A set of multiple choice intermediate algebra questions, with answers, are presented. The answers are at the bottom of the page. Also included are the solutions with full explanations.

If f(x) = 4x^{3}  4x^{2} + 10, then f(2) =

Which of these values of x satisfies the inequality 7x + 6 ≤ 8

The domain of the function f(x) = √(6  2x) is given by
A. x > 0 
x ≥ 6 
C. x ≤ 3 
D. x ≤ 6 

The lines y = 2x and 2y =  x are
A. parallel 
B. perpendicular 




C. horizontal 
D. vertical 

The equation 2x  5  3 = k has no solution if k =

The inequality corresponding to the statement:"the price is no less than 100 Dollars" is
A. x < 100 
B. x ≥ 100 
C. x ≤ 100 
D. x > 100 

Which of these relations DOES NOT represent a function?
A. {(2,3),(4,3),(7,3)} 
B. {(0,0),(1,1),(2,2)} 




C. {(2,3),(5,3),(2,7)} 
D. {(1,3),(5,3),(9,0)} 

Which of these points DOES NOT lie on the graph of y = x + 3?
A. (9,6) 
B. (3,0) 
C. (2,5) 
D. (2,2) 

What is the slope of the line perpendicular to the line y = 5x + 9?
A. 5 
B. 5 
C. 1/5 
D. 1/5 

Which property is used to write:3(xy) = (3x)y?
A. Commutative property of multiplication 
B. Multiplicative inverse property 




C. Distributive propery 
D. Associative property of multiplication 

In which quadrant do the lines x = 3 and y = 4 intersect?

The value of 2^{2} is
A. 4 
B. 0.25 
C. 4 
D. 0.25 

If a and b are positive real numbers, then (a^{0}  3b^{0})^{5} =

Which inequality describes the situation:"length L is at most 45 cm".
A. L = 45 cm 
B. L > 45 cm 
C. L ≥ 45 cm 
D. L ≤ 45 cm 

The equation mx  8 = 6  7(x + 3) DOES NOT have any solution if m =

The equation  mx + 1 = 13  4(x + 3) is an identity if m =

Which of the following is ALWAYS true?
A. A function is not a relation 
B. Every function is a relation 




C. Every relation is a function 
D. A relation is not a function 

Which of these inequalities has NO solutions?
A. 7x + 4 > 3 
B. x  1 > 10 




C. x + 3 < 2 
D. 100x + 5 ≥ 8 

The lines y = (a  5)x + 5 and y = 2x + 7 are parallel if a =

The lines y = (a  5)x + 5 and y = 2x + 7 are perpendicular if a =
A. 11/2 
B. 5 
C. 2/9 
D. 9/2 

