Download Concepts 1.1

Bell Work
11/4/14
Solve for the indicated variable.
1.
5a  2  7b for a
2.
3a  8
 5 for a
b
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
5/24/2017
2.7 Solving Absolute-Value
Equations
TSWBAT: solve equations that involve
absolute value symbols.
Students solve equations and
inequalities involving absolute values.
Notes
• Absolute Value x
= The distance the point is from zero.
Ex.
What is the absolute value of 2?
2
• ALWAYS positive.
• NEVER negative.
Find the absolute value.
Ex.
Ex.
7
7
How far is 2
from 0?
What is 2 ?
2
2
2
Now you try.
9
9
Ex.
 13
 13
Ex.
79
 79
Notes
Find the absolute value.
Ex.
Ex.
What two numbers
x 5
x 9
are 5 away from zero!
x 5
x  5
x  5, 5
x 9
x  9
x  9, 9
Now you try.
Ex.
x 1
x 1
x  1
x  1, 1
Ex.
x  2
x  No Solution
Notes
Solve the equation.
Ex.
x2 5
x  2  5 x  2  5
2 2
2 2
x 3
x  7
x  7, 3
Now you try.
Ex.
4 x  20
4x  20
4 4
x 5
4 x  20
4
4
x  5
x  5, 5
Notes
Solve the equation.
Ex.
3x  9  6
Now you try.
Ex.
 2x  6  2
3x  9  6
3x  9  6 2x  6  2 2x  6  2
9 9
9 9
6 6
6 6
3x  3
3x  15
2x  8
2 x  4
3
3
3
3
2 2
2 2
x  1
x  5
x  2
x  4
x  5,  1
x  4,  2
Notes
Solve the equation.
Ex.
x 47
4 4
x 3
x 3
x  3
x  3, 3
Now you try.
Ex.
x 9  4
9 9
x 5
x 5
x  5
x  5, 5
Notes
Solve the equation.
Ex.
x  6  7  11
7 7
x6  4
x6  4
6 6
x  2
x  6  4
6 6
x  10
x  10,  2
Now you try.
Ex.
3x  2  14
2 2
3x  12
3x  12
3 3
x4
3x  12
3
3
x  4
x  4, 4
Notes
Solve the equation.
Ex.
3 2 x  8 15  3
 15  15
3 2 x  8  18
3
3
2x  8  6
2x  8  6
8 8
2x  14
2 2
x7
2x  8  6
8 8
2x  2
2 2
x 1
x  1, 7
Notes
Now you try.
Solve the equation.
Ex.
2 3x  5  8  6
8 8
2 3x  5  14
2
2
3x  5  7
3x  5  7
5 5
3x  12
3 3
x4
3x  5  7
5 5
3x  2
3
3
x   23
2
x , 4
3
Summary
value
To solve equations involving absolute ______
bars first make sure that the absolute value bars are
isolated to one side. Next _______
branch off into two
________
problems, one set to the original positive number and
equations
negative Finally solve both _________
one set to the ________.
separately.
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
2.7
Solve the equation.
1.
x 7
2.
x  3
3.
x4 9
4.
7 x  21
5.
3x  12  6
6.
4x  8  4
7.
x  5  11
8.
x  4 3  2
9.
3x  6  2  11
10.
5 2 x  8 12  8
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 equation.
2x  8  4