MILC Quadratics Unit
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) [pic] |(b)[pic] |
|(c)[pic] |(d) [pic] |
(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 800 m/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
{5, -5} {3/2, -3/2}
(11) x2 + 8x + 8 = 1 (12) 2x2 + 12x + 10 = -8
{-1, -7} {-3}
(13) x2 + 7x = 1
[pic]
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
2 1
(16) 3x2 + 7x + 5 = 0
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?
6 inches
(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
Vertex: (1, -9)
Axis of Symmetry: x = 1
Least value
(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
Vertex: (2, -1)
Axis of Symmetry: x = 2
(20) Describe the differences between a linear and a quadratic function.
Linear functions are degree 1; quadratic functions are degree 2.
Graphs of linear functions are lines; graphs of quadratic functions are parabolas.
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