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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

Solving 1-Step Integer Equations

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

solve an equation
Solve an Equation
  • To find all values of a variable that make an equation true
slide4

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
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
solving equations using addition or subtraction
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
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

example 2 solve 6 m 4
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

practice
Practice

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

+4 +4

+3 +3

r = 30

j = - 9

solving equations using multiplication or division
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.
slide11

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

slide12

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

Replace the variable with your answer.

-(-42) = 42

42= 42

practice1
Practice

-6x = -36 b = 12

(-4)

(-4)

-6 -6

-4

x = 6

b = -48

practice solve and check
Practice: Solve and Check
  • 1. x-(-8)=4 2. -5x=19
  • 3. x/7=-12
practice solve and check1
Practice: Solve and Check
  • 4. x+7=-2 5. -4x=6
practice solve and check2
Practice: Solve and Check
  • 6. 9=5+x 7. -5.1+x=-7.25