WORKSHEET ON EVALUATING FUNCTIONS FOR SAT

Problem 1 :

If f(x) = 2x−5, then what is the value of f(2) + f(5) ?

(A) 1    (B) 2    (C) 3    (D) 4      (E) 5

Solution

Problem 2 :

If h(x) = 3x + 5 and h(a) = 27, then what is the value of a ?

Solution

Problem 3 :

Let f(x) = 4x − 3. If f(a) = 9 and f(b) = 5, then what is f(a + b) ?

(A) 5      (B) 7     (C) 14        (D) 16       (E) 17

Solution

Problem 4 :

If f(x) = x² − 1, and f(2a) = 35, then what could be the value of a ?

(A) −6      (B) −3     (C) 1     (D) 2       (E) 6

Solution

Problem 5 :

If f(x) = 2x+ 4, then what is the value of f(4) + f(6) ?

(A) f(8)      (B) f(10)       (C) f(12)      (D) f(18)      (E) f(28)

Solution

Problem 6 :

z(q) = 4q + 1/2

The zoomster function z used in space flight engineering is defined above. If, for some number u, z(u + 1/2) = 1/2, then what is the value of u ?

(A) −3/2       (B) −1/2      (C) −1/8      (D) 1/8    (E) 1/2 

Solution

Problem 7 :

For the function f graphed in the xy plane above, if f(−2.5) = k, then what is f(2k) ?

Solution

Problem 8 :

The volume of a balloon is given by the equation

V = t² - 3t + 3

What is the volume of the balloon after 3 seconds ?

(A) 3       (B) 6      (C) 9      (D) 12

Solution

Problem 9 :

In the table above, if y = x² + x - 2, what is the value of k ?

Solution

Problem 10 :

The distance d, in meters, traveled by a rocket depends on the amount of fuel f, in liters, it burns according to the equation d = (2/3)f . Based on the table above, how many rockets traveled more than 20 meters ?

(A) one       (B) Two      (C) Three      (D) Four

Solution