subtraction and
  subtraction undoes addition.
• Multiplication is the inverse of division

6
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.

7
Example 1 Solve m 7 11

• m 7 11

To undo the addition of 7, subtract 7 from both
sides of the equal sign.
- 7 -7
m 4
Check the solution.
m 7 11
Replace the variable with your answer.
(4) 7 11
?
11 11
8
Example 2 Solve -6 m - 4

• -6 m - 4

To undo the subtraction of 4, add 4 to both sides
of the equal sign.
4 4
-2 m
Check the solution.
-6 m - 4
Replace the variable with your answer.
-6 (-2) - 4
?
-6 -6
9
Practice

• j - 3 -12 -4 r 26

4 4
3 3
r 30
j - 9
10
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.

11
Example 3 Solve 3y 261

• 3y 261

To undo the multiplication by 3, divide 3 from
both sides of the equal sign.
3 3
y 87
Check the solution.
3y 261
Replace the variable with your answer.
3(87) 261
?
261 261
12
Example 4 Use the multiplication property of - 1
-w 42
To undo the multiplication of -1 , divide both
sides by -1.

• -1w 42

-1 is being multiplied to w
-1 -1
w -42
Check the solution.
-w 42
Replace the variable with your answer.
-(-42) 42
?
42 42
13
Practice

• -6x -36 b 12

(-4)
(-4)
-6 -6
-4
x 6
b -48
14
Practice Solve and Check

• 1. x-(-8)4 2. -5x19
• 3. x/7-12

15
Practice Solve and Check

• 4. x7-2 5. -4x6

16
Practice Solve and Check

• 6. 95x 7. -5.1x-7.25