LINEAR INEQUALITY WORD PROBLEMS WITH SOLUTIONS

Problem 1 :

After a number of months, a bank balance was -$46.83. Each month, the bank charges a $5.95 fee for having a negative balance. Write and solve an inequality to determine at most how many months the fee was charged. What was the balance before the fees were charged?

Solution :

Problem 2 :

In an online game, you receive -3 points for every banana your character slips on during a race. The total points from slipping on bananas during one race were at most -27. When the character slips, it takes 2 seconds for him to resume the race. Write and solve an inequality to find the least number of bananas your character slipped on. At least how many seconds of race were lost?

Solution :

Problem 3 :

Greg’s grandmother is knitting scarves for charity. The table shows the number of yards needed for different types of scarves. She plans to make bulky scarves and has no more than 2,250 yards of yarn. If the charity plans to sell the scarves for $24.50, how much money will the charity make?

Solution :

Problem 4 :

At a school outing, a group decides to go rafting. Each raft holds 8 people and costs $25 for the day. If at least 70 people go rafting, how much money will they need for the rafts?

Solution :

Problem 5 :

Eden needs an average of 92% on her quiz scores to earn the grade she wants in science class. Each quiz is worth 20 points. The scores on her first four quizzes are shown in the table. There will be one more quiz. What score she can receive to earn at least a 92% average in science class?

Solution :

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