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






Your friend’s mountain bike cost $245 more
than his skateboard. His mountain bike cost
$290. How much did your friend’s skateboard
cost?
Write an equation and solve
Log into your chrome book
Go to:
◦ http://lcmath7.blogspot.com/



Click on your hour and post your thoughts…


Adding and Subtracting Integers



Properties of addition



Multiplying and Dividing Integers



Solving one-step equations with addition
and subtracting


Discuss…
◦ What is the goal when solving equations?
◦ What are the steps to solve this problem?
◦ What allows me to do those steps?
 Properties?
 Concepts?


Students will learn to…
◦ Solve one-step equations with multiplication and
division.


Integer Operations Assessment
◦ Thursday
◦ Friday


Inverse operation



Isolate the variable



Multiplication Property of Equality
◦ If you multiply each side of an equation by the
same number, the two sides remain equal.



Division Property of Equality
◦ If you divide each side of an equation by the
same nonzero number, the two sides remain
equal.


4x = 32

Goal: Isolate the
variable
Question: How can I
get the variable by
itself?

Think… What is the inverse operation of
multiplication
or
Think… What is the opposite of multiplying by
4?


4x = 32
4
4
x=8

Goal: Isolate the
variable
Question: How can I
get the variable by
itself?

Think… What is the inverse operation of
multiplication
or
Think… What is the opposite of multiplying by
4?


10x = 150

How did you get your answer?
Describe what you were thinking...
What was difficult about that concept?


10x = 150
10
10
x = 15

How did you get your answer?
Describe what you were thinking...
What was difficult about that concept?
Goal: Isolate the
variable



Question: How can
get the variable by
itself?

How did you get your answer?
Describe what you were thinking...
What was difficult about that concept?
Goal: Isolate the
variable



Question: How can
get the variable by
itself?

How did you get your answer?
Describe what you were thinking...
What was difficult about that concept?
Goal: Isolate the
variable
Multiply both sides by
3



How did you get your answer?
Describe what you were thinking...
What was difficult about that concept?


Can you solve one-step equations w/
multiplication and division????


pg. 356 #3-6, 24, 26

Solve one-step
equations w/

multiplication
and division.


http://lcmath7.blogspot.com/



Click on exit ticket


A number multiplied by three is 27.



A number divided by eight is two.



A number tripled and increased by ten is 22.






Adding and subtracting Integers
Multiplying and dividing Integers
Properties of Addition
Properties of Multiplication
Solving one-step equations


Students will learn to…
◦ Solve 2-step equations.


Discuss…
◦ What operations are involved in this problem?
◦ How many terms?
◦ In order of operations, what do we do first?

Solve 2 step
equations.
Without guess and check,
what steps are used to solve
this equation?

Goal: Isolate the
variable
Question: How
can I get the
variable by itself?

How is this process related to the order of
operations?
x=4


Order of Operations – backwards
◦ 1) Combine like terms
◦ 2) Undo addition or subtraction
◦ 3) Undo multiplication or division



Like terms: 3x + 5 + 5 = 22


Simplify by combining like terms
◦ 5x + 12 + (-9) = 8
◦ 5x + 3 = 8



Undo addition or subtraction
◦ 5x + 3 = 8
◦
- 3 = -3
◦ 5x = 5



Undo multiplication or division
◦ 5x = 5
◦ 5
5
◦ x=1


Simplify by combining like terms
◦ 2x + x + 10 = 25
◦ 3x + 10 = 25



Undo addition or subtraction
◦ 3x + 10 = 25
◦
- 10 = -10
◦ 3x = 15



Undo multiplication or division
◦ 3x = 15
◦ 3
3
◦ x=5



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Solving equations with multiplication and division web

  • 1.
  • 2.     Your friend’s mountain bike cost $245 more than his skateboard. His mountain bike cost $290. How much did your friend’s skateboard cost? Write an equation and solve Log into your chrome book Go to: ◦ http://lcmath7.blogspot.com/  Click on your hour and post your thoughts…
  • 3.  Adding and Subtracting Integers  Properties of addition  Multiplying and Dividing Integers  Solving one-step equations with addition and subtracting
  • 4.  Discuss… ◦ What is the goal when solving equations? ◦ What are the steps to solve this problem? ◦ What allows me to do those steps?  Properties?  Concepts?
  • 5.  Students will learn to… ◦ Solve one-step equations with multiplication and division.
  • 7.  Inverse operation  Isolate the variable  Multiplication Property of Equality ◦ If you multiply each side of an equation by the same number, the two sides remain equal.  Division Property of Equality ◦ If you divide each side of an equation by the same nonzero number, the two sides remain equal.
  • 8.  4x = 32 Goal: Isolate the variable Question: How can I get the variable by itself? Think… What is the inverse operation of multiplication or Think… What is the opposite of multiplying by 4?
  • 9.  4x = 32 4 4 x=8 Goal: Isolate the variable Question: How can I get the variable by itself? Think… What is the inverse operation of multiplication or Think… What is the opposite of multiplying by 4?
  • 10.  10x = 150 How did you get your answer? Describe what you were thinking... What was difficult about that concept?
  • 11.  10x = 150 10 10 x = 15 How did you get your answer? Describe what you were thinking... What was difficult about that concept?
  • 12. Goal: Isolate the variable  Question: How can get the variable by itself? How did you get your answer? Describe what you were thinking... What was difficult about that concept?
  • 13. Goal: Isolate the variable  Question: How can get the variable by itself? How did you get your answer? Describe what you were thinking... What was difficult about that concept?
  • 14. Goal: Isolate the variable Multiply both sides by 3  How did you get your answer? Describe what you were thinking... What was difficult about that concept?
  • 15.  Can you solve one-step equations w/ multiplication and division????
  • 16.  pg. 356 #3-6, 24, 26 Solve one-step equations w/ multiplication and division.
  • 18.  A number multiplied by three is 27.  A number divided by eight is two.  A number tripled and increased by ten is 22.
  • 19.      Adding and subtracting Integers Multiplying and dividing Integers Properties of Addition Properties of Multiplication Solving one-step equations
  • 20.
  • 21.  Students will learn to… ◦ Solve 2-step equations.
  • 22.  Discuss… ◦ What operations are involved in this problem? ◦ How many terms? ◦ In order of operations, what do we do first? Solve 2 step equations.
  • 23. Without guess and check, what steps are used to solve this equation? Goal: Isolate the variable Question: How can I get the variable by itself? How is this process related to the order of operations? x=4
  • 24.  Order of Operations – backwards ◦ 1) Combine like terms ◦ 2) Undo addition or subtraction ◦ 3) Undo multiplication or division  Like terms: 3x + 5 + 5 = 22
  • 25.  Simplify by combining like terms ◦ 5x + 12 + (-9) = 8 ◦ 5x + 3 = 8  Undo addition or subtraction ◦ 5x + 3 = 8 ◦ - 3 = -3 ◦ 5x = 5  Undo multiplication or division ◦ 5x = 5 ◦ 5 5 ◦ x=1
  • 26.  Simplify by combining like terms ◦ 2x + x + 10 = 25 ◦ 3x + 10 = 25  Undo addition or subtraction ◦ 3x + 10 = 25 ◦ - 10 = -10 ◦ 3x = 15  Undo multiplication or division ◦ 3x = 15 ◦ 3 3 ◦ x=5
  • 27.
  • 28.
  • 29.