# EVALUATING FUNCTIONS WORD PROBLEMS WORKSHEET FOR SAT

Problem 1 :

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 2 :

 x12h f(x)0hk

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

Solution

Problem 3 :

 RocketRocket 1Rocket 2Rocket 3Rocket 4Rocket 5Rocket 6Rocket 7 Fuel burned (liters)7121723293235

The distance d, in meter 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

Problem 4 :

Let the function f be defined by f(x) = 2x3 - 1 and let the function g be defined by g(x) = x2 + 3, what is the value of f(g(1))?

a)  4       b) 23      c)  56    d)  127

Solution

Problem 5 :

 x1234 f(x)4652 g(x)0264

Four values for the function f and g are shown in the table above. If g(m) = 6, what is the value of f(m) ?

Solution

Problem 6 :

f(x) = ax3 + b

In the function f defined above, a and b are constants. If f(-1) = 4 and f(1) = 10, what is the value of b ?

Solution

Problem 7 :

For all x ≥ 3, f(x) = √(x-3)/2 .If f(n) = 3 is the value of n ?

Solution

Problem 8 :

Let the function f be defined by f(x) = x2 - x + 3. If f(m + 1) = 5 and m > 0. What is the value of m ?

Solution

Problem 9 :

f(x) = x3 + 2

g(x) = 2x

The functions f and g are defined above. If f(b) = 29, what is the value of g(b) ?

a)  4    b)  6    c)  8     d) 10

Solution

Problem 10 :

If f(x) = √(x + 1), what is f(x2 + 4) equal to ?

a) x + 3       b)  x + 5      c) √(x2 + 4) + 1    d) √(x2 + 4x) + 1

Solution

1)  So, volume of balloon after 3 seconds is 3.

2)  k = 18

4)  So, option D is correct.

5)  f(3) = 5

6)  a = 3

7)  n = 39

8)  m  = -2, m = 1

9)  g(3) = 6

10)  So, option c is correct.

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