Page 517 - Algebra 1

Example
4
Practice
Solve.
1. _5 ≤-2p
(70) 6 Factor.
3.
(75)
5.
(75)
Simplify.
*7.
(76)
*9.
(76)
502
4√ 3 · 6√ 6 · 3√ 3 · 2√ 2
Distributed and Integrated
12x2 -25x+7 5z2 +2z-7
2. |x+4|=5 (74)
4. x2 +10x-39 (72)
6. 3x2 +25x-18 (75)
8. -17√ 7s - 4√ 7s (69)
(4√ 5)2
Saxon Algebra 1
*10. 3√ 2 · 4√ 12 - 6√ 54 11. √ x (76) (61) 60
Application: Carpeting
Chavez wants to find the area of a rectangular throw rug. The rug has a side length of 8 + √5 feet and a width of 2 + √2 feet. What is the area of the rug?
SOLUTION
A = lw
= ( 8 + √ 5 ) ( 2 + √ 2 )
= 16 + 8√2 + 2√5 + √1 0
The area of the rug is (16 + 8 √2 + 2 √5 + √1 0 ) square feet.
Simplify. All variables represent non-negative real numbers. a. √ 5√ 3
(Ex 1)
b . 3 √ 7 · 2 √ 3
Lesson Practice
(Ex 1)
c.
(Ex 1)
d.
(Ex 1)
e.
(Ex 2)
f .
(Ex 2)
g.
(Ex 3)
h.
(Ex 3)
i.
(Ex 4)
2 (3√ 6)
3√ 3x · √ 2x √ 7(2 + √ 4) √ 5 ( √ 4 - √ 3 )
Caution
(4 - √7 )2 ≠ 16 + √ 49
Remember to either use the square of a binomial pattern, the Distributive Property, or the FOIL method when squaring a binomial.
(5 + √ 9)(4 - √ 6) 2
(4 - √ 7)
The square dance floor at the local community building is being replaced. The floor’s side length is 32 + √ 13 feet. What is the area of the dance floor?
_3