Page 709 - Algebra 1

Lesson Practice
correct? Explain the error.
Simplify. All variables represent non-negative numbers. a. 5 b.√ 11
(Ex 1)
c.
3
(Ex 2)
_√ 27 x e. 3
(Ex 4) √7 - 1
Distributed and Integrated
(Ex 4)
5 - √ 6
(Ex 3)
__
√x
d.
3 __
6 √ 6x
Practice
*1.
(103)
2.
(99)
*3.
(103)
_ Simplify 35 .
√ 7 Solve_8 =_x.
x-1 7
Error Analysis Two students simplified the following expression. Which student is
_Student A
1
3 + √ 2 1
3 - √ 2 _
_ 3 + √ 2 · 3 - √ 2 3 - √ 2
_ 7
_Student B
1
3 + √ 2
1
_ _ · √ 2
√ 2
3 √ 2 + 2
_ 3 + √ 2 √ 2
*4.
(103)
5.
(42)
*6.
(103)
*7.
(103)
8.
(102)
Skydiving A 150-pound skydiver reaches terminal velocity after free-falling for a number of seconds. The formula for the terminal velocity V_of a skydiver
2 W
(in feet per second) can be estimated by the formula V = √ , where W equals
0.0063
the weight of the skydiver in pounds. Write a rational expression for the terminal
velocity of the skydiver.
What is 400% of 40? Use a proportion to solve.
_
Write Is 2√ 3 in simplest form? Explain.
694
Saxon Algebra 1
√ 2
Predict If 2 ÷ √ 2 is √ 2, and 3 ÷ √ 3 is √ 3, what is a good prediction of what the
quotient of 239 ÷ √ 23 9 might be?
Multi-Step The area of a square is 9x2. The length of one of its sides plus 32 is 47.
a. What is the length of one of its sides? b. What is the area of the square?
c. What is x?