Math Mcqs
- What are the two solutions to the quadratic equations 2 x2 + 3x - 2 = 0?
A) -2 , 3
B) -2 , -1/2
C) 2 , -1/2
D) -2 , 1/2
E) -1/2 , -2 - What is the sum of the two solutions to the quadratic equation (x + 4)(x - 3) = 7
A) -1
B) -2
C) 1
D) 2
E) 3 - What is the product of the two solutions to the quadratic equation (x - 2)(x - 6) = -3
A) 12
B) -12
C) 15
D) -3
E) 3
- Find all values of m for which the quadratic equation x2 + 2 x - 2 m = 0 have no real solutions.
A) m = 0
B) m = -2
C) m < - 4
D) m = 1 / 2
E) m < -1 / 2 - Find all values of m for which the quadratic equation 2x2 + 3 x - m + 2 = 0 have two distinct real solutions.
A) m > 0
B) m = 7
C) m > 7 / 8
D) m < -7 / 8
E) m = 7 / 8 - Which of these quadratic equations has two real solutions greater than zero?
A) x2 + x = 0
B) 2 x2 - 10 x = 28
C) - x2 + 4 x + 5 = 0
D) -3 x2 - 9 = - 12 x
E) -3 x2 - 6 x + 24 = 0 - Which of these quadratic equations has two real solutions whose product is greater than zero?
A) - x2 - 2x = - 8
B) x2 + 9 x = - 18
C) - x2 = - 6 + x
D) x2 = 4 x
E) x2 - 3 x = 4 - a and b in the quadratic equation x2 + ax + b = 0 are real numbers. Find a and b so that the given equation has two solutions x = -1/4 and x = 1/2.
A) a = - 1 / 4 , b = - 1 / 8
B) a = - 1 , b = - 1
C) a = 1 / 4, b = -1
D) a = 1 / 4, b = 1 / 8
E) a = 4, b = 8 - a and b in the quadratic equation - x2 + ax + b = 0 are real numbers. Find a and b so that the given equation has two solutions whose sum is equal to 6 and whose product is equal to 8.
A) a = 6 , b = 8
B) a = -6 , b = 8
C) a = 8 , b = -6
D) a = 6 , b = -8
E) a = -8 , b = 6 - Which of these pairs of quadratic equations have the same solutions?(equivalent equations)
A) x2 - 1 = 0 and x2 = - 1
B) - x2 + x = - 6 and x2 - 2x = 3
C) x2 - 5x + 6 = 0 and - x2 - 5x - 6 = 0
D) x2 = 2x and x2 + 2x = 0
E) x2 + x - 2 = 0 and - 2 x2 -2x + 4 = 0
- D
- A
- C
- E
- C
- D
- B
- A
- D
- E
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