Page 637 - Algebra 1

*17.
(91)
18.
(91)
19.
(9 0)
*20.
(9 0)
21.
(89)
22.
(88)
23.
(87)
24.
(78)
25.
(83)
Census The census of England and Wales has a margin of error of ±104,000 people. The 2001 census found the population to be 52,041,916. Write an absolute- value inequality to express the possible range of the population. Then solve the inequality to find the actual range for the population.
Error Analysis Two students solve the inequality ⎢x + 11 > -15. Which student is correct? Explain the error.
Multiple Choice When simplifying _ 1 + _1 , what is the numerator? x2 -5x-50 2x-20
A1 B2 Cx+5 Dx+7
Analyze Explain what can be done so that _1 and _5r have like denominators. 3-r r-3
Probability Mr. Brunetti writes quadratic equations on pieces of paper and
puts them in a hat, and then tells his students each to choose two at random.
After each student picks, his or her two papers go back in the hat. The functions
are y = 4x2 - 3x + 7, y = -7 + x2, y = -2x + 6x2, y = 0.5x2 + 1.1, and
y = -_1 x2 + 7x + 5. What is the probability of a student choosing two functions 2
that have a minimum?
Error Analysis Two students divide the following rational expression. Which student is correct? Explain the error.
Cost A bakery sells specialty rolls by the dozen. The first dozen costs
6b + b2 dollars. Each dozen thereafter costs 4b + b2 dollars. If Marcello buys 4 dozen rolls, how much does he pay?
Find the vertical and horizontal asymptotes and graph y = _4 . x+2
Flooring Theo is installing new kitchen tiles. The design on the tile includes a square within a square. The smaller square has a side length of s centimeters. The expression 4s2 + 12s + 9 describes the area of the entire tile. What is the difference between the length of the tile and the length of the square within the tile?
Student A
⎢x + 11 > -15
x can be any real number.
Student B
⎢x + 11 > -15 x=Ø
Student A
_2
m ÷ (m2 + 2) 6m
m2 1 1 _2__
6m2 ·m2+2=6(m2+2)
Student B
_2
m ÷ (m2 + 2) 6m2
m2 m2 + 2 m2 + 2 ___
6m2· 1 = 6
622
Saxon Algebra 1