Terms
Which of the following polynomial is in standard form?
(a) x2 + 5x = -6
(b) x2 - x + -1 = 1
(c) x2 + 4 = 0
(d) x2 + 15x + 56 = 0
(d) x2 + 15x + 56 = 0
Solve the following quadratic equation by factoring: x2 -4x - 12.
x = -2, 6
Which of the following equations should you use extracting the root to solve for the variable?
(a) x2 - 81 = 0
(b) x2 + 2x - 8
(c) x2 - 7x = 0
(a) x2 - 81 = 0
Which of the following equations should you use completing the square to solve for the variable?
(a) x2 - 7x - 30
(b) x2 - 16 = 0
(c) x2 + 3x = 2
(c) x2 + 3x = 2
7 and 15
The form x = -b ± √(b2 - 4ac) / 2a is also known as what?
Quadratic Formula
Solve the following quadratic equation by factoring: x2 + 8x = -16.
x = -4
Solve the following quadratic equation by extracting the root: x2 = 121.
x = ± 11.
Solve the following quadratic equation by completing the square: x2 - 6x + 7= 0.
x = 3 ± √2
A sheet of cardboard 10 inches by 12 inches will be made into a box by cutting equal-sized squares from each corner and folding up the four edges. If the area of the base is to be 80 square inches, then what size square should be cut from each corner?
1 inch by 1 inch
Quadratic equations are polynomial equations that have the highest exponent of ____.
(a) 2
(b) 1
(c) 4
(d) 3
(a) 2
Solve the following quadratic equation by factoring: 3x2 = 9x.
x = 0, 3
Solve the following quadratic equation by extracting the root: 3x2 = 6.
x = ± √2
Solve the following quadratic equation by completing the square: x2 + 4x - 9 = 0.
x = -2 ± √13
The area of a rectangle is 75 square centimeters with its length 10 centimeters longer than its width. What is the length of the rectangle (A = lw)?
Length = 15 centimeters
When dealing with a pure quadratic, which of the following variables in standard form is equal to 0?
Standard Form: ax2 + bx + c = 0
(a) a
(b) b
(c) c
(b) b
Why did the boy do his multiplication problems on the floor?
His teacher told him not to use tables.
Solve the following quadratic equation by extracting the root: x2 + 18 = 54.
x = ± 6
Solve the following quadratic equation by completing the square: x2 - 6x - 10 = 0.
x = 3 ± √19
Last year, talent show tickets were sold for $11 each and 400 people attended. It has been determined that an increase of $1 in ticket price would cause a decrease in attendance of 20 people. What ticket price would maximize revenue?
Answer: $15.50
The process of taking a given part of a perfect square and completing it is known as _________ the square.
Completing
Solve the following quadratic equation by factoring: x2 - 14x - 72.
x = -4, 18
Why was the number six so scared?
Solve the following quadratic equation by completing the square: 9x2 - 24x - 8 = 0.
x = 4 ± 2√6 / 3
The area of a rectangle is 405 square meters with its length 12 meters shorter than its width. What are the dimensions of the rectangle (A = lw)?
Length = 15 Meters
Width = 27 Meters