Transcript Concepts 1.1

Bell Work
10/8/14
Solve the inequality.
1.
x29
4.
 13  x  2
2.
x  7 1
5.
3.
x  2  6
 4.2  x  3.6
Yesterday’s Homework
1. Any questions?
2. Please pass your homework to the front.
• Make sure the correct heading is on your paper.
• Is your NAME on your paper?
• Make sure the homework is 100% complete.
• Incomplete work will NOT be accepted.
Heading
4/13/2015
3.3 Solving Inequalities by
Multiplying and Dividing
TSWBAT: solve one-step linear
inequalities using multiplication
and division.
Students solve multi-step problems, including word
problems, involving linear equations and linear
inequalities in one variable and provide
justification for each step.
Notes
• Review
4 x  28
2.
 5x  45
5 5
4
4
x  9
x7
x
x
4.  6  7  6 5.  2  9   2 
6
2
x  42
18  x
1.
3 1
3


7.    x  8   
 1 3
1 1
x  24
18  3x
3 3
6x
x
6.  4  10  4
4
x  40
3.
2 5
5


8.   8  x  
 21 5  2
40
x
2
20  x
Notes
• Rules for Solving Inequalities
1. Solve just like you would an equation.
- THERE IS ONLY ONE EXCEPTION:
If you multiply or divide
by a negative number you
MUST reverse the
inequality symbol.
Notes
Solve the inequality.
Ex.
3x  18
Isolate the variable!
3 3
x6
Do we have to flip the sign?
Now you try.
Ex.
6 x  42
6
6
xx  77
Isolate the variable!
Do we have to flip the sign?
Notes
Solve the inequality.
Ex.
4 x  20
Isolate the variable!
4 4
x  55
Do we have to flip the sign?
Now you try.
Ex.
2 x  12
Isolate the variable!
2 2
x6
Do we have to flip the sign?
Notes
Solve the inequality.
Ex.
x
 4  3  4
4
x  12
Isolate the variable!
Do we have to flip the sign?
Now you try.
Ex.
x
 5   6  5 
5
x 30
30
Isolate the variable!
Do we have to flip the sign?
Notes
Solve the inequality.
Ex.
x
 3  9  3
3
xx  27
27
Isolate the variable!
Do we have to flip the sign?
Now you try.
Ex.
x
 6  8  6
6
x  48
Isolate the variable!
Do we have to flip the sign?
Notes
Solve the inequality.
Ex.
 5  Isolate the variable!
5 3
  5 x  6  3 
1   Do we have to flip the sign?
3
30
x  10
x
3
Now you try.
Ex.
 3 2
 3
  3 x  4 
1 2
 2
12
x 
2
x  6
Isolate the variable!
Do we have to flip the sign?
Notes
Solve the inequality.
Ex.
30  6x
6
6
5  x
x  5
Isolate the variable!
Do we have to flip the sign?
Just flip it!
Now you try.
Ex.
35  5x
Isolate the variable!
5 5
7  x
Do we have to flip the sign?
Just flip it!
x  7
Notes
Solve the inequality.
Ex.
x 3
 2 2  5  2
1
6
x

5
Isolate the variable!
Do we have to flip the sign?
Now you try.
Ex.
x 2
Isolate the variable!

6



 6 6 3
Do we have to flip the sign?
1
12
x 
x


4
3
Summary
To solve an inequality involving multiplication
equation The
or division just treat it like a regular ________.
divide by a
only difference is that if you multiply or ______
symbol If the variable is
negative you must flip the _______.
________
flip the whole thing.
on the right side do not forget to ____
Ticket Out the Door
Complete the Ticket Out the Door without talking!!!!!
Talking = time after the bell!
Put your NAME on the paper.
When finished, turn your paper face DOWN.
Solve the inequality.
4 x  36
Today’s Homework
Rules for Homework
1. Pencil ONLY.
2. Must show all of your work.
• NO WORK = NO CREDIT
3. Must attempt EVERY problem.
4. Always check your answers.
Homework
Solve the inequality.
1.
4 x  16
4.
x
 3
5
7.
2
x  4
5
10.
18  3x
3.3
2.
 3x  21
5.
x
 8
6
8.
3
 x6
2
11.
24  3x
3.
 8x  32
6.
x
 10
2
9.
4
 x  8
5
12.
5
5 x
2