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# 7th pre alg -l89--day1

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### 7th pre alg -l89--day1

1. 1. Lesson 89.Day1.notebook April 28, 2014 Assignment: 1-->System of equations Handout - Due Tomorrow [4/29]
2. 2. Lesson 89.Day1.notebook April 28, 2014 Lesson 89 WarmUp: 1) If value of a \$100 stock drops 10% one year, then increases 10% the next year, what is the value of the stock at that time? 2) Simplify: 2 6 15 3) Solve: x - 4 = 3x + 2 Graph the following by finding the x-intercept & y-intercept: 4) x + y = 3 5) 3x - 2y = 12
3. 3. Lesson 89.Day1.notebook April 28, 2014 Lesson 89 *Mr. Lochmann is thinking of 2 numbers... **The sum of the 2 numbers is 6... ***And one number is 10 more than the other number... WHAT ARE THE 2 NUMBERS? --We could use "guess and check", but there are several other ways!
4. 4. Lesson 89.Day1.notebook April 28, 2014 One way is to write the information as two equations **The sum of the 2 numbers is 6... Could be written as: **And one number is 10 more than the other number... Could be written as: If we use the same variables and put these 2 equations together they form a SYSTEM OF EQUATIONS. To solve them, we must find a value [ordered pair] that works in both of them.
5. 5. Lesson 89.Day1.notebook April 28, 2014 **This lesson we will do it by "Graphing"! EX--> x + y = 6 y = x + 10 X y
6. 6. Lesson 89.Day1.notebook April 28, 2014 Examples - Lesson 89 Solve each problem by graphing the system of equations and checking the solution. A) Together Julie and Emily have \$12. Emily has \$6 more than Julie. How much money does each of them have? X y
7. 7. Lesson 89.Day1.notebook April 28, 2014 B) Josh is thinking of 2 numbers. Their sum is 12. The greater number is twice the smaller number. What are the 2 numbers? X y
8. 8. Lesson 89.Day1.notebook April 28, 2014 C) Use graphing to solve this system of equations: x + y = 6 y = x X y
9. 9. Lesson 89.Day1.notebook April 28, 2014 D) Use graphing to solve this system of equations: y = x - 6 x + y = 0 X y
10. 10. Lesson 89.Day1.notebook April 28, 2014 X y E) Use graphing to solve this system of equations: y = -x + 1 y = x + 5