Transcript Monday, February 7th

Monday, February 7th
Bell Ringer: Solve for x in all of
the equations below
x 5  7
16  2x
Let’s Review
x 5  7
16  2x
News and Notes
Concept Quiz this week: Thursday
Binder Checks: Tuesday
238 All Stars of the Week
How you get it
–
–
–
–
–
Hard work
Good Behavior
MASTERY!!!!!!
Help classmates
Overall just raise the bar
When we will give it out
– Every week
This Week’s All Star
Today
• Objective: I CAN solve two step
equations
• HW: Finish the back of the sheet
Also
• If you are having trouble with the HW
• Go to mrobyrne.com
There are video links for each day
Definitions
• Equation: Mathematical sentence
ex:
x+5=10
“x plus five equals 10”
• Solution of an equation: A value that
makes the sentence true
Solving Two-Step Equations
• We need to isolate the variable
• To do that we work BACKWARDS
undoing each operation using INVERSE
operations
• Inverse operations means Opposite
operations
Inverse Operations
Operation
Addition
Subtraction
Multiplication
Division
Inverse
(opposite)
Inverse Operations
Operation
Addition
Subtraction
Multiplication
Division
Inverse
(opposite)
Subtraction
Inverse Operations
Operation
Addition
Inverse
(opposite)
Subtraction
Subtraction
Addition
Multiplication
Division
Inverse Operations
Operation
Addition
Inverse
(opposite)
Subtraction
Subtraction
Addition
Multiplication Division
Division
Inverse Operations
Operation
Addition
Inverse
(opposite)
Subtraction
Subtraction
Addition
Multiplication Division
Division
Multiplication
Example #1
Solve for x:
3
x 7 1
4
Do
Undo
Example #1
Solve for x:
3
x 7 1
4
Do
Mult. By 3/4
Undo
Example #1
Solve for x:
3
x  7  1
4
Do
Undo
Mult. By 3/4
Sub. 7
NOW WORK
BACKWARDS!!!!
Example #1
Solve for x:
3
x  7  1
4
7 7
3
x6
4
Do
Undo
Mult. By 3/4
Sub. 7
Add 7
NOW WORK
BACKWARDS!!!!
Solve for x:
Example #1
3
x  7  1
4
7 7
3
x6
4
3
3
4
4
x 8
Do
Undo
Mult. By 3/4 Div by 3/4
Sub. 7
Add 7
NOW WORK
BACKWARDS!!!!
Solve for x:
Example #1
CHECK!!!!!!!!!!!!!
3
x  7  1
4
7 7
3
x6
4
3
3
4
4
x 8
3
x  7  1
4
3
(8)  7  1
4
6  7  1
 1  1
Example #2
Solve for x:
y  12
 10
4
Do
Undo
Example #2
Solve for x:
y  12
 10
4
Do
Sub. 12
Undo
Example #2
Solve for x:
y  12
 10
4
Do
Undo
Sub. 12
Div by 4
NOW WORK
BACKWARDS!!!!
Example #2
Solve for x:
4
y  12
 10  4
4
y  12  40
Do
Undo
Sub. 12
Div by 4
Mult. By 4
NOW WORK
BACKWARDS!!!!
Example #2
Solve for x:
4
y  12
 10  4
4
y  12  40
 12  12
y  28
Do
Undo
Sub. 12
Add 4
Div by 4
Mult. By 4
NOW WORK
BACKWARDS!!!!
Example #2
Solve for x:
4
y  12
 10  4
4
y  12  40
 12  12
y  28
CHECK!!!!!!!!!!!!!
y  12
 10
4
 28  12
 10
4
 40
 10
4
10  10
Take five minutes: try 4
 63  7 g  14
5 x
1 
6
r
4
5
20
3
d  8  10
2
Now – Check you answers
Write the number you got right in the box
IF:
0 - 1 right – you go to the right side of the room
2 – 3 right – you go to the center of the room
All 4 right – you go to the left side of the room
You move on when
• Your answers match that of 3 others
people in your group
Right Side Problems
15  4a  5
9a  7  25
d
 7  12
4
y
3  4
5
Center Problems
n5
 1
 16
3 d
 10
4
3
x  1  13
2
p
9
4
Right Problems
17  s
 10
4
9z  4
 8  5.4
5
 3 j  ( 4)
 12
6
a  7000
29
2000
Exit Slip
Solve for each variable
n2
3
6
2
x 1  4
5