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- 1. Multiple ChoiceA teacher will determine the total number of books to order for a class using the function b(n) = 4n, where n represents the number of students in the class. What is the independent quantity in this situation?The number of students in the classThe total number of books to orderThe number of books each student needsNot here
- 2. Multiple ChoiceA college student needs 11 classes that are worth a total of 40 credits in order to complete her degree. The college offers both 4-credit classes and 3-credit classes. Which system of equations can be used to determine f, the number of 4-credit classes the student can take to complete her degree, and h, the number of 3-credit classes?f + h = 40
4h + 3f = 11f + h = 11
4h + 3f = 40f + h = 40
4f + 3h = 11f + h = 11
4f + 3h = 40 - 3. Multiple ChoiceOne type of redwood tree has an average height of 65 feet when it is 20 years old. If the tree is more than 20 years old, the average height, h, can be modeled by the function h = 1.95(a − 20) + 65, where a is the age of the tree in years. Which statement about this situation is true?Every additional 1.95 ft of length over 20 ft adds 45 years to the age of this type of redwood tree.For this type of redwood tree, the average height increases by 1.95 ft per year throughout its lifetime.Each additional year of age over 20 years adds 1.95 ft to the average height of this type of redwood tree.For this type of redwood tree, the average height increases by 65 ft for every 20 years of growth.
- 4. Multiple ChoiceWhat is the value of x in the solution to the system of equations below?
15x − 12y = 13
30x + 9y = 4-17/31/3-2/31/6 - 5. Multiple ChoiceThe length, in feet, of a small train at an amusement park can be modeled by the function f(c) = 9c + 14, where c is the number of passenger cars attached to the locomotive. The original passenger cars were replaced, and the length of the train is now modeled by the function h(c) = 12c + 14. Based on this information, which statement describes the change in this situation?The locomotive is now 9 feet long, and the length of each passenger car remained the same.The locomotive is now 12 feet long, and the length of each passenger car remained the same.Each passenger car is now 9 feet long, and the length of the locomotive remained the same.Each passenger car is now 12 feet long, and the length of the locomotive remained the same
- 6. Multiple ChoiceWhich statement about the quadratic parent function is true?Its graph is symmetrical about the x-axis.Its graph is symmetrical about the y-axisIts domain is the set of all non-negative numbers.Its range is the set of all real numbers.
- 7. Multiple ChoiceWhich set of ordered pairs represents y as a function of x?{(−9, 2), (0, 6),
(1, −2), (−3, 6)}{(−1, 0), (4, 3),
(−7, −3), (−1, −8)}{(3, 2), (−4, −2),
(3, 1), (−4, 1)}{(5, 4), (2, 3),
(1, 1), (2, 4)} - 8. Multiple ChoiceWhich statement about the quadratic functions below is false?
3 f (x) = − x2 + 6 4
g(x) = −2x2 − 5 1
h(x) = x2 + 1The graphs of two of these functions have a minimum point.The graphs of all these functions have the same axis of symmetry.The graphs of two of these functions do not cross the x-axis.The graphs of all these functions have different y-intercepts. - 9. Multiple ChoiceThe first five terms in a pattern are shown below.
−0.5, −0.25, 0, 0.25, 0.5, . . .
If the pattern continues, which expression can be used to find the nth term?0.75n − 1.25−0.25n − 0.250.25n − 0.75−0.5n + 0.25 - 10. Multiple ChoiceWhich inequality is equivalent to
−3x + 2y > 5y + 9?y > x + 3y > −x − 3y < x − 3y < −x − 3 - 11. Multiple ChoiceThe approximate distance in miles between Los Angeles and a commercial jet flying from Boston to Los Angeles can be found using the function
m = −475t + 2,650,
where t is the number of hours the jet has been flying. Which number of hours and minutes is closest to the amount of time that the jet has been flying if the jet is 1,500 miles from Los Angeles?2 hours and
25 minutes8 hours and
44 minutes3 hours and
16 minutes9 hours and
13 minutes - 12. Multiple ChoiceTwo functions are given below.
f(x) = −4x + 1 1
g(x) = −4x + 2
How does the graph of f compare with the graph of g?The graph of f is less steep than the graph of g.The graph of f has the same y-intercept as the graph of g.The graph of f is parallel to the graph of g.The graph of f is steeper than the graph of g. - 13. Multiple ChoiceThe measure of an obtuse angle is represented by
(9x + 27)°.
Which is not a possible value for x?7.112.316.96.8 - 14. Multiple ChoiceAn online music service lets customers download an unlimited number of songs for $0.25 each after paying a monthly membership fee of $5.00. The total amount of money a customer spends on music in dollars in a single month can be found using the function y = 0.25x + 5. What does the variable x represent in this function?The total amount of money the customer spends on music each monthThe number of songs the customer downloads each monthThe number of customers that use the music serviceThe cost of downloading one song
- 15. Multiple ChoiceWhich of the following describes all the solutions to the inequality
5x + 7y ≥ 22
when y = −4?x ≤ 10x ≤ −10x ≥ 10x ≥ −10 - 16. Multiple ChoiceWhich statement about the quadratic equation below is true?
−4.5x2 + 72 = 0The equation has
x = 4 as its only solution.The equation has no real solutions.The equation has
x = 4 and x = −4
as its only solutions.The equation has an infinite number of solutions. - 17. Multiple Choice
Which expression is equal to
3c (⅓ d - 9) - 7(c - 1) + d(c + 4) ?
2cd − 34c + 4d + 7
2cd − 7c − 4
2cd + 34c + 4d + 7
2cd + 8c + 4
- 18. Multiple ChoiceWhat is the equation of the line that has a slope of 0 and passes through the point (6, −8)?x = 6y = 6x = −8y = −8
- 19. Multiple ChoiceA candy company sells cases of chocolate bars. The company has fixed costs of $30,000, and each case of chocolate bars costs an additional $5 to make. The company sells each case for $10.
How many cases of chocolate bars will this company need to sell in order for costs and revenue to be equal?3,5006,00035,00060,000 - 20. Multiple ChoiceThe cost of staying at a hotel can be found using the function y = 129x + 9.95, where x is the number of days a guest stays at the hotel and y is the cost in dollars. The cost includes a flat fee for Internet access. If the fee for Internet access is not included, which statement is true?The cost is $9.95 less per dayThe cost is $9.95 less.The cost is $9.95 more per dayThe cost is $9.95 more.
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