1. Warm Up
Simplify
3 𝑥 2 ∗𝑥
2 𝑥
5𝑥∗5 𝑥 1 2
𝑥 𝑥

2. Homework Questions

3. Homework Questions

4. Test Score Breakdown
90 – 100% A 88 – 80% B 78 – 70% C 68 – 60% D 58 – 50% F

5. Solve Equations with Exponents and Radicals
Essential Question: How do you solve an equation that contains an exponent or a radical?
Assessment: Students will demonstrate in writing through examples in their workbook.

6. Key Concept Example: 𝑥 2 =9 𝑥 2 = 9 𝑥=±3
The inverse of an exponent (power) is: ____________. Steps: 1)___________________________ 2)___________________________ 3)___________________________ 4)___________________________
Example:
𝑥 2 =9
𝑥 2 = 9
𝑥=±3

7. Examples
1) 2𝑥 2 =8 2) 3𝑥 2 −5=22 3) 3𝑥 2 +2=14

8. Examples
4) 𝑥 3 =27 5) 3𝑥 3 +6=30 6) 𝑥 4 −3=13

9. How do you solve an equation that contains an exponent?
Essential Question
How do you solve an equation that contains an exponent?

10. Key Concept Example: 𝑥 =3 ( 𝑥 ) 2 = (3) 2 𝑥=9
The inverse of a root is ___________________. Steps: 1)__________________________ 2)__________________________ 3)__________________________ 4)__________________________
Example:
𝑥 =3
( 𝑥 ) 2 = (3) 2
𝑥=9

11. Examples
7) 𝑥 =6
8) 3 𝑥 +1=76

12. Examples
9) 3 𝑥 =5
10) 𝑥 =9

13. Examples
11) 𝑥 =2
12) 2𝑥 −2=14

14. Write your Summary EQ: How do you solve equations that have radicals?
Homework Worksheet – Solving Equations with Exponents and Radicals