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
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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????
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