LCI-Algebra EOC Practice

A 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 class
• The total number of books to order
• The number of books each student needs
• Not here

A 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 = 11
• f + h = 11
  4h + 3f = 40
• f + h = 40
   4f + 3h = 11
• f + h = 11
  4f + 3h = 40

One 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.

What is the value of x in the solution to the system of equations below?
15x − 12y = 13
30x + 9y = 4

• -17/3
• 1/3
• -2/3
• 1/6

 The 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

Which statement about the quadratic parent function is true?

• Its graph is symmetrical about the x-axis.
•  Its graph is symmetrical about the y-axis
• Its domain is the set of all non-negative numbers.
• Its range is the set of all real numbers.

Which 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)}

Which statement about the quadratic functions below is false?
3 f (x) = − x² + 6 4
g(x) = −2x² − 5 1
h(x) = x² + 1

• The 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.

The 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 − 0.25
• 0.25n − 0.75
• −0.5n + 0.25

Which inequality is equivalent to
 −3x + 2y > 5y + 9?

• y > x + 3
• y > −x − 3
• y < x − 3
• y < −x − 3