1. Chapters 6 & 7

2.  Graphing Graphing  Substitution Substitution  Linear Combinations Linear Combinations  Multiple Choice Questions Multiple Choice Questions  Word Problems Word Problems

3.  Multiplication Properties Multiplication Properties  Zero Property Zero Property  Negative Exponent Property Negative Exponent Property  Division Properties Division Properties  Scientific Notation Scientific Notation  Exponential Growth Exponential Growth  Exponential Decay Exponential Decay

4. y = 3x + 4 2x + y = 9 y = 3x + 4 m = 3 b = 4 2x + y = 9 -2x y = -2x + 9 m = -2 b = 9 (1, 7) The solution is (1,7)

5. -2x + 2y = 2 2x + y = -2 2x + y = -2 -2x y = -2 – 2x y = -2 – 2* -1 y = 0 Answer: (-1, 0) -2x + 2y = 2 -2x + 2(-2 – 2x) = 2 -2x – 4 – 4x = 2 -6x – 4 = 2 +4 +4 - 6x = 6 -6 -6 x = -1

6. 3 ( ) -2( ) 2x + 5y = 5 3x + 2y = -9 2x + 5y = 5 2x + 5 * 3 = 5 2x + 15 = 5 - 15 -15 2x = -10 2 2 x = -5 6x + 15y = 15 -6x – 4y = 18 11y = 33 11 11 y = 3 (-5, 3)

7. Solve the system: 3x + 2y = 4 -x + 3y = -5 a. (4, -4) b. (2, -1)c. (3,1) PLUG IN THE OPTIONS!!

8. You want to burn 380 calories during 40 minutes of exercise. You burn about 8 calories per minute inline skating and 12 calories per minute swimming. How long should you spend doing each activity? x = inline skating y = swimming Calories: 8x + 12y = 380 Minutes: x + y = 40

9. To multiply powers with the same base, you ADD the exponents.

10. To find a power of a power, you MULTIPLY the exponents.

11. To find a power of a product, you DISTRIBUTE the exponent.

12. = 1 Any nonzero number to the zero power is ONE!

13. = = = = Any nonzero number raised to a negative exponent creates a FRACTION!

14. To divide powers with the same base, you SUBTRACT the exponents.

15. To find the power of a quotient, you DISTRIBUTE the exponent to all parts of the problem.

16. Write each number in scientific notation. 1. 24,000,000 2. 36,400 3. 0.00035 4. 0.002 5. 4,502,000,000  2.4 x 10 7  3.64 x 10 4  3.5 x 10 -4  2 x 10 -3  4.502 x 10 9

17. y = C(1+r) t  C is the beginning amount  r is the rate (%)  t is the time  y is the ending amount (what you are looking for)

18. A company has 50 employees in 2000. The number of employees increases by 50% each year. How many employees are there in 2004? C = 50 r = 50% = 0.50 t = 4 y = ??? 253 employees

19. y = C(1-r) t  C is the beginning amount  r is the rate (%)  t is the time  y is the ending amount (what you are looking for)

20. You buy a used car for $18,000. The value of the car depreciates at a rate of 12% per year. What is the value of the car in 8 years? C = 18,000 r = 12% = 0.12 t = 8 y = ??? $6473.42

21.  Worksheet – “Chapters 6 & 7 Review”

22.  Page 386 #2,3,7,8  Page 455 #1-6,18-21,31,32