Page 416 - Algebra 1

Example
5
3.
(46)
5.
(58)
6.
(51)
7.
(60)
43
x_1 whenx=-16 4. x_1 whenx=343
(46)
Write What does FOIL stand for in the term FOIL method?
Application: Length of a Square Room
Idriana has a square bedroom. The area measures 48 square meters. Find 2
the length of one side of Idriana’s bedroom by simplifying √4 8 m using prime factorization.
SOLUTION
2 s = √ 4 8 m
2 = √ 2 · 2 · 2 · 2 · 3 m
= 2 · 2√3 m = 4√3 m
S i m p l i f y .
P r o d u c t o f R a d i c a l s R u l e Simplify.
Multiply.
The length of one side of Idriana’s bedroom is 4√3 m.
Simplify using perfect squares.
(Ex 1)
a. √ 75 b. √ 63 c. Simplify √ 36 3 using prime factorization.
(Ex 2)
d. Simplify. √ 1,0 00 ,00 0 using powers of ten. (Ex 3)
Simplify. All variables represent non-negative real numbers.
24 37 e. √ 90 b c . f. √ 25 x y .
(Ex 4) (Ex 4)
g. Find the length of one side of a square room with an area of 80 square (Ex 5) meters.
Lesson Practice
Practice
Simplify. *1. √ 12
(61)
Evaluate.
Distributed and Integrated
*2. √ 20 0 (61)
144x __
432
Basketball A basketball court is x + 3 feet long and x + 3 feet wide. A team runs
laps around the court. How far have they run after one lap?
Error Analysis Students were asked to use the sum and difference pattern to find the
product of (x - 8)(x + 8). Which student is correct? Explain the error.
Student A
(x - 8)(x + 8) = x2 - 82
= x2 - 64
Student B
(x - 8)(x + 8) = x2 - 82
= x2 + 64
Lesson 61 401