Page 635 - Algebra 1

Application: Length of a Garden
Jim wants to find the length of the rectangular garden outside his office. The area is (x2 - 11x + 30) square feet. The width is (x - 6) feet. What is the length of the garden?
Example
6
SOLUTION
Hint
To find the length, solve the formula for the area of a rectangle, A = lw, for the length.
l= _A w
Solve for l.
Evaluate for A and w.
Factor the numerator.
Divide out common factors. Simplify.
= x2 -11x+30 __
(x - 6)
= (x - 6)(x - 5)
__ (x - 6)
= (x - 6) (x - 5) __
(x - 6) = (x - 5)
The length of the garden is (x - 5) feet.
Divide each expression.
a. (7x4 + 7x3 - 84x2) ÷ 7x2
(Ex 1)
b. (x2 - 10x + 25) ÷ (x - 5) (Ex 2)
c. (3x2 - 14x - 5) ÷ (5 - x) (Ex 2)
Divide using long division.
Lesson Practice
d.
(Ex 3)
e.
(Ex 4)
f.
(Ex 5)
g.
(Ex 6)
(8x2 + x3 - 20x) ÷ (x - 2)
(-3x2 + 6x3 + x - 33) ÷ (-2 + x) (6x + 5x3 - 8) ÷ (x - 4).
Carlos wants to find the width of his rectangular deck. The area is (x2 - 10x + 24) square feet and the length is (x - 4) feet. What is the width?
Practice
Distributed and Integrated
1. Find the distance between (-3, 2) and (9, -3). Give the answer in simplest
(86)
radical form.
2. Solve _5 y + _3 ≥ _1 , and graph the solution.
(77) 16 8 2 Factor.
3. 2x2 +12x+16 (79)
4. 3x3 -5x2 -9x+15 (87)
620 Saxon Algebra 1