Algebraic Definitions
Polynomials
Systems of Equations
Exponents
Factoring
100
What does a dashed line on a graph mean?
A dashed line signifies that it's less than or greater than.
100
Identify the leading coefficient and the degree in the following polynomial: 3x+2-2x^2
Leading coefficient: -2 Degree: Quadratic
100
Use the process of elimination: 2y-x=-1 2y+3x=27
y=3 x=7
100
Find the product: (10^2)^3
10^6
100
Factor:3x^2+4x+1
(3x+1)(x+1)
200
Describe the graph of a system of linear equations that has infinite solutions.
Lines would be "on top" of each other on the "same line".
200
Classify the polynomial by degree and number of terms: x^4+2
Degree: 4th Number of terms: Binomial
200
Use substitution: 2x+y=9 y=3x-1
x=2 y=5
200
Find the product: 2(3a^2)^3
6^3a^6
200
Factor: x^2-9
(x-3)(x+3)
300
Describe the graph of a system of linear equations that has no solutions.
Lines would be parallel.
300
Classify the polynomial by degree and number of terms: 67
Degree: Constant Number of terms: Monomial
300
use substitution: y=x-9 3x+y=7
x=4 y=-5
300
Find the product: (8n^2p)^3
8^3n^6p^3
300
Factor: x^2+5x+6
(x+3)(x+2)
400
Describe the graph of a system of linear equations that has one solution.
Lines would intersect at a point (the solution).
400
Classify the polynomial by degree and number of terms: x^3+2x^2-7x+1
Degree: Cubic Number of terms: Polynomial
400
Use elimination: 6x-3y=15 2x+y=15
x=5 y=5
400
Find the product: (xy)^2(x^2y^2)^2
x^6y^6
400
Factor: 2x^5-3x^4+5x^3
x^3(2x^2-3x+5)
500
What is the meaning of life?
42.
500
Classify the polynomial by degree and number of terms: x^2-3x+25
Degree: Quadratic Number of terms: Trinomial
500
Use elimination: 3x-2y=2 4x+6y=20
x=2 y=2
500
(3x/4x^2)^2
9/16
500
Factor: 25x^5-10x^4+15x^2
5x^2(5x^3-2x^2+3)
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