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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.
Solving Inequalities by Multiplying and Dividing
04/19/23
Heading
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.
3.3
Notes• Review1. 4 28x
4 47x
2. 5 45x 5 5
9x
3. 18 3x 3 3 6 x
4. 76
x
42x
6 6 5. 92
x
18 x
2 2 6. 104
x
40x
4 4
17. 8
3x
24x
3
1
3
1 1
28. 8
5x
20 x
5
2
5
2
40
2x
1
• Rules for Solving Inequalities
Notes
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
Ex.
3 18x
x
Solve the inequality.
Do we have to flip the sign?
Isolate the variable!
3 36
Ex.
6 42x
x Do we have to flip the sign?
Isolate the variable!
6 67
Now you try.
6x
7x
Notes
Ex.
4 20x
x
Solve the inequality.
Do we have to flip the sign?
Isolate the variable!
4 4 5
Ex.
2 12x
x Do we have to flip the sign?
Isolate the variable!
2 2 6
Now you try.
5x
6x
Notes
Ex.
34
x
x
Solve the inequality.
Do we have to flip the sign?
Isolate the variable! 412
Now you try.
4
Ex.
65
x
x Do we have to flip the sign?
Isolate the variable! 530
5
12x
30x
Notes
Ex.
93
x
x
Solve the inequality.
Do we have to flip the sign?
Isolate the variable! 327
Now you try.
3
Ex.
86
x
x Do we have to flip the sign?
Isolate the variable! 648
6
27x
48x
Notes
Ex.3
65x
x
Solve the inequality.
Do we have to flip the sign?
Isolate the variable!5
3 30
3
Now you try.
5
3
10x
Ex.2
43x
x Do we have to flip the sign?
Isolate the variable!3
2 12
2
3
2
6x
1
1
Notes
Ex.30 6x
5
Solve the inequality.
Do we have to flip the sign?
Isolate the variable!
6 6x
Just flip it!5x
Now you try.
Ex.35 5x
7 Do we have to flip the sign?
Isolate the variable!
5 5 x
Just flip it!
7x
Notes
Ex.3
2 5
x
x
Solve the inequality.
Do we have to flip the sign?
Isolate the variable! 2
6
5
Now you try.
2
6
5x
Ex.2
6 3
x
x
Do we have to flip the sign?
Isolate the variable! 6
12
3
6
4x
1
1
Summary
To solve an inequality involving multiplication or division just treat it like a regular ________. The only difference is that if you multiply or ______ by a ________ you must flip the _______. If the variable is on the right side do not forget to ____ the whole thing.
equationdivide
negative symbolflip
Complete the Ticket Out the Door without talking!!!!!
Talking = time after the bell!
Ticket Out the Door
Put your NAME on the paper.
When finished, turn your paper face DOWN.
Solve the inequality.
4 36x
Today’s 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.
Rules for Homework