Transcript Solving Two-Step Equations - Miami Beach Senior High School

EOC Practice
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Home-Learning Assignment #4:
Review
Topic: To solve two-step equation in one variable
Name:
Date:
Chapter #, Section #: 2 – 2
Period:
Essential Question: What properties would best help me find the solution to two-step equations?
Questions / Main Ideas /
Vocabulary
Notes / Answers / Definitions / Examples / Problems
Rules to
Remember:
•When solving an equation, the goal is to get the variable by itself.
•Addition and Subtraction are inverse operations. (opposites)
•Multiplication and Division are inverse operations. (opposites)
Don’t Forget:
The equation is like a balance scale.
Whatever you do to one side of the
equation must be done to the other side of
the equation.
Examples of Two-Step Equations
a) 3x – 5 = 16
b)
+ 3 = 12
c) 5n + 4 = 6
d)
– 6 = 4
Steps for Solving
Two-Step Equations
1. Solve for any Addition or Subtraction on the
variable side of equation by “undoing” the
operation from both sides of the equation.
2. Solve any Multiplication or Division from
variable side of equation by “undoing” the
operation from both sides of the equation.
Helpful Hints?
Identify what operations are on
the variable side. (Add, Sub, Mult,
Div)
“Undo” the operation by using
opposite operations.
Whatever you do to one side, you
must do to the other side to keep
equation balanced.
Ex. 1: Solve
4x – 5 = 11
Ex. #2: Solve
28 = 12b + 4
Try These Examples
1. 2x – 5 = 17
2. 25 = 3y + 7
3. 4(-x + 5) = 68
Ex. 3: Solve
x/3 + 4 = 9
Ex. 4: Solve
7 = d/9 + 4
Try these examples!
1. x/5 – 3 = 8
2. 9 = c/7 + 4
3. r/3 – 6 = 2
Ex. 5: Solve
6
m + 8 = -4
7
Try these examples!
1.
1
-17 = 3 + x
2
2.
3
-12 = - x + 6
4
Quick Review:
• x – (- 3) = 5
• x–5=-8
• -2x = 24
• - 11 =
x–7
Wrap-Up:
• Summary
• Home-Learning Assignment #5:
Page 91 – 93
( 1, 2, 3, 4, 12, 14, 16, 29, 38, 51)
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EOC Practice
Review HLA#5:
Quiz #2
Topic: To solve multi-step equation in one variable
Name:
Date:
Chapter #, Section #: 2 – 3
Period:
Essential Question: Which properties would best help me find the solution to multi-step equations?
Questions / Main Ideas /
Vocabulary
What if you
have like terms
on the same
side of the
equation???
Notes / Answers / Definitions / Examples / Problems
15 = 2n – 3 – 4n
Don’t Forget:
-2(n – 3) + 5n = 36
What about this type of equation?
With Multi-Step Equations it can be hard to
know where to start…. pretend it’s a party!
You are the host - a.k.a. ‘X’
In what order do people leave a
party?
– Enemies (get rid of them to avoid
trouble)
– Acquaintances (after mingling with
everyone, they usually leave early)
– Friends (they hang out with the host a
little longer)
– Family (if attending, they will stay to
the end to help clean)
2x  5
7
3
Identify all the Party-goers
FRIEND
FAMILY
2x  5
7
3
The
Door!
ACQUAINTANCE
2x  5
7
3
7x + 5x – 12 = 48
7x + 5x - 12 = 48
12x - 12 = 48
+12 +12
60
12x
=
12
12
x=5
4x +6x + 20 = 80
4x +6x + 20 = 80
10x + 20 = 80
-20 -20
=
10x
60
10
10
x=6
Your Turn:
1. 8x + 6 + 3x – 2 = 37
2.
4. 29 = 5x + 21 + 3x
5.
x2
6
3
6.
x
3(  2)  6
3
9x + 5 + 4x – 2 = 42
3. 6x + 3x – x + 9 = 33
Challenge:
#1
m ∠ 1 = 30 and m ∠ 2 = 4x.
What is the value of x?
#2
37 = 3(2x – 4) + 5(x + 1)
Independent Practice:
My Score
Sheet
Equation
Solution
Points
Round 1
Round 2
Round 3
Round 4
Round 5
Wrap-Up:
• Summary
• Home-Learning Assignment #6:
Page 97 – 100
( 2, 4, 18, 24, 70)