What is a number, variable, or the product or quotient of a number with one or more variables?
term
100
suppose you have $200. sweaters cost $45 each. What is the greatest number of sweaters you can buy?
4 sweaters= $180
100
A circular table is painted yellow with a red square in the middle. The radius of the tabletop is 6x. The side length of the red square is 3x. What is the area of the yellow part of the tabletop? Write your answer in factored form.
25x²(9-3.14)
200
add (-7.1x²-180x+5800) + (21x²-140x+1900)
13.9x²-320x+7700
200
what is a polynomial of two terms
a binomial
200
A laundromat charges $2.25 to wash one load of cloths and $1.75 to dry one load. The machines accept only quarters. To wash and dry one load of cloths. How many quarters would you need?
12
200
A rectangle has length x+5 and width of x-3. What is the area of the retangle? Write your as a polynomial in standard form?
x²+2x-15
300
how many terms are there 5x²+9x³+4+12x²
4
300
what is the monomial or the sum or difference of two or more monomials?
polynomial
300
The number of students at east high and the number of students at central high over a 10 year period can be modeled by the following polynomials. East -11x²+133x+1200 and for central high -7x²+95x+1100. in each polynomial, x=0 this corresponds to the first year in the 10 year period. What polynomial models the total number of students at both high schools?
-18x²+228x+2300
300
Explain how to use FOIL method to find the product of two binomials?
Find the sum of the products of the FIRST terms, OTTER terms, INNER terms and last terms
400
name the polynomial based on its degree 4x²+7x+3
Quadratic trinomial
400
what is a polynomial with three terms
trinomial
400
a rectangular prism has a volume of 36x³+36x²+8x. What expressions can represent the dimensions of the prism. Use factoring.
3x+1 and 3x+2
400
Simplify(3x+8)(x+1) using a table, the distributive property, and the foil method. Which method is the most efficient? explain.
3x²+11x+8
500
What is the degree of 8x³+3x+7
3
500
what is a real number, a variable, or a product of a real number and one or more variables with whole number exponents
monomial
500
A square green rug has a blue square in the center. The side length of the blue square is X inches. The width of the green band that surrounds the blue square is 6 in. What is the area of the green band?
36-x² (in.²)
500
How is the degree of the product of two polynomials p(x) and q(x) related to the degrees of p(x) and q(x)?
The degree of the product is the sum of the degrees of the two polynomials