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.
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If f(x) = 4x3 - 4x2 + 10, then f(-2) =
A. 26 B. -38 C. 10 D. 38
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Which of these values of x satisfies the inequality -7x + 6 ≤ -8
A. -2 B. 0 C. -7 D. 2
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The domain of the function f(x) = √(6 - 2x) is given by
A. x > 0 x ≥ 6 C. x ≤ 3 D. x ≤ 6
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The lines y = 2x and 2y = - x are
A. parallel B. perpendicular C. horizontal D. vertical
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The equation |-2x - 5| - 3 = k has no solution if k =
A. -5 B. -3 C. 7 D. 0
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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
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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)}
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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)
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What is the slope of the line perpendicular to the line y = -5x + 9?
A. 5 B. -5 C. 1/5 D. -1/5
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Which property is used to write:3(xy) = (3x)y?
A. Commutative property of multiplication B. Multiplicative inverse property C. Distributive property D. Associative property of multiplication
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In which quadrant do the lines x = 3 and y = -4 intersect?
A. I B. II C. III D. IV
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The value of 2-|-2| is
A. 4 B. 0.25 C. -4 D. -0.25
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If a and b are positive real numbers, then (a0 - 3b0)5 =
A. 0 B. 1 C. -32 D. 32
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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
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The equation mx - 8 = 6 - 7(x + 3) DOES NOT have any solution if m =
A. 3 B. 7 C. -7 D. 0
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The equation - mx + 1 = 13 - 4(x + 3) is an identity if m =
A. 4 B. -4 C. 1 D. -1
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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
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Which of these inequalities has NO solutions?
A. 7x + 4 > 3 B. |x - 1| > -10 C. |x + 3| < -2 D. -100x + 5 ≥ 8
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The lines y = (a - 5)x + 5 and y = -2x + 7 are parallel if a =
A. -2 B. 3 C. 5 D. -5
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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
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