Agenda October 15

1
Agenda October 15

• Warm Up
• Go Over Homework
• Solving One Step Equations Review
• Homework

2
Warm Up

• To simplify an expression using the order of
  operations, complete the following
• Simplify brackets or _____________ first.
• Simplify any _____ _____ or _________ next.
• Complete any _________ or __________ whichever
  comes first left to right.
• Complete any addition or ___________ whichever
  comes first ____ to _____.
• Simplify

3
Go Over Homework

• Pizzazz page 10
• Shewaspracticingforamoonshot
• Pizzazz page 20
• Whenyournoserunsandyourfeetsmell

4
Solving one step equations

• When solving an equation, the goal is to get the
  variable by itself on one side of the equation.
• Addition and subtraction are inverse operations.
  (opposites)
• Multiplication and division are inverse
  operations. (opposites)

5
Properties of Equality

• 1. Addition If a b then a c b c.
• 2. Subtraction If a b then a c b c.
• 3. Multiplication If a b then ac bc.
• 4. Division If a b and c ? 0 then a/c b/c

6
Solving Equations Requires BALANCE!

• Your equals sign will be the fulcrum (balancing
  point)!
• Just remember, whatever you do to one side must
  be done to the other side to maintain balance..

7
Addition / Subtraction

• 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.

8
Solving with Addition

• Solve the following equation for x
• x 4 9
• 4 4
• x 13
• We are able to get the x by itself
• by ADDING 4 to each side!
• (you WILL show this step in your homework!!)

9
Solving with Subtraction

• Solve the following equation for p
• p 7 21
• - 7 - 7
• p 14
• We are able to get the p by itself
• by SUBTRACTING 7 from each side!
• (you WILL show this step in your homework!!)

10
Solving with Division

• Solve the following equation
  for m
• 3 m 18
• Divide both sides by 3 and simplify -- your work
  should look like this
• 3 m 18
• 3
  3
• m 6
• (you WILL show this step in your homework!!)

11
Solving with Multiplication

• Problems involving fractions are solved using
  multiplication, and the knowledge of
  multiplicative inverses (reciprocals)

12
Example

• Solve the following equation for n
• 2n 3
• 5 7
• Multiply each side by the inverse of 25
• 5 2n
  3 5
• 2 5 7 2
• n 15
• 
  14

13
Your Turn

• Solve the following equations with one step (show
  your work!!)
• r 4 17
• g - 15 -11
• 13 p - 9
• -5b 85
• - 7v - 91
• w -2
• 3 9

14
Answers

• r 13
• g 4
• p - 22
• b - 17
• v 13
• w - 2/3

15
Homework

• Finish one step equation riddle worksheets
• (Pizzazz pages 28, 30, 31, 33)
• You MUST show your work to get credit on this
  assignment!!!

16

• Worktext page 22
• Worktext page 28
• 23,29