6. Using the Principles Together
Multiplication Principle
Addition Principle
Simplifying Algebraic Expressions
Algebraic Expressions
Factor

7. ALGEBRA? What is it?

8. • Variables
• Constants
• Terms
• Factors
• Coefficients

9. Like (or similar) terms

10. Combining Like terms

11. Parentheses

12. Equivalent Equations

13. The Addition Principle

14. Notation notes

22. Find the value of x!
3(2x – 4) = 4(2x+5)
6x – 12 = 8x + 20
-12 – 20 = 8x – 6x
2x = -32
x = -16

23. Count and Simplify it!
- +
x

24. Count the value of this function!
f(x) = 6x3+ - , f(3) = ?
f(3) = 6. 33+ -
= 6. 27 + -
= 162 + -
f(3) = 166

25. Find the value of x !
5(x+3) = 3(2x – 1) +6
5x + 15 = 6x – 3 +6
5x + 15 = 6x + 3
6x – 5x = 15 – 3
x = 12
x = 12

26. Find the value of x !
4x (x+3) – 4 = 3x (x + 5)
x = 4 or x = -1

27. Simplify It!
(b5 x b10 x b15)25 : b5 x b3
b748

28. Count the value of this formula!
x5 + 5x4y + 10x3y2 +10x2y3 + 5xy4 + y5
x = -4 and y =2
-32

29. Simplify it!
1

30. Count and Simplify it !
1

32. The length of a rectangular field is
7/5 its width. If the perimeter of
the field is 240 meters, how the
length and width of the field?
LENGTH = 70 METERS, WIDTH = 50 METERS
COUNT THIS:

33. One day, Baa, Beeh, Sat, and Rio go to RachMart to buy
some fruits. Baa buys one dragon fruit, two star fruits,
three snake fruits, four jack fruits, and he pays
Rp.31.750,-. Beeh buys three star fruits, five jack fruits,
four snake fruits, two dragon fruits, and he pays
Rp.43.250,-. Sat buys four jack fruits, one dragon fruit,
two star fruits, eight snake fruits, and he pays
Rp.43.000,-. Rio buys four snake fruits, ten jack fruits,
three star fruits, two dragon fruits, and he pays
Rp.63.250,-. How price of a star fruit, a jack fruit, a
dragon fruit, and a snake fruit?
ANALYZE AND COUNT IT 

34. ANSWER :
DRAGON FRUIT Rp 1.500,-
STAR FRUIT Rp 3.750,-
SNAKE FRUIT Rp 2.250,-
JACK FRUIT Rp 4.000,-

36. This presentation is
done by:
Atik Latifah
Enti Pebriani
Jeffa LVB
Rachmat SW
Revaldo
Math - A 2012