Transcript 2.) 12.4 – 3.64x = 1.48 We multiply both sides of the equation by a

Board Problems
8/5/05
Simplify! 
1. 4 4
2.  4 4
3. (4) 4
4.  6  3(3  7) 2
5. 16  2  35  5
6. 7 x 2  12 x  x 2  40 x
7. x 4  3 y when x  2 and y  8
Agenda
 Warm-Up
 New
seats (hopefully)
 Notes 1.3
 Homework
The Essential 55
by Ron Clark
 Rule # 5: If you win or do well at something, do not
brag. If you lose, do not show anger.
Instead, say something like, “I really enjoyed the
competition, and I look forward to playing you
again,” or “Good game,” or don’t say anything at all.
To show anger or sarcasm, such as “I wasn’t playing
hard anyway. You really aren’t that good,” shows
weakness.
Notes 1.3
Solving Linear Equations
Page 19
Turn to page 19
 Read the green box “Transforming that
produces equivalent Equations”
 Addition property
 Subtraction property
 Multiplication property
 Division property
Solve.
3
1 3
1.) x  
4
2 2
1 3
3
4 x   
2 2
4
3x  2  6
3x  4
4
x
3
To eliminate the
fractions, multiply both
sides by the LCD.
Use the distributive
property.
Solve.
2.) 12.4 – 3.64x = 1.48
100(12.4 – 3.64x = 1.48)
1240 – 364x = 148
-364x = -1092
1092
x
3
364
We multiply
both sides of the
equation by a
power of ten.
Solve.
3.) 3(7 – 2x) = 14 – 8(x – 1)
21 – 6x = 14 – 8x + 8
21 – 6x = 22 – 8x
2x = 1
x = 1/2
distribute
Combine like
terms
2
4. x  8  16
9
5. 12n  3  4n  21
6. 5( x  2)  4( 2 x  7)  x
2
1
3
7. x   2 x 
3
5
10
2 5
1
8.
1.)
 y
3 6
3
You try! 
y = 2/5
9.
2.)
6.3 x  9.6  3
x=2
3.)
3( y  1)  1  2  5( y  5)
.
y = -19/8
Math in the real world!
Real Estate: A real estate broker’s base salary is
$18,000. She earns a 4% commission on total
sales. How much must she sell to earn $55,000?
Total
Income
=
Base
Salary
Total Income=
Base Salary=
Commis. Rate=
Total Sales=
+
Commis.
*
rate
Total
Sales
Writing and Using a Geometric Formula:
You have a 3 inch by 5 inch photo that you want to enlarge,
mat, and frame. You want the width of the mat to be
2 inches on all sides. You want the perimeter of the
framed photo to be 44 inches. By what percent should
you enlarge the photo?