Inequalities - practice problems
Direction: Solve each problem carefully and show your solution in each item.Number of problems found: 83
- Yoshi's
Yoshi's father gave him 200 Pokemon cards. Each week, Yoshi purchases 25 Pokemon cards to add to his collection. Which inequality can be used to find w, the number of weeks after starting his collection when Yoshi will have more than 750 Pokemon cards in - Solve 23
Solve the following inequality: 4 - ½ (2 x - 3) < 1/3 (5 - 3 x) - Sophie 2
Sophie earns $12.80 per hour babysitting. She has to repay a loan to her parents in the amount of $100. After repaying the loan, she wants to have at least enough money to buy herself a pair of sneakers costing $130.40. Write an inequality modeling the nu - Flat internet program
Under her cell phone plan, Sarah pays a flat cost of $69 per month and $4 per gigabyte. She wants to keep her bill at $83.80 per month. Write and solve an equation that can be used to determine the number of gigabytes of data Sarah can use while staying w
- The sum 37
The sum of 5 and one-sixth of a number x is equal to 12 less than x plus 2/5. Find x. - A gym
The A gym offers two packages for yearly memberships. The first plan costs $50 to be a member. Then, when you visit the gum, it is $5 to get in. The second plan costs $200, but it only costs $2 to get in each time you visit. How many visits would it take - Numbers 83301
On the number line, display all real numbers greater than or equal to two and less than 5. - Inequality 83084
Which number is not a solution to the following inequality? 3 < 2 ⋅ (3x - 9) a) 6 b) 5 c) 4 d) 3 - Fraction 82713
Find a natural number about which: if we subtract 2 from this number and divide the result by three, we get a fraction less than 1
- Greatest 82502
In triangle ABC, side a = 30 cm b = 7 cm. The length of the third side in cm is a natural number. What is the least and what is the greatest length that side c can have? - Advantageous 81698
Mr. Rezek wants to rent an Opel Corsa car for one day. He can choose from two rental tariffs: Tariff 1: Daily flat rate of CZK 1,400. Tariff 2: Daily rental 360 CZK plus 4.50 CZK for each kilometer driven. For what number of kilometers driven is it more f - Five-minute 80951
Karel has an average grade of exactly 1.12 from five-minute episodes. Prove that at least 22 of them have one. - Parakeets 80471
Mr. Spacek keeps birds. It has more than 50 and less than 100. Parakeets make up a ninth and canaries a quarter of the total. How many birds did he keep? - Smallest 80368
What is the smallest whole number to replace the known x for: 9> x/3> 4.
- Henry
Henry has scored 72, 67, 82, and 79 on his Algebra tests. Use an inequality to find the scores he must take on the final exam to pass the course with an average of 77 or higher, given that the final exam counts as two tests. - Triangle 71404
Which three lines of a given length can be three sides of a triangle? A / 42mm; 22mm; 12mm; B / 5cm, 50mm, 6cm; C / 10m, 5m, 50dm; D / 2.1cm, 4.2cm, 1.9cm - Renting
Renting video games from Store S costs $2.50 per game plus a monthly fee of $5.00. Renting video games from Store T costs $5.00 per game with no monthly fee. The monthly cost to rent video games depends on the number of video games, v, rented. Which in - Processing 65514
The Nováková family took a loan (loan) of 120,000 euros from the bank. What was the amount of the fee for processing, setting up, and providing the loan if, according to the bank's fee schedule, it is 0.80% of the loan volume, but at least 250 euros and a - Following 64814
The two sides of the triangle have side lengths a = 6cm and b = 13cm. Then the following applies to the length of the third party c: (A) 7
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