Model real situations with two equations and solve
9th grade (Year 10 in England) · 16 questions · Common Core: HSA.CED.A.3, HSA.REI.C.6 · England: GCSE Higher Algebra
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Score/ 16
Question 1
Gym A costs 20 plus 5 per visit. Gym B costs 14 plus 7 per visit. After how many visits do they cost the same?
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Question 2
The sum of two numbers is 36 and their difference is 8. What is the larger number?
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Question 3
Luis buys 3 notebooks and 2 pens for $2.90. A friend buys 2 notebooks and 5 pens for $5.05. How much is one pen? Give the amount as a number.
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Question 4
Gym A costs 25 plus 6 per visit. Gym B costs 17 plus 10 per visit. After how many visits do they cost the same?
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Question 5
The sum of two numbers is 73 and their difference is 7. What is the larger number?
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Question 6
Kofi buys 3 notebooks and 2 pens for $3.35. A friend buys 2 notebooks and 5 pens for $4.25. How much is one pen? Give the amount as a number.
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Question 7
Bike hire A charges $3 plus $1.50 per hour. Bike hire B charges $8 plus $0.50 per hour. After how many hours do they cost the same?
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Question 8
The sum of two numbers is 59 and their difference is 13. What is the larger number?
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Question 9
Ravi buys 3 notebooks and 2 pens for $5.30. A friend buys 2 notebooks and 5 pens for $5. How much is one pen? Give the amount as a number.
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Question 10
Bike hire A charges $1.50 plus $3 per hour. Bike hire B charges $4.50 plus $2.50 per hour. After how many hours do they cost the same?
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Question 11
The sum of two numbers is 89 and their difference is 17. What is the larger number?
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Question 12
Ravi buys 3 notebooks and 2 pens for $4.50. A friend buys 2 notebooks and 5 pens for $5.20. How much is one pen? Give the amount as a number.
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Question 13
Gym A costs 35 plus 4 per visit. Gym B costs 15 plus 8 per visit. After how many visits do they cost the same?
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Question 14
The sum of two numbers is 30 and their difference is 16. What is the larger number?
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Question 15
Fatima buys 3 notebooks and 2 pens for $3.60. A friend buys 2 notebooks and 5 pens for $3.50. How much is one pen? Give the amount as a number.
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Question 16
Bike hire A charges $3 plus $1.50 per hour. Bike hire B charges $5 plus $1 per hour. After how many hours do they cost the same?
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