Transcript Solving one step equations

Agenda October 15
Warm Up
 Go Over Homework
 Solving One Step Equations
Review
 Homework

Warm Up
To simplify an expression using the order of
operations, complete the following:
1. Simplify brackets or _____________ first.
2. Simplify any _____ _____ or _________ next.
3. Complete any _________ or __________
whichever comes first left to right.
4. Complete any addition or ___________ whichever
comes first ____ to _____.
2
4
5. Simplify:
3
2  [ 81  5(8)  2] 
1
4
Go Over Homework
Pizzazz page 10
She|was|practicing|for|a|moon|shot
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Pizzazz page 20
When|your|nose|runs|and|your|feet|smell
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Solving one step equations
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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)
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
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……..
Addition / Subtraction

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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.
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!!)
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!!)
Solving with Division
Solve the following equation for m:
3m =
18
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Divide both sides by 3 and simplify -- your work should
look like this
:
3m =
3
m =
18
3
6
(you WILL show this step in your homework!!)
Solving with Multiplication
Problems involving fractions are solved using
multiplication, and the knowledge of multiplicative
inverses (reciprocals)
Example :
Solve the following equation for n:
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2n
=
3
5
7
Multiply each side by the inverse of 25 :
5 • 2n
2
5
=
n
=
3 • 5
7
2
15
14
Your Turn:
Solve the following equations
with one step (show your
work!!):
1.
r + 4 = 17
2.
g - 15 = -11
3.
13 + p = - 9
4.
-5b = 85
5.
- 7v = - 91
6.
w = -2
3
9
Answers:
1.
2.
3.
4.
5.
6.
r = 13
g = 4
p = - 22
b = - 17
v = 13
w = - 2/3
Homework:
Finish one step equation riddle worksheets:
(Pizzazz pages 28, 30, 31, 33)
You MUST show your work to get credit
on this assignment!!!
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Worktext page 22
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Worktext page 28
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