Classifying
Add/Subtract
Multiplying/Dividing
Factor
Solve Equations
100
Classify the following by the number of terms.
7x + 8x^2 + 6
Trinomial
100
Simplify:
5x + 6 + 10x =
15x + 6
100
Find the product
(7x - 3)(2x + 5)
14x^2 + 29x - 15
100
What is the GCF between 12, 36, and 30?
6
100
Solve the equation.
(x + 5)(x - 2) = 0
x = -5 and 2
200
What is the degree of the monomial?
a^5bc^9
15
200
Find the sum
(-8x - 12) + (9x + 4)
x - 8
200
Find the quotient.
(16x^4 + 8x^2 + 12x)/(4x)
4x^3 + 2x + 3
200
Factor out the GCF for the polynomial:
9x^2 + 18x + 6
3(3x^2 + 6x + 2)
200
Solve the equation:
-4x(x + 8)(x - 1) = 0
0, -8, and 1
300
What is the leading coefficient?
5x^2 - 4x + 2x^4 - 7
2
300
Find the difference:
(d - 9) - (3d - 1)
-2d - 8
300
Find the product:
(3x - 4)(3x + 4) =
9x^2 - 16
300
Factor the polynomial
5n^6 + 2n^5 + 3n^3
n^3(5n^3 + 2n^2 + 3)
300
Solve the equation:
(3x + 8)(3x - 8) = 0
-8/3 and 8/3
400
What is the degree?
5x - 10 + x^3
3
400
Find the sum:
(-3p^3 + 5p^2 - 2p) + (-p^3 - 8p^2 - 15p)
-4p^3 -3p^2 - 17p
400
Find the product:
(3x + 7)^2
9x^2 + 42x + 49
400
Solve:
3x^2 + 21x = 0
x = -7 and 0
500
Place in Standard Form, then state the leading coefficient, degree, and classify by the number of terms.
-3x^2 + 7x - 2x^4 - 5
LC: -2 D: 4 Polynomial
-2x^4 - 3x^2 + 7x - 5
500
Find the difference:
(k^3 -7k + 2) - (k^2 - 12) =
k^3 - k^2 -7k + 14
500
Find the product:
(2x - 9)(3x^2 - 4x + 6)
6x^3 - 19x^2 + 48x - 54
500
You can model the arch of a building entrance using the equation below. The x and y are measured in feet. The x-axis represents the ground. Find the width of the arch.
-1/3(x + 6)(x - 6)
12 feet
600
The formula for the volume of a cone is below. State the degree and why it is a monomial.
V = 1/3pir^2
Degree is 2. It is a monomial because there is only one term.
600
A toy rocket is launched from the top of a 100 feet building at a rate of t^2 + 40t. Another rocket is launched from the ground at t^2 + 50t. What is the distance between them after 3 seconds?
70 feet
600
What is the area of the shaded region?
x^2 + 29x + 39