Slideshow 20, Mathematics Mr Richard Sasaki, Room 307

 Understand how to represent single linear equations with worded problems and solve  Be able to solve simultaneous equations with two unknowns

Solving single equations for one unknown should be no problem by now. All we need to know is how to represent them! Example Ms. Morita goes to a shop and buys three bananas. She pays with a 500 Yen coin and receives 350 Yen in change. How much did each banana cost? Try to look at what she gave equal to what she received. So each banana cost 50 Yen.

Let’s try another. Example Yui swaps three trading cards for a trading card and 70 Yen. How much is a trading card worth on average? A trading card is worth 35 Yen. Try the worksheets!

Worded expressions can also lead to simultaneous equations. Example On one day, a man buys 4 hammers and 10 screws for 1250 Yen. On another day he buys 2 hammers and 40 screws for 800 Yen. How much do the hammers and screws cost?

Then just solve the equations. ① ② 2 x ② 2 x ② - ① ① So a hammer costs 300 Yen and a screw costs 5 Yen.

Example A farmer is told that three sheep and four cows are worth 200,000 Yen. However, 8 sheep minus the value of a cow are worth Yen.

① ② 4 x ② 4 x ② + ① ① So a sheep is worth 20,000 Yen and a cow is worth 35,000 Yen. Try the worksheets!

Sweet: 20 Yen, Toy: 50 Yen Shoes: 6000 Yen, Hat 2000 Yen Beach: 5000 Yen, Tokyo: 2000 Yen Cat: 5kg Dog: 6kg Length: 12, width: 4 Impossible.