1. Algebra II
Chapter 1 Review

2. Simplify:
21 - [(24 + 3) - 2(3)2]

3. Simplify:
21 - [(24 + 3) - 2(3)2]
21 - [27-18]
21-9 = 12

4. Evaluate:
4x2 - 2xy
for x= -2 and y= 5

5. 4x2 - 2xy 4(-2)2-2(-2)(5) 4(4)+4(5) 16+20 = 36
Evaluate:
4x2 - 2xy
4(-2)2-2(-2)(5)
4(4)+4(5)
16+20 = 36

6. State each property:
a. (2 + (-3)) + 7 = 2 + ((-3) + 7 )
b. 5(2x) = (2x)5
c. 4(2 + 9) = 4(2) + 4(9)

7. Sets of Numbers:
Put a check in the box if the number belongs to that set.

8. Simplify:
1/2 (8x - 12) + 1/5 (10x - 15)

9. Simplify:
1/2 (8x - 12) + 1/5 (10x - 15)
4x-6+2x-3
6x-9

10. Solve:
-5(m - 5) = 3(10 - 2m) + 10m

11. -5(m - 5) = 3(10 - 2m) + 10m -5m+25 = 30-6m+10m -5m+25 = 30+4m -9m = 5
Solve:
-5(m - 5) = 3(10 - 2m) + 10m
-5m+25 = 30-6m+10m
-5m+25 = 30+4m
-9m = 5
m = -5/9

12. Solve:
3(t + 7) > t

13. 3(t + 7) > 31 - 2t 3t+21>31-2t 5t>10 t>2
Solve:
3(t + 7) > t
3t+21>31-2t
5t>10
t>2

14. Solve and Graph:
5 < 2x + 7 < 27

15. 5 < 2x + 7 < 27 -2<2x<20 -1<x<10
Solve and Graph:
5 < 2x + 7 < 27
-2<2x<20
-1<x<10

16. Solve:
2|x - 3| - 2 = 8

17. 2|x - 3| - 2 = 8 2|x-3|=10 x-3=5 or x-3=-5 x=8 or x=-2
Solve:
2|x - 3| - 2 = 8
2|x-3|=10
x-3=5 or x-3=-5
x=8 or x=-2

18. Solve:
|4x + 9| > -2

19. |4x + 9| > -2 4x+9>-2 or 4x+9<2 4x>-11 or 4x<-7
Solve:
|4x + 9| > -2
4x+9>-2 or 4x+9<2
4x>-11 or 4x<-7
x>-11/4 or x<-7/4
all real numbers