1. x2/3 + 3x1/3 and y = 10. What are the values of X?
A) -2, 5
B) -5, 2
C) -125, 8
D) -8, 125
E) None of the above
2. When a number is decreased by 20% of itself, the result is144. What is the number?
36
72
180
900
3. A car rental agency charges $175 per week plus $0.20 per mileto rent a car. How many miles can you travel in one week for $295??
234 miles
575 miles
600 miles
1295 miles
?
1755 miles ?
4. The length of a rectangular room is 6 feet longer than twicethe width. If the room's perimeter is 156 feet, what are the room'sdimensions? ?
Width = 24 ft; length = 54 ft
Width = 29 ft; length = 64 ft
Width = 36 ft; length = 42 ft
Width = 48 ft; length = 108 ft
Width = 52 ft; length = 48 ft
5. Find the result of
-19
6-25i
6 + 5i
31
None of the above
6. Fine the answer for | 2(x+1) + 4 | =10
{-6, 0}
{-6, 4}
{-6, 8}
{-8, 0}
{-8, 2}
7. A landscaping company sells 40-pound bags of top soil. Theactual weight x of a bag, however, may differ from the advertisedweight by as much as 0.75 pound. Write an inequality involvingabsolute value that expresses the relationship between the actualweight x of a bag and 40 pounds. Solve the inequality, and expressthe answer in interval form. ?
|40 - x|? 0.75; [39.25, 40.75]
|40 + x| ? 0.75; [39.25, 40.75]
|x + 0.75| ? 40; [39.25, ?)
|x|- 40 ? 0.75 ; (-?, 40.75]
None of the above
8. Write an equation that passes through (1, -6) withx-intercept = -1.
y + 6 = - 3(x - 1) or y = - 3(x - 1)
y + 6 = - 3(x - 1) or y = - 3(x + 1)?
y - 6 = - 3(x + 1) or y = - 3(x + 1)
y - 6 = - 3(x - 1) or y = - 3(x - 1)
y - 1 = - 3x or y - 6 = - 3(x + 1)
9. Suppose a life insurance policy costs $20 for the first unitof coverage and then $5 for each additional unit of coverage. LetC(x) be the cost of insurance of x units of coverage. What will 10units of coverage cost?
$45
$55
$65
$75
10. An investment is worth $2282 in 2006. By 2010 it has grownto $2986. Let y be the value of the investment in year x, where x=0 represents 2006. Write a linear equation that models the valueof the investment in the year x.
11. What is the equation for the line that passes through (4, 3)and perpendicular to the line whose equation is y= 8x + 7.
(x – 3)
(x + 3)
(x – 4)
y (x + 4)
12. The linear function f(x) = -9.8x + 24 models thepercentage of people, f(x), who eats at fast food restaurants eachweek x years after 2009. What is the slope and what does itmean?
m = 9.8; the percentage of people eating at fast foodrestaurants each week has decreased at a rate of 9.8% per yearafter 2009.
m = -9.8; the percentage of people eating at fast foodrestaurants each week has increased at a rate of -9.8% per yearafter 2009.
m = 24; the percentage of people eating at fast food restaurantseach week has increased at a rate of 24% per year after 2009.
m = 24; the percentage of people eating at fast food restaurantseach week has decreased at a rate of 24% per year after 2009.
m = -9.8; the percentage of people eating at fast foodrestaurants each week has decreased at a rate of -9.8% per yearafter 2009.
13. The function f(t) = models the U.S population in
millions, ages 65 and older, where t represents year after 1990.The function g(t) = models the total yearly cost of Medicare inbillions of dollars, where t represents years after 1990. What doesthe function represents. Find
Cost per person in thousands of dollars. $0.16 thousand
Cost per person in thousands of dollars. $0.03 thousand
Cost per person in thousands of dollars. $8.64 thousand
Cost per person in thousands of dollars. $34.67 thousand
Cost per person in thousands of dollars. $30.8 thousand
14. Find the inverse function of f(x) =
15. Find the center and the radius of the circle
(4, -3), r = 8
(-3, 4), r = 8
(-4, 3), r = 64
(-3, -4), r = 64
(-4, -3), r = 64
