Exponent Rules
Classifying Polynomials
Adding & Subtracting Polynomials
Random Skills
Polynomial Applications
100
Use the product rule for exponents to multiply:
x^3*x^2
x^5
100
Determine the degree of the following polynomial:
-3x^2+5x-1
Degree: 2
100
Simplify the following expression:
4x^2+4+19x^2-7
23x^2-3
100
In what year was Preston founded?
1947
100
Recall that the perimeter of a figure is the sum of all the lengths of the sides. Determine the perimeter of the triangle and write the answer in standard form.
2x^2+9x+2
200
Use the quotient rule for exponents to divide:
(xy^5)/(xy^3)
y^2
200
Is the following expression a monomial, binomial, or polynomial?
2xy-3x^2y
Binomial
200
Add the following polynomials. Write your final answer in standard form.
(13x^2-2x+1)+(9x^2y-7)
22x^2-2x-6
200
Multiply the polynomials. Write your final answer in standard form.
(9x)(6x+2)
54x^2+18x
200
Recall that the perimeter of a figure is the sum of all the lengths of the sides. Determine the perimeter of the figure in terms of z. Write your final answer in standard form.
90z+176
300
Use the power rule to simplify:
(4x^3)^2
16x^6
300
Write the following equation in standard form.
-4x^4+3x^2-x+4-3x^2+10x^3
-4x^4+10x^3-x+4
300
Subtract the following polynomials. Write your final answer in standard form.
(10x-5)-(8x+1)
2x-6
300
Where might you find Preston's library?
2nd floor of the mansion
300
Find the area of each figure in terms of x. Then, write a simplified polynomial to represent the sum of these areas. 
5x^2+24x
400
Use the quotient rule and the negative exponent rule to simplify:
(2x^2)/(8x^5)
(1)/(4x^3)
400
What does it mean to write a polynomial in standard form?
Standard form of a polynomial is a way of writing a polynomial where the terms are arranged in descending order of degree.
400
Subtract the following polynomials. Write your final answer in standard form.
(3x+2)-(11x-6)
-8x+8
400
What is Preston's address?
2780 Schurz Avenue
400
Jamie is designing a rectangular garden and wants to express its area using a polynomial. The length of the garden is represented by the polynomial 2x+3 (in feet), and the width is represented by x−1 (in feet).
Write an expression that would represent the area of Jamie's garden. Bonus 50 points if you calculate the area in terms of x.
(2x+3)(x-1)
x^2+x-3
500
Use the exponent rules to simplify:
((x^3y^4)^3)
x^9y^12
500
Create a polynomial that represents the following:
Jamie is planting a flower that at the time of being planted is 5 inches tall. The plant grows .5inches per week. Create a mathematical model that shows the height, y, of the plant in any given week, x, after planting the flower.
y = .5x + 5.
500
Subtract the following polynomials. Write your final answer in standard form.
(x^2-x+4)-(x^2+x-2)
-2x+6
500
Multiply the polynomials. Write your final answer in standard form.
(2x-5)(3x^2-x)
6x^3-17x^2+5x
500
Determine the area of the shaded region.
66x^3+40x^2+24x