# of Terms
Adding and Subtracting Polynomials
English to Math
Properties
100
What type of polynomial is this:
3xy + 6
binomial
100
Add:
(2x^2 + 6x + 5) + (3x^2 - 2x - 1)
5x^2 + 4x + 4
100
If x represents a number, then write an expression for a number that is 7 greater than the number
x+7
100
A teacher asked the class to solve the equation 3(x + 2) = 21. Robert wrote 3(x +6) = 21 as his first step. Which property did he use?
Distributive
200
What type of polynomial is this:
3x^2 - 1y + 3
trinomial
200
Subtract:
(3x - 2) - (-7x + 10)
10x - 12
200
If x represents a number, then write an expression for a number that is 4 less than the number
x-4
200
When solving the equation
4x^2 -16=0
, Laura wrote
4x^2 =16
as her first step. Which property justifies Laura's first step?
Addition Property of Equality
300
What type of polynomial is this:
5
monomial
300
Add:
(20x^2 - 9x^3) + (7x^3 - 10x^4 - 14x^2)
-10x^4 -2x^3 + 6x^2
300
If y represents a number, then write an expression for 2 times the difference of y and 5
2(y-5)
300
Associative Property
400
what type of polynomial is this:
3x^3 + x^2 - 8x + 3
Polynomial
400
Subtract:
(x^2 - y^3 + z) – (-6x^2 - 8y^3 + 15z)
7x^2 + 7y^3 - 14z
400
If x represents a number, then write an expression for the quotient of 1 less than x and double x
(x-1)/(2x)
400
While solving the equation 4(x + 2) = 28, Becca wrote 4x + 8 = 28. Which property did she use?
Distributive
500
What type of polynomial is this:
4x^2 -2
binomial
500
What is the result when (2x+6)^2 is subtracted from
(6x^2 +12)
2x^2 -24x-24
500
If x represents a number, then write an expression for 8 more than one third the number
(1/3)x+8
500
Distributive and Commutative