FOR A-PLUS WRITER ONLY
1.
1/4x +4 – 4/X62-1 = 6/x – 1
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A.
The solution(s) is/are
nothing .
(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
B.
The solution set is
StartSet x | x is a real number and x not equals nothing EndSet{x | x is a real number and x≠}.
(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
C.
There is no solution.
2.
4x/x – 9 – 36/x + 9 = 648/x^2 – 81
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A.
The solution set is
StartSet x | x is a real number and x not equals nothing EndSet{x | x is a real number and x≠}.
(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
B.
The solution(s) is/are
nothing .
(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
C.
There is no solution.
3.
If there are x teams in a sports league, and all the teams play each other twice, a total of N(x) games are played, where N(x) = x^2 − x. A football league has 7 teams, each of which play the others twice. If the league pays $45 per game, how much will it cost to play the entire schedule?
The total cost will be? ______
4.
The number of bald eagles in a state during the winters from 1996 to 2002 can be modeled by the quartic function
f(x) = -3.449x^4 + 35.417x^3 - 94.105x^2 + 41.597x +75.329
Where x is the number of years since 1996. Find the number of bald eagles in the state in the winter of
2000.
The number of bald eagles in the state in the winter of 2000 is
.
(Round to the nearest whole number.)
5.
Find the slope of the line.
A. The slope of the line is m=.
(Simplify your answer. Type an integer or fraction.)
B. The slope is undefined.
6.
Find the slope of the line.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The slope of the line is M = .
(Simplify your answer. Type an integer or fraction.)
B. The slope is undefined.
7.
Write an equation for the line shown on the right.
The equation of the line is Y = .
(Type an expression using x as the variable. Simplify your answer. Use integers or fractions for any numbers in the expression.)
8.
Write an equation for the line shown on the right.
The equation of the line is Y = .
(Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the expression.)
9. The chart shows the cost of tuition at a certain state university. Model the data in the chart with a linear function, using the points (1,10009) and (3,11300).
Predict the cost of college tuition in 20102010.
|
College Year, x |
Estimated Tuition, y |
|
1997−1998, 0 |
$9488 |
|
1998−1999, 1 |
$10009 |
|
1999−2000, 2 |
$10615 |
|
2000−2001, 3 |
$11300 |
|
2001−2002, 4 |
$12027 |
What is the linear model for the data? Y =
(Type your answer in slope-intercept form. Use integers or decimals for any numbers in the expression. Round to the nearest tenth as needed.)
What will college tuition cost in
2010-2011?
$
(Round to the nearest dollar.)