22
Solving Equations 1 Q1. Which of the following equations is NOT equivalent to 25x 2 = y 2 - 4? (A) 25x 2 + 4 = y 2 (B) 75x 2 =3y 2 - 12 (C) 25x 2 = ( y + 2)( y - 2) (D) 5x = y - 2
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
Solving Equations 2
Q2. If , then x =
(A) -1
(B) 1/3
(C) 2/3
(D) 2
(E) 3
xx1
21
1
Solving Equations 3
Q3. If , then x =
(A) -3.7
(B) 0.1
(C) 0.3
(D) 0.5
(E) 2.8
52.0
5.1 x
Solving Equations 4
Q4. If 3 - x = 2x - 3 , then 4x =
(A) -24
(B) -8
(c) 0
(D) 8
(E) 24
Solving Equations 5
Q5. What is the value of x2 - y2 ?
(A) x - y = y + 2
(B)yx
yx
1
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
Solving Quadratic Equations 2
Q2. If x + 2y + 1 = y - x, what is the value of x?
(1) y2 = 9
(2) y = 3
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
Solving Quadratic Equations 4Q4. If , then m could equal
(A) -1
(B) 0
(C) 1
(D) 2
(E) 3
13
32mm
Solving Quadratic Equations 5
Q5. What is the value of n?
(1) n(n-1)(n-2) = 0
(2) n2 + n - 6 = 0
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
Solving Radical EquationsQ1. If x 0 and , then, in terms of y, x =
(A) 2y (D)
(B) y (E) -2y
(C)
244 yxyx
yy41
4 2
2y
Systems of Equations 1
Q1.622
3
yx
yx
The system of equations above has how many solutions?
(A) None
(B) Exactly one
(C) Exactly two
(D) Exactly three
(E) Infinitely many
Systems of Equations 2Q2. 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
Systems of Equations 3
Q3. What is the value of x?
(1) x + y = 7
(2) x - y = 3 - y
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
Solving Exponential Equations
Q1. If 82x + 3 = 23x+6 , then x =
(A) -3
(B) -1
(C) 0
(D) 1
(E) 3
Solving Inequalities 1
Q1. Is it true that a > b ?
(A) 2a > 2b
(B) a + c > b + c
Solving Inequalities 2
Q2. Which of the following inequalities is equivalent to
10 - 2x > 18 ?
(A) x > -14
(B) x > -4
(C) x > 4
(D) x < 4
(E) x < -4
Solving Inequalities 3
Q3. Which of the following is equivalent to the statement that 0.5 is between and ?
(A) 1 < n < 6
(B) 2 < n < 3
(c) 2 < n < 5
(D) 4 < n < 6
(E) n > 10
n2
n3
Solving Inequalities 4
Q4. If x is an integer, what is the value of x ?
(A) -2( x + 5 ) < -1
(B) -3x > 9
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