(Algebra Sem. 2) Unit 3 Assignment - 20. Test

Write the quadratic equation in general form and then choose the value of "b."

9

Which of the following describes the translation of the graph of y = x^2 to obtain the graph of y = -x^2 - 3?

reflect over the x-axis and shift down 3

Which of the following statements follows from (x - 3)^2 = 5?

x - 3 = ± √5

If (x + 1)(x - 3) = 5, then which of the following statements is true?

x - 4 = 0 or x + 2 = 0

Which of the following equations has only one solution?

x^2 - 6x + 9 = 0

Which of the following equations is of a parabola with a vertex at (1, 2)?

y = (x - 1)^2 + 2

What is the solution set of 6x^2 - 24 = 0?

{-2, 2}

What is the solution set of 2x 2 + x = 15?

{-3, 5/2}

Which of the following sets could be the sides of a right triangle?

{3, 2, √34}

Find the distance between the points (3, 8) and (-1, 9).

√17

Which of the following points lies on the circle whose center is at the origin and whose radius is 10?

(6, -8)

A ball is dropped from a treetop 256 feet above the ground. How long does it take to hit the ground? (s = 16t^2)

A ball is dropped from a treetop 256 feet above the ground. How long does it take to hit the ground? (s = 16t 2)

Graph y > (x + 2) 2 Click on the graph until the correct graph appears.

The Correct One: Shaded Inside, Dotted Lines

y(y + 4) - y = 6 is a quadratic equation.

True

Write the quadratic equation in general form. What is the value of b^2 - 4ac?

57

Runners in a long distance race start out going 8 kilometers east and then head north for the remainder of the race. The finish line is 10 kilometers from the starting line. How far did the runners travel north?

6 km

The graph of y = ax^2 + bx + c is a parabola that opens up and has a vertex at (-2, 5). What is the solution set of the related equation 0 = ax 2 + bx + c?

∅

Find the length of the hypotenuse of a right triangle whose legs are 3 and √2.

√11

Which of the following points is in the solution set of y < x^2 - x - 6?

(-2, -1)

Find the midpoint of the line segment whose endpoints are (-2, 5) and (4, -9).

(1, -2)

A circle has a diameter with endpoints of (-2, 8) and (6, 4). What is the center of the circle?

(2, 6)

What is the solution set of x^2 + 5x - 5 = 0?

(The Third Choice)

Which of the following constants can be added to x 2 - x to form a perfect square trinomial?

1/4

The line of symmetry for the quadratic equation y = ax^2 - 8x - 3 is x = 2. What is the value of "a"?

2

The length of a rectangle is 3 more than twice the width. The area of the rectangle is 119 square inches. What are the dimensions of the rectangle? If x = the width of the rectangle, which of the following equations is used in the process of solving this problem?

2x^2 + 3x - 119 = 0