Vocabluary
Concepts...
Math Problems
World Problems
Misc.
100
What is a product of a real number and one or more variables with whole-number exponents?
Minomial
100
How do you multiply powers with the same base?
Add the exponents.
100
Find the degree of 8a^3.
3
100
A reasearcher studied the number of overnight stays in US national park serivice camp grounds and in the back country of the national park system over a six year period. A reasearcher modeled the results in the thousands with the following polynomials: Campgrounds: -9.1x^3-180x^2+5907 Back country: 24x^3-100x^2+2007 What polynomial models the total number of overnight stays in both campgrounds and back country?
14.9x^3-280x^2+7914
100
What tells you how many times you multiply the base by itself?
Exponent
200
A minomial or a sum of minomials
Polynomial
200
How do you raise a power?
Multipy the exponents.
200
Factor 4x-24x^3+8x
4x(x^4-6x^2+2)
200
The radius of Mars is 3.4 X10^3 km. What is the approximate diameter of Mars? Write in scientific notation.
6.8 X 10^3
200
Simplify (b^3)^5
b^15
300
The sum of the exponents of its variables.
Degree of a monomial
300
How do you divide powers with the same base?
Subtract the exponents.
300
what is the sum of 3x^2+5x^2
8x^2
300
The human body produces about 2 X 10^6 red blood cells a day. Write that in standard form.
200000
300
What is any trinomial of the form a^2 + 2ab + b^2 or a^2 - 2ab + b^2
Perfect square trinomial
400
Definiton of base
A number that is multiplied repeatedly.
400
What concept is this: (5^4)^2 = 54.2 = 5^8
Raising a power to a power.
400
Simplify c^12/c^9
c^3
400
If the side length of a square can be represented by the expression 4x^2y^6, which expression could represent the area of a square?
-16x^4y^12
400
Square the binomial: (x+9)^2
x^2 + 18x + 18
500
Defintion of Power
The base and the exponent of an expression of the form a^2
500
What concept is: 2^6/2^2 = 2^6-2 = 24
Dividing powers with the same base.
500
What is 52,300,000 in scientific notation?
5.23 X 10^7
500
The volume of a large cube is 7.506 X 10^5 mm. Write the volume in standard form.
-7.506000
500
What is it called when you group the terms in pairs, factored the GCF from each pair and look for a common binomial factor?
Factoring by grouping