Use the elimination method to solve these simultaneous equations.
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Question No. 2
Use the substitution method to solve these pairs of simultaneous equations.
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Question No. 3
Two jets are flying towards each other from airports that are 1 200 km apart. One jet is flying at 250 km/h and the other jet at 350 km/h. If they took off at the same time, how long will it take for the jets to pass each other?
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Question No. 4
Ifechi bought 20 shirts at a total cost of ₦98 000. If the large shirts cost ₦5 000 and the small shirts cost ₦4 000, how many of each size did he buy?
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Question No. 5
The diagonal of a rectangle is 25 cm longer than its width. The length of the rectangle is 17 cm longer than its width. What are the dimensions of the rectangle?
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Question No. 6
The sum of 27 and 12 is equal to 73 more than an unknown number. Find the unknown number.
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Question No. 7
The ratio between the two smaller angles in a right-angled triangle is 1 : 2. What are the sizes of the two angles?
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Question No. 8
The lengths of the sides of an equilateral triangle are 3x + 1, y + 2 and 2y – x. Determine x and y.
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Question No. 9
The length of a rectangle is twice the breadth. If the area is 128 cm², determine the length and the breadth.
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Question No. 10
The sum of two consecutive odd numbers is 20 and their difference is 2. Find the two numbers.
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Question No. 11
Nesidu is 21 years older than her daughter, Daraja. The sum of their ages is 37. How old is Daraja?
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Question No. 12
Enofe is now five times as old as his son, Odiche. Seven years from now, Enofe will be three times as old as his son. Find the ages they are now.
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Question No. 13
On a bus, 42 passengers paid fares adding up to ₦5 400. There are x adults each paying ₦120 and y children each paying ₦60. How many children are on the bus?
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Question No. 14
A choir has 85 singers. There are 23 more males than females in the choir. How many singers are female?
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Question No. 15
Debara walks at 8 km/h and runs at 12 km/h. To walk to the office from his house takes him 20 minutes. Had he run twice as far, it would have taken him 27 1/2 minutes. How far is the office from his home?
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Question No. 16
Ekemma travels x km at 8 km/h and y km at 20 km/h. Her total travelling time is 3.5 hours. The total time she takes to travel (2x + 4) km at 8 km/h and 3/4 km at 20 km/h is 5 hours. Find x and y.
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Question No. 17
Ikponmwosa bought 15 kg of meat and 8 kg of fish for ₦8 800. If he had bought 8 kg of meat and 15 kg of fish, the cost would have been ₦8 300. Find the cost of 1 kg of meat and 1 kg of fish.
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Question No. 18
A two-digit number decreases by 27 when the digits are swapped around. If the tens digit is 4 times the units digit, find the original number.
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Question No. 19
The sum of two numbers is 17. The difference between twice the larger number and three times the smaller number is 4. What are the numbers?
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Question No. 20
The sides of a rectangle are 4x + 3, 3x + 1, x + 6y and 4y – x. Find x and y, and the area of the triangle.
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Question No. 21
The sides of an equilateral triangle are 2p, 5q – 2 and p + q + 5. Determine:
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Question No. 22
A two-digit number increases by 63 when the digits are swapped around. If the units digit is one less than 5 times the tens digit, find the original number.
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