GRE - Graduate Record Examinations Algebraic Equations and Functions Questions and Answers

Question 1

If f(x) = 3x² - 2x + 5, what is the value of f(f(1))?

Accepted Answer

82

Answer

6

Answer

10

Answer

21

Question 2

A taxi service charges a flat fee of $3.50 plus an additional $0.60 per quarter-mile. Which of the following functions C(d) represents the total cost, in dollars, for a trip of d miles?

Accepted Answer

C(d) = 3.50 + 2.40d

Answer

C(d) = 3.50 + 0.60d

Answer

C(d) = 3.50d + 0.60

Answer

C(d) = 3.50 + 0.15d

Question 3

If |3x - 4| = 11, what is the sum of the two possible values of x?

Accepted Answer

8/3

Answer

15

Answer

5

Answer

-7/3

Question 4

For which of the following values of k is the expression (k² - 4) / (k² + k - 6) undefined?

Accepted Answer

-3

Answer

-2

Answer

0

Answer

4

Question 5

If 4a + 3b = 10 and 2a - b = 0, what is the value of a + b?

Accepted Answer

3

Answer

1

Answer

6

Answer

0

Question 6

A rectangular field has a perimeter of 50 meters and an area of 150 square meters. If the length of the field is L and the width is W, which of the following quadratic equations correctly represents the dimensions of the field?

Accepted Answer

x² - 25x + 150 = 0

Answer

x² - 50x + 150 = 0

Answer

x² + 25x + 150 = 0

Answer

2x² - 50x + 150 = 0