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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. A train starts 95 miles away. A train starts 63 miles away.
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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
A train starts 95 miles away. A train starts 63 miles away. Every minute it gets 5 miles further away. When will the trains be the same distance away? Every minute it gets 9 miles further away. 9 example one. 5 slope X means slope X means minute minute +63 +95 Y int Y means Y int Y means miles miles equation y = 9x + 63 equation y = 5x + 95 5x + 95 = 9x + 63 -63 -63 5x + 32 = 9x 8 minutes -5x -5x 32 = 4x 8 = x
Quickly scores 21 points each game. Pokey scores 35 points each game. After how many more games will they have scored the same points? He has scored 111 points already. He has scored 27 points already. Classwork one. slope X means slope X means Y int Y means Y int Y means equation equation
Mr. Cheapo spent 20 dollars on lemonaid powder and cups. Mr. Goody spent 50 dollars on lemons and sugar and cups. For how many cups will they have the same money? He sells lemonaid for one dollar a cup. He sells lemonaid for two dollars a cup. example two. 2 cups 1 cups slope X means slope X means -50 -20 Y int Y means Y int Y means dollars dollars equation y = 2x - 50 equation y = x - 20 y = x - 20 x - 20 = 2x - 50 +50 +50 y = 30 - 20 x + 30 = 2x 30 cups -x -x y = 10 dollars x = 30
Buffy owes 680 dollars on her credit card. Muffy owes 428 dollars on her credit card. After how many months will the dollars owed be the same? She is paying off 40 dollars each month. She is paying off 26 dollars each month. Classwork Three. slope X means slope X means Y int Y means Y int Y means equation equation
Munchy has 186 cheese puffs in his bag. Smokey has 241 puffs in his bag. After how many seconds will they have the same number of puffs In their bags? He is eating 2 puffs each second. He is eating 3 puffs each second. Classwork Five slope X means slope X means Y int Y means Y int Y means equation equation