Warm Up 15x + 3y 3xy –3a – b + 10 Simplify each expression.
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Transcript of Warm Up 15x + 3y 3xy –3a – b + 10 Simplify each expression.
Warm Up 15x + 3y 3xy 3a b + 10 Simplify each expression.
1. 14x + 15y 12y + x 2. 9xy + 2xy 8xy 3. 3(a + b) + Simplify. All
variables represent nonnegative numbers. 4. 5. 6. 15x + 3y 3xy 3a b
+ 10 Homework Workbook pg. 82 Answers
1. 15 2. 5 3. 25 4. |x +8| 5. 6. |x +4| 7. 8. 9. 10. 11. 20. 21.
22. Adding and Subtracting Radical Expressions Objective Vocabulary
Add and subtract radical expressions.
like radicals Square-root expressions with the same radicand are
examples of like radicals. 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.
Combining like radicals is similar to combining like terms.
Helpful Hint Adding and Subtracting Square-Root Expressions
Add or subtract. A. The terms are like radicals. B. The terms are
unlike radicals. Do not combine. Adding and Subtracting Square-Root
Expressions
Add or subtract. C. the terms are like radicals. D. Identify like
radicals. Combine like radicals. Try This! Add or subtract. a. The
terms are like radicals. b. The terms are like radicals. c. d. The
terms are like radicals. Try This! Add or subtract.
Combine like radicals. Sometimes radicals do not appear to be like
until they are simplified, Simplify all radicals in an expression
before trying to identify like radicals. Simplify Before Adding or
Subtracting
Simplify each expression. Factor the radicands using
perfectsquares. Product Property of Square Roots. Simplify. Combine
like radicals. Simplify Before Adding or Subtracting
Simplify each expression. Factor the radicands using
perfectsquares. Product Property of Square Roots. Simplify. The
terms are unlike radicals. Do not combine. Simplify Before Adding
or Subtracting
Simplify each expression. Factor the radicands using
perfectsquares. Product Property of Square Roots. Simplify. Combine
like radicals. When you write a radicand as a product, make at
least one factor a perfect square.
Remember! Try This! Simplify each expression. Factor the radicands
using perfectsquares. Product Property of Square Roots. Simplify.
Combine like radicals. Try This! Simplify each expression. Factor
the radicands using perfectsquares. Product Property of Square
Roots. Simplify. The terms are unlike radicals. Do not combine. Try
This! Simplify each expression. Factor the radicands using
perfectsquares. Product Property of Square Roots. Simplify. Combine
like radicals. Geometry Application Find the perimeter of the
triangle. Give the answer as a radical expression in simplest form.
Write an expression for perimeter. Factor 20 using a perfect
square. Product Property of Square Roots. Simplify. Combine like
radicals. Try This! Find the perimeter of a rectangle whose length
is inches and whose width is inches. Give your answer as a radical
expression in simplest form. Write an expression for perimeter 2 (l
+ w). Multiply each term by 2 . Simplify. Combine like radicals.
The perimeter is in. Lesson Quiz: Part I Add or subtract. 1. 2. 3.
Simplify each expression. 4. 5. Lesson Quiz: Part II 6. Find the
perimeter of the trapezoid. Give the answer as a radical expression
is simplest form.