1. Bell Work 15x + 3y 3xy –3a – b + 10 Simplify each expression.
1. 14x + 15y – 12y + x
2. 9xy + 2xy – 8xy
3. –3(a + b) +
Bell Work
15x + 3y
3xy
–3a – b + 10

2. Simplify. All variables represent nonnegative numbers.4. 5. 6.

3. Adding and Subtracting Radical Expressions
Part 1

4. Objective Vocabulary Add and subtract radical expressions.
like radicals

5. Square-root expressions with the same radicand are examples of like radicals.

6. Like radicals can be combined by adding or subtracting
Like radicals can be combined by adding or subtracting. You can use the Distributive Property to show how this is done:
Notice that you can combine like radicals by adding or subtracting the numbers multiplied by the radical and keeping the radical the same.

7. Combining like radicals is similar to combining like terms (variables).
Helpful Hint

8. Adding and Subtracting Square-Root Expressions
Add or subtract. A.
The terms are like radicals. B.
The terms are unlike radicals. Do not combine.

9. Adding and Subtracting Square-Root Expressions
Add or subtract. C.
the terms are
like radicals. D.
Identify like radicals.
Combine like radicals.

10. Try This!
Add or subtract. a.
The terms are like radicals. b.
The terms are like radicals.

11. c. d. The terms are like radicals. Try This! Add or subtract.
Combine like radicals.

12. Sometimes radicals do not appear to be like until they are simplified, Simplify all radicals in an expression before trying to identify like radicals.

13. Simplify Before Adding or Subtracting
Simplify each expression.
Factor the radicands using perfect squares.
Product Property of Square Roots.
Simplify.
Combine like radicals.

14. Simplify Before Adding or Subtracting
Simplify each expression.
Factor the radicands using perfect squares.
Product Property of Square Roots.
Simplify.
The terms are unlike radicals. Do not combine.

15. Ticket Out Quiz: Part I
Add or subtract. 1. 2. 3.
Simplify each expression. 4. 5.

16. Homework
Worksheet on Adding and Subtracting Radicals

17. Worksheet #25

18. Worksheet #28