Name: ______Date: ______Period: ______Test 3 - Inequalities Review Write inequalities for the situations below. Write 3 numbers that would make the situation true. Graph the inequality.
1. The temperature was less than 322̊ Fahrenheit. Inequality______numbers____, ____, ____
2. The school track team must have at least than 10 runners compete at the meet. Inequality______numbers____, ____, ____
3. An elevator can carry no more than 15 people. Inequality______numbers____, ____, ____
4. To attend a Texans football game you will spend a minimum of $95. Inequality______numbers____, ____, ____
5. In order to play peewee football, a boy must weigh at least 75 pounds but less than 100 pounds. Inequality______numbers____, ____, ____
Solve and graph the inequalities
6. d – 3 2.5 7. 2m 6 6 - 3x 9
9. - m + 4 –4
10. Write the inequality shown by the graph.
11. Graph the inequality 3 d.
12. To be a part of the elite dance club you must have participated in no fewer than 5 district championship competitions. Write an inequality describing which values of n will result in a dancer joining the club. Graph the solution.
Write an inequality to represent each of the following word problems and solve.
13. Carlotta subscribes to the HotBurn music service. She can download no more than 12 song files per week. Carlotta has already downloaded 10 song files this week. Write and solve an inequality to show how many more songs Carlotta can download. 14. Marco’s Choir class is performing a concert. He wants to buy as many tickets as he can afford. If tickets cost $3.50 each and he has $12.75 to spend, how many tickets can he buy?
1. A limousine company charges $55 to rent a limousine, plus $12.75 for each hour of the rental. What is the greatest number of hours you can rent a limousine if you have $130?
2. George has scored 21 points and 17 points in his first two basketball games. How many points must he score in his third game to have an average of at least 20 points per game?
3. A company wants to order company polos at a discount. The cost will include $24 per shirt and a $50 delivery fee. Write an inequality that represents how many shirts they must buy if they must spend a minimum of $200 in order to receive the discount.
Solve the following inequalities:
18. -6z - 36 6 19. 3x + 4 -20 20. k 3k - 12 21. 4y – 3(y +8) < 12
22. 4(x – 3) > 2(2x – 6) 23. 6y + 4 - 2y > 2(y + 5)
24. Which is NOT a solution to the inequality? x + 1 ≥ -3
A. -6 B. -4 C. 3
25. Which is a solution to the inequality? 2y - 3 ˂ 9
A. 2 B. 6 C. 12