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"General Review - Formulas and Equations" PPT courseware 3
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Groups of four communicate with each other:
1. What is an equation? Please give an example.
2. What are the connections and differences between equations and equations?
3. What properties do you know about equations? Please give an example.
Special training 1: Use letters to represent numbers
1. Fill in the blanks
1. Xiaohong is m years old this year, and Teacher Chen is 3 times younger than her by 8 years. Teacher Chen’s age is ( ) years. If m=12, Teacher Chen is ( ) years old this year.
2. Build a road a kilometer long, if you build 2 kilometers every day. After repairing b days, there are ( ) kilometers left.
3. Three consecutive natural numbers, the largest one is a, then the smallest number is ( ).
4. The width of the rectangle is m meters, the length is twice the width, the perimeter of the rectangle is ( ) meters, and the area is ( ) square meters.
5. The unit price of a kind of greeting card is A yuan. Xiaoying buys 5 such greeting cards. ( ) yuan is used; Xiao Ming buys n such greeting cards and pays 10 yuan, and should get back ( ) yuan.
6. The electricity fee is 0.52 yuan per kilowatt hour and the water fee is 2 yuan per cubic meter. Xiao Ming's family used a kilowatt-hour of electricity and b cubic meters of water this month, and had to pay a total of () yuan in utility bills.
Special Training 2: Solving Equations
1. Solve the equation using your favorite method
30x=15 16+4x=40 x+0.5 x=6
2. Find the values of the following unknowns.
50%x – 30 = 52
3x + 1/2 = 5/3
X - 4/9 x = 10/21
Careful consideration
1. Xiao Ming read a book. He read 28 pages on the first day, 1/5 of the whole book on the second day, and 3/8 of the whole book in two days. How many pages are there in this book?
2. For a barrel of oil, 40% is poured out for the first time and 20 kilograms are poured out for the second time. The mass ratio of the poured oil to the remaining oil is 13:7. How many kilograms does this barrel of oil originally weigh?
3. There are 132 students in the sixth grade. The ratio of male students to female students is 6:5. How many male and female students are there in the sixth grade?
4. If a product sells for 120 yuan, you can earn 20%. If the selling price is set at 110 yuan, is it a profit or a loss? Tell us your reasons.
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