Intermediate Algebra Questions With Answers Sample 5

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) =

A. 26

B. -38

C. 10

D. 38

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

A. -2

B. 0

C. -7

D. 2

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 =

A. -5

B. -3

C. 7

D. 0

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?

A. I

B. II

C. III

D. IV

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} =

A. 0

B. 1

C. -32

D. 32

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 =

A. 3

B. 7

C. -7

D. 0

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

A. 4

B. -4

C. 1

D. -1

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 =

A. -2

B. 3

C. 5

D. -5

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