Solving Equations 1

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Solving Equations 1
Q1. Which of the following equations is NOT
equivalent to 25x2 y2 - 4? (A) 25x2 4
y2 (B) 75x2 3y2 - 12 (C) 25x2 ( y 2)( y -
2) (D) 5x y - 2
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Solving Equations 2
Q2. If , then x (A) -1 (B) 1/3 (C
) 2/3 (D) 2 (E) 3
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Solving Equations 3
Q3. If , then x (A) -3.7 (B) 0.
1 (C) 0.3 (D) 0.5 (E) 2.8
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Solving Equations 4
Q4. If 3 - x 2x - 3 , then 4x
(A) -24 (B) -8 (c) 0 (D) 8 (E) 24
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Solving Equations 5
Q5. What is the value of x2 - y2 ? (A) x - y y
2 (B)
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Solving Quadratic Equations 1
Q1. If x is a number such that x2 - 3x 2 0
and x2 - x - 2 0, what is the value of x
? (A) -2 (B) -1 (C) 0 (D) 1 (E) 2
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Solving Quadratic Equations 2
Q2. If x 2y 1 y - x, what is the value of
x? (1) y2 9 (2) y 3
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Solving Quadratic Equations 3
Q3. If one root of the equation 2x2 3x - k 0
is 6, what is the value of k? (A) 90 (B) 42 (C
) 18 (D) 10 (E) -10
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Solving Quadratic Equations 4
Q4. If , then m could equal (A) -1 (B) 0
(C) 1 (D) 2 (E) 3
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Solving Quadratic Equations 5
Q5. What is the value of n? (1) n(n-1)(n-2)
0 (2) n2 n - 6 0
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Solving Quadratic Equations 6
Q6. Which of the following equations has a root
in common with x2 - 6x 5 0? (A) x2 1
0 (B) x2 - x - 2 0 (C) x2 - 10x - 5
0 (D) 2x2 - 2 0 (E) x2 - 2x -3 0
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Solving Radical Equations
Q1. If x ? 0 and , then, in terms of
y, x (A) 2y (D) (B) y (E) -2y (C)
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Systems of Equations 1
Q1.

• The system of equations above has how many
  solutions?
• None
• Exactly one
• Exactly two
• Exactly three
• Infinitely many

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Systems of Equations 2
Q2. When the integer n is divided by 17, the
quotient is x and the remainder is 5. When n is
divided by 23 the quotient is y and the
remainder is 14. Which of the following is
true? (A) 23x 17y 19 (B) 17x - 23y
9 (C) 17x 23y 19 (D) 14x 5y 6 (E) 5x -
14y -6
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Systems of Equations 3
Q3. What is the value of x? (1) x y 7 (2) x
- y 3 - y
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Systems of Equations 4
Q4. What is the value of x? (1) 3 x y 14
and 2x y 15 (2) 3x 2y 12 2y
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Solving Exponential Equations
Q1. If 82x 3 23x6 , then x
(A) -3 (B) -1 (C) 0 (D) 1 (E) 3
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Solving Inequalities 1
Q1. Is it true that a gt b ? (A) 2a gt 2b (B) a
c gt b c
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Solving Inequalities 2
Q2. Which of the following inequalities is
equivalent to 10 - 2x gt 18 ? (A) x gt
-14 (B) x gt -4 (C) x gt 4 (D) x lt 4 (E) x lt -4
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Solving Inequalities 3
Q3. Which of the following is equivalent to the
statement that 0.5 is between and
? (A) 1 lt n lt 6 (B) 2 lt n lt 3 (c) 2 lt n lt
5 (D) 4 lt n lt 6 (E) n gt 10
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Solving Inequalities 4
Q4. If x is an integer, what is the value of x
? (A) -2( x 5 ) lt -1 (B) -3x gt 9
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Solving Inequalities 5
Q5. If a, b and c are integers, is a - b c
greater than a b - c? (A) b is
negative (B) c is negative