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Name:____________________________________________Date:_______________________Period:______
Accelerated Algebra I
Chapter 10
Review of Sections 10-1 to 10-6
I. Translate each sentence into symbols.
1. 12 is greater than or equal to 0 ___________________
2. -6 is less than -2. ___________________
3. 4 is greater than -3 and less than 15. ________________
4. -2 is between -8 and 4. ________________
II. Classify each statement as true or false.
5. 6  5  3 ______________
6. 15  14 ______________
8. 5  5 _____________
9. 1  9 ______________
7. 1  3  2 ______________
III. Find the solution set of each inequality if x  {-2, -1, 0, 1, 2,}
10. 2x  2 ______________
11. 4  x  4 ______________
12. x  0 ______________
IV. Graph each inequality on the number line.
13. b  5 or b  7
14. b  6 and b  10
15. x  2 and x  1
V. For each inequality, (a) solve and (b) graph over the set of real numbers.
16. 3x  4  2(x  3)  x
17. 13x  11  7x  37
18. 3  3(y  2)  13  3(y  6)
VI. Solve each open sentence and graph its solution set.
19. 3  n  5  7
20. u  2  5 or u  2  4
22. 5  3 z  14
23.
25. 3 x  7  13  5
26.
c
1
4
4
y  2  10
3
21. m  2
1
2
24. 10  6 2  k  22
27. 6
1
f  3  1  13
2
X. Define a variable, write an inequality, and solve each problem.
28. The sum of three consecutive odd integers is at most 88. Find the three integers.
29. Lisa has some nickels and dimes in her change purse that are worth at least $6.25. She has three times as
many nickels as dimes. How many nickels does she have?
30. The length of a rectangle is 5 cm more than its width. The perimeter of the rectangle is at least 62 cm.
Find the minimum dimensions of the rectangle.