Name:________________________ Date:______________ 1 Chapter 11 Lesson 5 StandardAlgebra 1 standard 2.0 Understand and use the operation of taking a root and raising to a fractional power. The and Example 1: Example 2: Example 3: Example 4: When the denominator ends up with a radical we must remove it and this process is called rationalizing the denominator.

Name:________________________ Date:______________ 2 Chapter 11 Lesson 5 Ex. 5: Example 6: Example 7: Example 8: Example 9:

Name:________________________ Date:______________ 3 Chapter 11 Lesson 5 Try These1) 9) 2) 10) 3) 11) 4) 12) 5) 13) 6) 14) 7) 15) 8) 16)

Name:________________________ Date:____________ 4 Chapter 11 Lesson 6 Addition and Subtraction of Rational Exp. StandardAlgebra 1 1.9, 2.0: Use arithmetic properties of real numbers; Use the operation of taking a root. Ex. 1) Add Ex. 2 ) Ex. 3) Ex. 4)

Name:________________________ Date:_____________ 5 Chapter 11Lesson 6 Addition and Subtraction of Rational Exp. 1) 2) 3) 4) 5) Try These

Name:________________________ Date:______________ 6 Chapter 11 11Lesson 6 Addition and Subtraction of Rational Exp. Algebra 1 1.9, 2.0: Use arithmetic properties of real numbers; Use the operation of taking a root. Example 1 Ex. 2 Ex. 3 Standard

Name:________________________ Date:_____________ 7 Chapter 11 Lesson 6 Addition and Subtraction of Rational Exp. 1) 2) 3) 4) 5)

Name:________________________ Date:____________ 8 Chapter 11 Lesson 7 Pythagorean Theorem Standard Remember Algebra Understand and use taking a root. A right triangle has a right angle in it ( 90 degrees and looks like a corner. The longest side of a triangle is called the hypotenuse. leg hypotenuse leg The Pythagorean Theorem In any right triangle, if a and b are the lengths of the legs and c is the length of the hypotenuse, then

Name:________________________ Date:____________ 9 Chapter 11 Lesson 7 Pythagorean Theorem The sum of the legs squared equals the hypotenuse squared. If we know the length of two sides of a right triangle then we can figure out the third. Example 1: 4 c 5 a = 4, b = 5 so Example 2: 1 b so

Name:________________________ Date:______________ Chapter 11Lesson 7 Pythagorean Theorem 1) c 4 7 2) 11 a 14 3) 2 b 4) 13 a 12 Try These

Name:________________________ Date:______________ Chapter 11 Lesson

Name:________________________ Date:______________ Chapter 11 Lesson

Name:________________________ Date:______________ Chapter 11 Lesson

Name:________________________ Date:______________ Chapter 11 Lesson