1. Algebra
12.2/12.3 Review

2. #1) Simplify. a) b)

3. #2) Add and Subtract: Simplify each term first.

4. #3) Multiply a) b)

5. #4) Multiply.

6. #5) Multiply.
It’s a DTS!

7. #6) Simplify. a) 3 b) 1

8. #7) Simplify.
conjugate
Multiply by 1in the form of
conjugate 5 1 11

9. #8) Solve √x + 16 = 1 -16 -16 √x = -15 ( )2 ( )2 x = 225 No solution!
√x = -15
( )2 ( )2
x = 225
Check it!!
No solution!

10. #9) Solve √3x + 2 + 2 = 3 -2 -2 √3x + 2 = 1 ( )2 ( )2 3x + 2 = 1 -2 -2
√3x = 1
( )2 ( )2
3x + 2 = 1
3x = -1
x = -1/3
Check it!!

11. #10) Solve ( )2 ( )2 √2x + 3 = x 2x + 3 = x2 -2x – 3 -2x – 3
( )2 ( )2
2x + 3 = x2
-2x – x – 3
0 = x2 – 2x – 3
0 = (x – 3)(x + 1)
x = 3, -1
Check them!!
x = 3
-1 does not check!

12. #11) Find the geometric mean.
The geometric mean of m and 3 is 15.
Find the value of m.
Geometric Mean = √3m
( )2 ( )2
15 = √3m
225 = 3m
75 = m

13. #12) Simplify. a) b) c)

14. #13) Multiply.
It’s a PST!
#14) Multiply.

15. HW