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| ff Two trucks, loaded with cargo, start from Amsterdam. The first truck travels at a steady rate of 60 miles per hour and is 150 miles ahead of the second truck which travels at a steady rate of 90 miles per hour. What is the time taken by the second truck to catch up with the first truck? ff |
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ff What is the value of x, if 7x + 16 = 3x + 36?
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ff Choose the first step that would help you solve the equation - 3x = - 42 + 43x.
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ff A library provides two types of cards for its members. A red card that costs $48 plus $2.25 rent per book and a yellow card costs $24 plus $3.75 rent per book. Find the number of books for which both cards would cost the same.
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ff Solve the equation, 5(x + 3) = 5x + 15 and determine whether it has one solution, no solution, or is an identity.
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ff Solve the equation 4(x + 11) = 4x + 8 and determine whether it has one solution, no solution or is an identity.
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ff Solve the equation 12(m - 3) = 4m + 3, for the value of m.
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| ff The sum of a number and 10 less than that number is three times the same number. Find the number. ff |
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| ff Andy is trying to compare the rate plans of two telephone companies. Company-A charges a fixed monthly rental of $20 and calls are charged at $0.30 per minute. Company-B charges a fixed monthly rental of $10 and calls are charged at $0.40 per minute. Find the number of minutes for which the cost of both the plans remain the same. ff |
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| ff Find the value of y in the equation 3y - 1 = y + 9. ff |
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| ff One more than the product of a number n and 2 is equal to the product of the number n and 3. Find the number n. ff |
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ff What is the value of x, if 2(x - 3) + 11 = 3x + 18?
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| ff What is the value of x, if 3(x - 3) + 12 = 2(x - 2) + 6? ff |
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D Choose the first step that would help you solve the equation - 4x = - 47 + 15x.
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D A library provides two types of cards for its members. A red card that costs $36 plus $3.25 rent per book and a yellow card costs $24 plus $4.75 rent per book. Find the number of books for which both cards would cost the same.
D |
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D Solve the equation, 2(x + 5) = 2x + 10 and determine whether it has one solution, no solution, or is an identity.
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D Solve the equation 5(x + 12) = 5x + 10 and determine whether it has one solution, no solution or is an identity.
D |
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D Solve the equation 13(m - 2) = 2m + 3, for the value of m.
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| D The sum of a number and 8 less than that number is three times the same number. Find the number. D |
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| D Andy is trying to compare the rate plans of two telephone companies. Company-A charges a fixed monthly rental of $20 and calls are charged at $0.50 per minute. Company-B charges a fixed monthly rental of $10 and calls are charged at $0.60 per minute. Find the number of minutes for which the cost of both the plans remain the same. D |
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| D Find the value of y in the equation 5y - 1 = y + 15. D |
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| D Nine less than the product of a number n and 3 is equal to the product of the number n and 4. Find the number n. D |
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D What is the value of x, if 2(x - 4) + 13 = 3x + 20?
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| D What is the value of x, if 4(x - 4) + 24 = 3(x - 3) + 15? D |
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| D Paul wants to go to Atlanta from San Francisco. He is comparing the rental plans of two companies. Henry Car Rentals charges $110 per week plus 60 cents per mile. William Car Rentals charges $95 per week plus 66 cents per mile. Find the number of miles for which the rental charges of the two companies are the same. D |
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| D A parking lot has 112 vehicles, which includes both two-wheelers and four-wheelers. How many vehicles of each type are there in the parking lot, if the number of four-wheelers is 94 more than the number of two-wheelers? D |
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| D A parking lot has 158 vehicles, which includes both two-wheelers and four-wheelers. How many vehicles of each type are there in the parking lot, if the number of four-wheelers is 20 more than the number of two-wheelers? D |
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