Topics in Solving Inequalities
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Below is the list of all word problems we have on solving inequalities.
Solving Inequalities Word Problems
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Problem 1:
Find all sets of three consecutive positive even integers whose sum is less then 30.
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(algebra word problems, inequalities word problems, solving inequalities word problems)
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Problem 2:
The sum of 2 consecutive even integers is at most 400. Find the pair of integers with the greatest sum.
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(algebra word problems, inequalities word problems, solving inequalities word problems)
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Problem 3:
A student scored n71,83, and 96 on three algebra tests. What must he score on the fourth test in order to have an average grade of at least 85?
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(algebra word problems, inequalities word problems, solving inequalities word problems)
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Problem 4:
The Boston Celtics play an 82-game schedule. If they have won 41 of their first 50 games, how many more games must they win at least so that they will have won 70% of all 82 games?
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(algebra word problems, inequalities word problems, solving inequalities word problems)
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Problem 5:
Five times the difference of a number and 14 is at least 160. Find all possible values for the number.
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(algebra word problems, inequalities word problems, solving inequalities word problems)
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Problem 6:
Two trucks start from the same point at the same time and go in opposite directions. One truck travels at 88km/h and the other travels at 72km/h. How long must they travel to be at least 672 km apart?
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(algebra word problems, inequalities word problems, solving inequalities word problems)
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Problem 7:
Assume that the mathematical model C(x) = 16x + 130 represents the cost C, in hundreds of dollars, for a certain manufacturer to produce x items. How many items x can be manufactured while keeping costs between $525,000 and $781,000?
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(algebra word problems, inequalities word problems, solving inequalities word problems)
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Problem 8:
Students in the school band are selling calendars. They earn $.40 on each calendar they sell. Their goal is to earn more than $327. Write and solve an inequality to find the least number of calendars they can sell and still reach their goal.
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(algebra word problems, inequalities word problems, solving inequalities word problems)
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Problem 9:
The sum of Emma's age and Julia's age is sixty. Julia is four times older than Emma. How old is Julia?
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(algebra word problems, inequalities word problems, solving inequalities word problems)
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Problem 10:
There are 5 exams in a marking period. Gerry recieved grades of 70, 78, 90, and 95 on the first 4 exams. What grade must she get on the last exam so that her average for the marking period will be at least 85?
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(algebra word problems, inequalities word problems, solving inequalities word problems)
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Problem 11:
You have saved $52 and deposit $27 every week for 11 weeks. Will you have enough to buy a jacket that cost $340?
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(algebra word problems, inequalities word problems, solving inequalities word problems)
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Problem 12:
A school bus can hold 64 passengers. The 8 White Team has 141 students. How many buses do they need for their field trip?
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(algebra word problems, inequalities word problems, solving inequalities word problems)
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