1.In each of the following, write down the solution of the simultaneous equations according to the figure given. (Give your answers correct to 1 decimal place if necessary.)
(a)(b)(c)
2.Is the ordered pair (1,1) the solution of the simultaneous equations?
3.Solve the simultaneous equationsgraphically.
4.Solve the simultaneous equationsgraphically.
5.Solve the simultaneous equationsgraphically.
6.Solve the simultaneous equationsgraphically.
7.Solve the simultaneous equationsgraphically. (Give your answer correct to1 decimal place.)
8.Solve the simultaneous equationsgraphically. (Give your answer correct to 1 decimal place.)
9.Use the method of substitution to solve the following simultaneous equations.
(a)(b)(c)
10.Use the method of substitution to solve the following simultaneous equations.
(a)(b)(c)
11.Use the method of substitution to solve the following simultaneous equations.
(a)(b)(c)
12.Use the method of substitution to solve the following simultaneous equations.
(a)(b)(c)
13.Use the method of substitution to solve the following simultaneous equations.
(a)(b)(c)
14.Use the method of substitution to solve the following simultaneous equations.
(a)
(b)
(c)
15.Use the method of substitution to solve the following simultaneous equations.
(a)(b)(c)
16.Use the method of substitution to solve the following simultaneous equations.
(a)(b)(c)
17.Use the method of elimination to solve the following simultaneous equations.
(a)(b)(c)
18.Use the method of elimination to solve the following simultaneous equations.
(a)(b)(c)
19.Use the method of elimination to solve the following simultaneous equations.
(a)(b)(c)
20.Use the method of elimination to solve the following simultaneous equations.
(a)(b)(c)
21.Use the method of elimination to solve the following simultaneous equations.
(a)(b)(c)
22.Use the method of elimination to solve the following simultaneous equations.
(a)(b)(c)
23.Use the method of elimination to solve the following simultaneous equations.
(a)(b)(c)
24.Use the method of elimination to solve the following simultaneous equations.
(a)(b)(c)
25.There are 72 lions on a grassland where x of them are female and y of them are male. If the number of male lions is 18 less than that of female lions, find the number of lions of each type on the grassland.
26.The difference between the ages of Jimmy and his mother is 22. Two years later, his mother’s age will be 3 times Jimmy’s. What is the current age of Jimmy? (Let x be the current age of Jimmy and y be the current age of his mother.)
27.There are altogether 24 packets of potato chips and prawn crackers on a shelf. If the number of packets of potato chips is twice that of prawn crackers, find the respective number of packets of potato chips and prawn crackers on the shelf. (Let x be the number of packets of potato chips on the shelf and y be the number of packets of prawn crackers on the shelf.)
28.Polly pays the total fee of $1200 for6 swimming lessons and 4 piano lessons during summer holidays.If the fee of a piano lesson is 1.5 times that of a swimming lesson, what is the fee of a lesson of each type? (Let $x be the fee of a piano lesson and $y be the fee of a swimming lesson.)
29.A farm keeps some ducks and cows. Given that they have 42 heads and 120 feet altogether, find the respective number of ducks and cows in the farm.
30.A stall sold 330 copies of Star Daily News and Mango Daily News altogether in a day with the total income of $1800. If the selling prices of Star Daily News and Mango Daily News are $5 and $6 each copy respectively, how many copies of each kind of newspapers did the stall sell during that day?
31.Mrs. Lee paid $40 for 5 cartons of milk and4 packets of wafers. It is given that the selling price of a carton of milk is $3.5 higher than that of a packet of wafers. What are the respective selling prices of a carton of milk and a packet of wafers?
32.Wayne goes to work either by bus or minibus. Given that he went to work by bus in 3 days and by minibus in 2 days last week, the total fare was $56.4. This week, he went to work by bus in 2 days and by minibus in 3 days, and the total fare was $57.6. What are the respective fares of a bus trip and a minibus trip paid by Wayne?
33.A restaurant provides daily lunch set and special lunch set. It is given that the total price of 2 daily lunch sets and 3 special lunch sets is $120, and the total price of 5 daily lunch sets and 2 special lunch sets is $157. What is the price of each kind of lunch sets?
34.Harvey is going to buy an umbrella and a raincoat at $108 in a superstore. If the superstore sells the umbrellas at 20% off and the raincoats at 10% off, Harvey has to pay $90.3 only. What are the respective marked prices of an umbrella and a raincoat?
35.The total weight of Rachel and Maggie is 88kg. If the weight of Maggie isof Rachel’s, what is the weight of each of them?
36.40 employees of a company are evenly divided into 4 groups where the number of male employees in each group is 2 more than the number of female employees. How many male and female employees are there among the40 employees?
37.If, find the constants A and B.
38.Kenny and Charles work together. Kenny works 14 hours and Charles works 15 hours. They receive a total wages of $920. If the wages received by Kenny for working 6 hours are $2 less than those received by Charles for working 4 hours, what is the hourly wage of each of them?
39.In a tea company, the cost of grade A teais $120/100g and that of grade B tea is $84/100g. By blending grades A and B tea, the mixture weighs 1.8kg and costs $100/100g. By how much is the grade B tea heavier than the grade A tea in the mixture?
40.Sarah had some $2 and $5 coins. The total value of the coins was $78. If Sarah used3 $2 coins and received 3 $5 coins, the ratio of the number of $2 coins to the number of$5 coins was 7:3. How many coins of each kind did Sarah have originally?
41.The number of pencils and ballpoint pens in a box is in the ratio of 3:2. If a pencil is put into the box and a ballpoint pen is taken out from it, the ratio will become 5:3. How many pencils and ballpoint pens are there in total in the box?
4.1
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