Algebra Review
The questions below represent a selection of important algebraic topics . You
will
probably need to do some written work before choosing your final answer. Note: A
calculator is not necessary and should not be used.
Laws of Exponents
Evaluating, Factoring , Simplifying
5 If a = 2 and b = -3, then
8 What number must be added to 9x2 + 9x to form a perfect square?
10 Which of the following are the roots of x 2 - 5x - 2 = 0?
Inequalities and Absolute Value
12 The inequality |x - 4| > 3 is equivalent to
13 The inequality x 2 - 2x < 8 is equivalent to
14 The inequality |1 - 2x| < 9 is equivalent to
Linear Equations and Graphs
15 In the system of equations
16 In a room with 35 men, 80% of the occupants are women. How many women
are in the room?
(A) 28 (B) 63 (C) 105 (D) 140 (E) 175
17 For what value of t does
(E) There is no value of t that satisfies
this equation .
18 The figure below is a portion of the line whose equation is
20 A line L passes through the point (-1, 3) and is perpendicular to the line
with
equation y = 4x + 2. An equation for L is
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