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

Homework Questions

Homework Questions

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

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.

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

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

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

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

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

Examples 7) 𝑥 =6 8) 3 𝑥 +1=76

Examples 9) 3 𝑥 =5 10) 𝑥 2 3 =9

Examples 11) 𝑥 1 4 =2 12) 2𝑥 3 4 −2=14

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