1. Warm Up Simplify: Simplify: 8 4 3 Solve: 3 2𝑥+1 =−2 2 𝑥 +4= 3 5 5𝑏 3
5𝑏 3
𝑟 10 𝑟 7
3 𝑏 4 2
𝑟 −5 𝑚 𝑚 −3 4
Simplify:
8 4 3
Solve:
3 2𝑥+1 =−2
2 𝑥 +4= 3 5

2. Warm Up
Simplify:
5𝑏 3
𝑟 10 𝑟 7
3 𝑏 4 2
𝑟 −5 𝑚 𝑚 −3 4

3. Warm Up
Simplify:
8 4 3

4. Warm Up
Solve:
3 2𝑥+1 =−2

5. Warm Up
Solve:
2 𝑥 +4= 3 5

6. Solving Nth Root Equations
We talked last week about solving square root equations
What if the equation isn’t a square root but a 4th root? What if you have an exponent under the radical?

7. Solving Nth Root Equations
Example 1:
4 𝑥 2 +5 = 2
𝑥 2 +5=16
−5 −5
𝑥 2 =11
𝑥=± 11
4 ( ) 4

8. Solving Nth Root Equations
Example 2: 6 𝑥 3 −61 +10=12 −10 −10 6 𝑥 3 −61 =2 𝑥 3 −61= 𝑥 3 =125 𝑥=5
6 ( ) 6 3

9. Solving Nth Root Equations
3 𝑥 5 −3 +7=15 3 (𝑥−4) 2 =4

10. Solving Nth Root Equations
3 (𝑥−4) 2 =4

11. Solving Nth Root Equations
A quick note about notation: (𝑥−4) 2 3 =4

12. Practice Proficient Advanced 20𝑛 −9=1 −33=−9− 4𝑥 3 𝑥 +4=3 𝑥 3 2 =729
−33=−9− 4𝑥
3 𝑥 +4=3
𝑥 =729
6 32𝑘 5 =32
𝑥 =729
6 32𝑘 5 =32
2𝑥− =67
41= 𝑏
4− 𝑟 =−124

13. Practice Proficient Advanced 𝑛=5 𝑥=144 𝑥=−1 𝑥=81 𝑘=2 𝑥=81 𝑘=2
𝑥=33 or 𝑥=−31
𝑏=16
𝑟=19

14. AA1 Unit Test
Your next test will be on Thursday, October 16 We will review in class on Monday and Tuesday for the test.

15. AA1 –Creating and Solving Equations
ALGEBRA 3-4
AA0 – Review Unit
LAST UNIT
CURRENT UNIT
AA2 – Graphs and their Transformations
AA1 –Creating and Solving Equations
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AA1a Manipulating Equations and Inequalities
is about...
AA1b Solving Inequalities
Simplifying and Solving
AA1b Solving Rational Equations
AA1b Solving Nth Root Equations
Printed on colored cardstock (different color for each learning target)
Background knowledge
Solve for y: −3 2𝑥+4𝑦 =16
Solve for p: 3𝑘−4𝑝≥12
Solve:
2𝑥− 𝑥−1=4𝑥−18
4) Solve:
a) 𝑥 3 +6=14
b) −3 𝑥−4 2 =−27
5) Solve:
2−5 3𝑥+1 >4𝑥−12+6𝑥
Solving Basic Inequalities
Solving Multi-Step Equations
Basic Understanding of Roots
Self-Assessment Questions

16. Exit Slip
What is one topic you think you need to review before the test?
What is one positive and one negative about October so far?
Homework: Solving Nth Root Equations WS

17. Self -Test
On a fresh sheet of paper, answer the self-assessment questions from the bottom of the Unit Organizer
Make a note of what you think is easy, what you think you might need to review
Answers:
𝑦=− 1 2 𝑥− 4 3
𝑝≤ 3 4 𝑘−3
𝑥=19 4)
a) 𝑥=2
b) 𝑥=7 or 𝑥=1
5) 𝑥< 9 25