# Free GMAT Practice Problems on Quadratic Equations

with Solutions Sample 3

A set of 10 problems on quadratic equations similar to the GMAT problem solving, with detailed solutions similar to the questions in the GMAT test.
## Question 1Solve the equation x^{2} + 5x = - 6 for x.
A) x = 2 and x = 3 B) x = - 2 only C) x = - 2 and x = - 3 D) x = - 3 only E) No solutions ## Question 2Find the values of the constants k and m so that the equation 2 x^{2} + kx - m = 0 has solutions at x = 1 and x = -2.
A) k = 1 and m = - 2 B) k = - 2 and m = - 4 C) k = 2 and m = 0 D) k = 2 and m = 4 E) k = 0 and m = 4 ## Question 3Solve the equation (x - 1)(x + 3) = (1 - x) for x.A) x = 1 and x = - 3 B) x = 1 and x = - 4 C) x = 1 and x = 4 D) x = 1 and x = 0 E) x = 1 and x = 3 ## Question 4Solve the equation 2 - (x - 2)^{2} = - 18 for x.
A) x = - 2 + 2 √5 and x = - 2 - 2 √5 B) x = 2 √5 and x = - 2 √5 C) x = 20 and x = -20 D) x = √5 and x = - √5 E) x = 2 + 2 √5 and x = 2 - 2 √5 ## Question 5Find a positive value of the constant k so that the equation x^{2} + k x + 4 = 0 has only one solution.
A) 4 B) 3 C) 2 D) 1 E) -2 ## Question 6If x = 2 is a solution to the equation (m + 2)x^{2} = 16, where m is a constant, then what is the second solution of this equation?
A) x = 3 B) x = - 3 C) x = - 2 D) x = - 4 E) x = 0 ## Question 7If x = - 2 is a solution to the equation (1/2) a x^{2} + 3x - 4 = 0, where a is a constant, then what is the second solution of this equation?
A) x = 4 / 5 B) x = 4 C) x = 5 / 4 D) x = 5 E) There is no second solution ## Question 8Find the values of the constants b and c so the equation x^{2} + bx + c = 0 has solutions at x = 2 and x = -1.
A) b = 2 and c = - 1 B) b = - 2 and c = 1 C) b = 2 and c = 2 D) b = 1 and c = 0 E) b = -1 and c = -2. ## Question 9X and Y are two real numbers such that X + Y = 11 / 5, X · Y = 2 / 5 and X is greater than 1. Find X and Y.A) X = 1 / 5 and Y = 10 B) X = 2 and Y = 1 / 5 C) X = 2 and Y = 2 / 5 D) X = 3 / 5 and Y = 1 / 5 E) X = 10 and Y = 1 / 5 ## Question 10The sum of a number x, such that x is greater than 1, and its reciprocal is equal to 10 / 3. Find x.A) x = 6 B) x = 1 / 3 C) x = 10 D) x = 3 E) x = 13 More Math Practice Tests Free Practice for GAMT Math tests Free Compass Math tests Practice Free Practice for SAT, ACT Math tests Free GRE Quantitative for Practice Free AP Calculus Questions (AB and BC) with Answers |