MILC Quadratics Unit
Quadratics Chapter Test with
Post -Test Multiple Choice Questions
NAME: ______
(1)What is a quadratic equation?
(a)An equation that has two terms
(b)An equation that has four terms
(c)An equation that has degree 4
(d)An equation that has degree 2
(2)Use the discriminant to determine how many real solutions exist for the quadratic equation 3x2 + 4x + 2 = 0.
(a)0 solutions
(b)1 solution
(c)2 solutions
(d)3 solutions
(3)Solve x2 + 4x – 32 = 0.
(a){-8, -4}
(b){8, 4}
(c){-8, 4}
(d){8, -4}
(4)Solve x2 + 6x - 15 = -8 by completing the square.
(a){-7, -1}
(b){7, 1}
(c){-7, 1}
(d){7, -1}
(5)Solve the following equation using the quadratic formula: 2x2-5x-7=0.
(a){-7/2, 1}
(b){7/2, -1}
(c){-7/2, 1}
(d){3, -1}
(6)Which is a graph of a quadratic equation?
(a) / (b)(c) / (d)
(7)Using the equation y = (x-1)2 + 4, determine the vertex and axis of symmetry.
(a)Vertex = (-1, 4) and axis of symmetry is y = 1
(b)Vertex = (1, 4) and axis of symmetry is x = 1
(c)Vertex = (4, 2 ) and axis of symmetry is y = -1
(d)Vertex = (4, -1 ) and axis of symmetry is x = 2
(8)A rocket is shot into the air with an initial velocity of 800m/sec. The equation
h = -16t2 + 1440t models the height of the ball. How long does it take for the rocket to hit the ground (h=0)?
(a)16 seconds
(b)800 seconds
(c)90 seconds
(d)1440 seconds
Solve by using the most appropriate method.
Write irrational answers in simplest radical form.
(9)x2 = 25(10)4x2 – 9 = 0
(11)x2 + 8x + 8 = 1(12)2x2 + 12x + 10 = -8
(13)x2 + 7x = 1
Use the value of the discriminant to decide how many real solutions each equation has.
(14)2x2 – 5x – 3 = 0(15)x2 – 4x + 4 = 0
(16)3x2 + 7x + 5 = 0
(17)Volume of a Box:The volume of a box with a square base and a height of 7 in. is 252 cubic in. What is the length of an edge of the base?
(18)Find the vertex of the function as well as the equation for the axis of symmetry.
Write whether it is a least or greatest value of the function.
x2 – 2x – 8 = 0
(19)Find the vertex and axis of symmetry.
Use the vertex and at least four other points to graph the equation.
x2 – 4x + 3 = 0
(20)Describe the differences between a linear and a quadratic function.