Algebra I
Name:
Inequalities REVIEW
1. Solve & Graph the inequality and NAME ONE SOLUTION
 4  x
7. 4 > x
2.
3. x  7  6
4. 2x + 3 < 6x - 1
5. 3(2x + 1)  4x + 9
6. 2x - 18 > 4x
7. 10x + 18  -72
8. 7x - 2(x + 5) < 3x - 16
9.
x
 10
2
10. 5 x  ( x  3)  3x  4  x
III. Graph the inequality, NAME ONE SOLUTION( (Don’t forget to shade)
11. 3 y  12 x  9
13.
yx
12. 2 x  3 y  12
14.  y  x
III. Graph the system of inequalities , NAME ONE SOLUTION(Don’t forget to shade)
15.
17.
 y  x 1
16.
4 x  8
-
5 y  10
18. Is  3 a solution to the inequality x  7  10 ?
Yes or No (circle one)
19. Is 0 a solution to the inequality x  7  10 ?
Yes or No (circle one)
20. Is 1 a solution to the inequality 9( x  2)  9 ?
Yes or No (circle one)
21. Is  3 a solution to the inequality  4( x  2)  9 ?
Yes or No (circle one)
22. Is 2,4 a solution to the linear inequality x  2 y  2 ?
Yes or No (circle one)
23. Is 0,1 a solution to the linear inequality  2 y  4 x  2 ? Yes or No (circle one)
24. Ms. Salgado needs to have her car repaired but does not want to spend more than $250 for the
repairs. The mechanic says that the part needed for the repair will cost $78, and that labor will cost
an additional $35 per hour. Write an inequality below that represents the greatest number of hours
the mechanic can work without exceeding Ms. Salgado’s budget?
4x cm
25. What is the value of x so that the perimeter of the rectangle
shown is at least 106 centimeters?
(2+x) cm
26. Solve:
a. x  -25
27. Solve:
a. x  11
49 + 6x > 8(x + 3) – 2x
b. x  -25
c. No Solution
d. Many Solutions
13 + 6x > 8(x + 3) – 2x
b. x  -11
c. No Solution
d. Many Solutions
28.. Fifty minus three times a number is greater than the number increased by 15.
29. An empty book crate weighs 30 lb. What is the greatest number of books weighing 2.5 lb each that
can be packed in the crate if the filled crate may weigh no more than 60 lb?