Perfect Squares
Differences of Squares
Problem Solving
Mixed Review
How well do you know Disneyland?
100
Solve (a - 5)2 = 64
a = -3, 13
100
Factor t2 - 81u2
(t - 9u)(t + 9u)
100
The polynomial s3 - 70s2 + 1500s - 10,800 models the profit a company makes on selling an item at a price s. A second item sold at the same price brings in a profit of s3 - 30s2 + 450s - 5000. Write a polynomial that expresses the total profit from the sale of both items.
2 (s3-50 s2+975 s-7900)
100
Simplify: -3g(7g - 2) + 3( g2 + 2g + 1) - 3g(-5g + 3)
-3(3g2+ 3g + 1)
100
What is the one snack food item that you will never find for sale on Walt Disney World property?
What is gum?
200
Factor 16x2 - 32x + 15
(4x - 5)(4x - 3)
200
Factor: 6 - 54a2
6(1 - 3a)(1 + 3a) OR 6(3a - 1)(3a + 1)
200
Let x be an integer. What is the product of twice the integer added to three times the next consecutive integer?
5x + 3
200
Solve: u(u - 5) + 8u = u(u + 2) - 4
u = -4
200
When Disneyland opened, where was the only place you could get a take-out tuna sandwich?
What is The Chicken of the Sea Pirate Ship?
300
x2 + 12x + 36 = 25
x = -11, -1
300
Solve: 18a2 = 8
x = 1, -1
300
The area of a rectangle is 84 square inches. Its length and width are both whole numbers. What are the minimum and maximum perimeters of the rectangle?
Minimum: 38 Maximum: 170
300
Find the product: (2v2 + 3x2)(2v2 + 3x2)
4v4 + 12v2x2 + 9x4
300
In which Disney attraction can you hear this recorded phrase ..Kindly watch your step please. Watch your step?
What is The Haunted Mansion?
400
16x2 + 24x + 9 = 25
x = -2, 1/2
400
3x4 + 6x3 - 3x2 - 6x
3x(x + 2)(x - 1)(x + 1)
400
Bill Nye's science class launched a toy rocket from ground level with an initial upward velocity of 60 feet per second. The height h of the rocket in feet above the ground after t seconds is modeled by the equation h = 60t - 16t2. How long was the rocket in the air before it returned to the ground?
x = 15/4
400
Find the DIFFERENCE: (6f2 - 7f - 3) - (5f2 - 1 + 2f) - (2f2 - 3 + f)
-f2 - 10f + 1
400
In Pirates of the Caribbean, what three things are the pirates in jail holding to entice the dog holding the jail cell keys?
What are a cup, a bone and a piece of rope
500
g2 + (2/3)g + (1/9) = 0
x = -(1/3)
500
Solve: (1/25)x2 - 16 = 0
x = 20, -20
500
Mr. Cooper contested a speeding ticket given to him after he applied his brakes and skidded to a halt to avoid hitting another car. In traffic court, he argued that the length of the skid marks on the pavement, 150 feet, proved that he was driving under the posted speed limit of 65 miles per hour. The ticket cited his speed at 70 miles per hour. Use the formula (1/24)s2 = d, where s is the speed of the car and d is the length of the skid marks, to determine Mr. Cooper’s speed when he applied the brakes. Was Mr. Cooper correct in claiming that he was not speeding when he applied the brakes?
Mr. Cooper's speed: 60 miles per hour He is correct.
500
Solve: 4(8n + 3) - 5 = 2(6n + 8) + 1
So easy ahh Ansah issss: n = 1/2 or 0.5
500
In what attraction could or can you hear the phrase "We want the redhead"?
What is Pirates of the Caribbean?
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