MILC Quadratics UnitQuadratics Chapter Test withPost -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 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

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 = 1Least 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.