Add, Subtract, and Multiply Radical Expressions Algebra 1

8x − 2 = −9 + 7x Bell Work Activator 1. What is the sum of 9 and 7? 2. What subsets of numbers do 9 and 7 belong to? 3. Is the sum rational or irrational? 4. Use your calculator to find the sum of 9 and √7? 5. Is the sum rational or irrational? Explain your results in 3-4 sentences.

Bell Work Activator Solve for p. p − 1 = 5 p + 3p − 8 1.) 1 3 + 2 5 = 2.) 3 5 − 2 6 = 3.) 2 3 + 1 2 = 4.) 5 9 − 1 6 =

Standard MGSE9-12.N.RN.2: Rewrite expressions involving radicals (i.e., simplify and/or use the operations of addition, subtraction, and multiplication, with radicals within expressions limited to square roots). MGSE9-12.N.RN.3: Explain why the sum or product of rational numbers is rational; why the sum of a rational number and an irrational number is irrational; and why the product of a nonzero rational number and an irrational number is irrational.

Learning target - I can add and subtract radical expressions. - I can explain why the sum of a rational number and a rational number is rational. - I can explain why the sum of a rational number and an irrational number is irrational.

I - Do

I - Do

I - Do

I - Do

We - do Directions: Simplify 1. 3 2 + 2 2 2. 2 5 - 4 5

We - do Directions: Simplify 3. 4 54 + 2 24 4. 4 12 - 6 48

We - do Directions: Simplify 5. 3 2 (2 6 )

You - do 1. 3 5 + 6 5 2. 7 - 6 7

You - do 3. 3 5 + 2 20 4. 8 + 12 + 18

You - do 5. 4 3 (8 3 )

I - check Exit Slip 54 - 24

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