1. Inequalities

2. Translate:
Eight less than a number is at least 9

3. Translate:
Eight less than a number is at least 9
n – 8 > 9

4. Translate:
Five more than a number is at most 44

5. Translate:
Five more than a number is at most 44
n + 5 < 44

6. Translate:
After depositing $30, Amy had more than $300 in her savings account.

7. Translate:
After depositing $30, Amy had more than $300 in her savings account.
x + 30 > 300

8. Translate:
After withdrawing $40, Erin had less than $ 10 in her savings.

9. Translate:
After withdrawing $40, Erin had less than $ 10 in her savings.
X – 40 < 10

10. Word Problem:
Dylan works for “Dog Scoopers.” He charges $20 for each yard he cleans. Write and solve an inequality that can be used to find out how many lawns he must clean in a week to earn at least $ 200.

11. Word Problem:
Dylan works for “Dog Scoopers.” He charges $20 for each yard he cleans. Write and solve an inequality that can be used to find out how many lawns he must clean in a week to earn at least $ 200.
X= number of lawns cleaned
20x > 200 20
X > Dylan needs to clean at least 10 lawns.

12. Word Problem:
Peachey designs planners for $10 a planner. Write and solve an inequality for the number of planners she must design to earn at least $144.

13. Word Problem:
Peachey designs planners for $10 a planner. Write and solve an inequality for the number of planners she must design to earn at least $144.
X = number of planners designed
10 x > 144
X > Peachey must design at least planners.

14. Solve and Graph:
-15 > t – 4

15. Solve and Graph: -15 > t – 4 + 4 + 4 -11 > t t< -11
-11 > t
t< -11

16. Solve and Graph:
8p < - 40

17. Solve and Graph:
8p < - 40
p < -5

18. Solve and Graph:
x + 8 > 4x

19. Solve and Graph: x + 8 > 4x - x - x 8 > 4 x 4 4 2 > x
2 > x
X < 2

20. Solve and Graph:
- 4z + 10 < z

21. Solve and Graph: 4z + 10 < -27 + z + 4z + 4z 10 < -27 + 5z
37 < 5z
7.4 < z
Z > 7.4

22. Solve and Graph:
4(2 – x) > 18

23. Solve and Graph: 4(2 – x) > 18 8 – 4x > 18 - 8 -8 - 4x > 10
- 4x > 10
x < -2.5

24. Solve and Graph: c
2 + 5 > 8

25. Solve and Graph: c 2 + 5 > 8 - 5 -5 (2) c 2 > 3 ( 2) c > 6
(2) c
2 > 3 ( 2)
c > 6