1. vocabulary Algebra expression – numbers or letters and + - x ÷ Equation – an algebra expression that has an equal sign. Simultaneous equations – put two equations together to find x and y

2. example one. A train starts 95 miles away. Every minute it gets 5 miles further away. A train starts 63 miles away. Every minute it gets 9 miles further away. When will the trains be the same distance away? SLOPE Y INT X MEANS Y MEANS EQUATION y = 5x + 95 5 +95 minute miles SLOPE Y INT X MEANS Y MEANS EQUATION y = 9x + 63 9 +63 minute miles 5x + 95 = 9x + 63 -63 5x + 32 = 9x -5x 32 = 4x 8 minutes 8 = x

3. Classwork one. Quickly scores 21 points each game. He has scored 111 points already. Pokey scores 35 points each game. After how many more games will they have scored the same points? SLOPE Y INT X MEANS Y MEANS EQUATION He has scored 27 points already. SLOPE Y INT X MEANS Y MEANS EQUATION

4. Classwork Two

5. example two. Mr. Cheapo spent 20 dollars on lemonaid powder and cups. He sells lemonaid for one dollar a cup. Mr. Goody spent 50 dollars on lemons and sugar and cups. For how many cups will they have the same money? SLOPE Y INT X MEANS Y MEANS EQUATION He sells lemonaid for two dollars a cup. y = x - 20 1 -20 cups dollars SLOPE Y INT X MEANS Y MEANS EQUATION y = 2x - 50 2 -50 cups dollars x - 20 = 2x - 50 +50 x + 30 = 2x -x x = 30 y = x - 20 y = 30 - 20 y = 10 dollars 30 cups

6. Classwork Three. Buffy owes 680 dollars on her credit card. She is paying off 40 dollars each month. Muffy owes 428 dollars on her credit card. After how many months will the dollars owed be the same? SLOPE Y INT X MEANS Y MEANS EQUATION She is paying off 26 dollars each month. SLOPE Y INT X MEANS Y MEANS EQUATION

7. Classwork Four

8. Classwork Five Munchy has 186 cheese puffs in his bag. He is eating 2 puffs each second. Smokey has 241 puffs in his bag. After how many seconds will they have the same number of puffs In their bags? SLOPE Y INT X MEANS Y MEANS EQUATION He is eating 3 puffs each second. SLOPE Y INT X MEANS Y MEANS EQUATION