Bell Ringer

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Bell Ringer. Solving 1-Step Integer Equations. 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.

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Solving 1-Step Integer Equations

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
• Inverse Operation
• Operations that “undo” each other
• Multiplication is the inverse of division
Solving Equations Using Addition or Subtraction:
• If a number has been addedto 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

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

(4) + 7 = 11

11= 11

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

-6 = (-2) - 4

-6 = -6

Practice

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

+4 +4

+3 +3

r = 30

j = - 9

Solving Equations Using Multiplication or Division
• If a variable has been multipliedby 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

To undo the multiplication by 3, divide 3 from both sides of the equal sign.

3 3

y = 87

Check the solution.

3y = 261

3(87) = 261

261= 261

Example 4:

Use the multiplication property of - 1

-w = 42

-1w = 42

To undo the multiplication of

-1 , divide both sides by -1.

-1 is being multiplied to w

-1 -1

w = -42

Check the solution.

-w = 42

-(-42) = 42

42= 42

Practice

-6x = -36 b = 12

(-4)

(-4)

-6 -6

-4

x = 6

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