Solving
Solve the inequality:
2x − 5 > 9
x > 7
Lindsay has read 120 pages of his book. She plans to read 30 pages per day and wants to read at least 420 pages total. How many days (d) will she need to read?
120 + 30d ≥ 420
Final Answer: Lindsay needs to read for at least 10 days to reach her goal.
Zoe has a budget of $68 for school supplies. She buys a planner for $12 and several notebooks that each cost $7. How many notebooks (n) can Zoe buy?
7n + 12 = 68
Final Answer: Zoe can buy 8 notebooks
Logan cost $95. Alex already saved $23 and saves $8 each week. He wants to have at least enough to buy the shoes. How many weeks (w) must Logan save?
23 + 8w ≥ 95
Final Answer: Logan must save for at least 9 weeks to have enough money to buy the sneakers.
Solve the inequality:
−3x + 8 ≥ 20
x ≤ −4
A gym charges a $25 sign-up fee plus $9 per visit. The total cost was $79. What was the total number of visits (v)?
9v + 25 = 79
Final Answer: v = 6
A coach of a baseball team orders hats for the players on his team. Each hat costs $9.95. The shipping charge for the entire order is $5.00. There is no tax on the order. The total cost of the coach's order is less than $125. Write and solve an inequality to determine the greatest number of hats (h), the coach orders.
9.95h + 5 < 125
Final Answer: h < 12.06
The robotics team has already raised $125 towards their goal of $365. They plan to sell candles for $20 each. How many candles (c) must they sell to reach their goal?
20c + 125 = 365
Final Answer: c = 12
Solve the Equation:
1/3b + 6 = 18
b = 36
A fitness studio charges a $40 registration fee plus $7 per class. Shane has no more than $96 to spend. How many classes (c) can she attend?
40 + 7c ≤ 96
Final Answer: Shane can attend at most 8 classes.
Jackson has a leak in his shower. A plumber charges a $75 diagnostic fee plus $50 per hour of labor. Jackson has no more than $375 set aside for home emergencies. How many hours (h) of plumbing work can Jackson afford with his emergency fund?
75 + 50h ≤ 375
Final Answer: Jackson can afford at most 6 hours of plumbing work.
Connor wants to ride his bicycle more than 80 miles this week. He has already ridden his bicycle 18 miles. Which inequality could be used to determine the mean number of miles, m, he would need to ride his bicycle each day for six more days to achieve his goal?
18 + 6m > 80
Final Answer: m > 10.33 miles
Solve the Equation:
-8d - 15 =95
d = -13.75
Lunch at the MOST museum costs $9 per student plus a flat delivery fee of $22. The teacher can spend no more than $130. How many students (s) can order lunch?
9s + 22 ≤ 130
Final Answer: The teacher can pay for lunch for at most 12 students without going over the budget.
A phone plan costs $25 per month plus $3 per gigabyte of extra data. Maxwell wants to spend no more than $55 this month. How many gigabytes of extra data (g) can Maxwell use?
25 + 3g ≤ 55
Final Answer: Maxwell can use at most 10 gigabytes of extra data this month.
Ryan is taking steps to become debt-free. His first step is paying off his credit card, which has a balance of at least $5,340. He will make a payment of $175 this month. He will try to pay at least $190 each month after this. How many months (m) will it take to pay off the remaining balance?
175 + 190m ≥ 5340
Final Answer: It will take Ryan at least 28 months after this month to pay off the remaining balance.
Solve the inequality:
−5x + 14 ≥ 59
x ≤ −9
Japhet is taking honors English and will have several books to read as his summer reading assignment. He has estimated the total number of pages to read this summer is at least 1,400. He has already read 360 pages and plans to read 25 pages a day. How many days (d) will he spend reading at this pace?
360 + 25d ≥ 1400
Final Answer: Japhet will need at least 42 days of reading.
Austin is starting a small business and has no more than $400 set aside for print and mail advertising. He will spend $250 on printing and the rest on postage. Each advertisement will use one stamp costing $0.55. What is the maximum number of advertisements (a) Austin will be able to send out without going over his budget?
250 + 0.55a ≤ 400
Final Answer: Austin can send out at most 272 advertisements without going over his budget.
Isabella is raising money for her softball team by selling quarts of strawberries for $6 each. Her Teta has already donated $25 towards the fundraiser, and each team member is trying to raise at least $150. How many quarts of strawberries (x) will Isabella need to sell to reach this goal?
6x + 25 ≥ 150
Final Answer: Isabella needs to sell at least 21 quarts of strawberries.