Literal Equations
Solve for r.
d=2r
r=d/2
(-2)^2
4
Classify the polynomial by degree and number of terms.
7x^2+5
Quadratic Binomial
How many degrees is this polynomial?
11x^3y^2+13x^7 + -17+12x^5
7
How many feet are in one mile?
5,280
Solve for m.
y = mx+b
m = (y-b)/x
-2^2
-4
Classify the polynomial by degree and number of terms.
2xy^4+7x^3+4y^2
Quintic Trinomial
Is this a polynomial? If it is, classify it by degree and number of terms. If it is not, why is it not a polynomial?
1/x+3
No, it is not a polynomial. There is a variable in the denominator.
(3x^2-4x+5)-(4x-3x^2-5)
6x^2-8x+10
Solve for b.
a=2(b-c)
b=1/2a+c
-(2)^2
-4
Classify the polynomial by degree and number of terms.
7x^4+3x+5x-12
Quartic Trinomial
What is the leading coefficient in standard form?
2a+4ab^2 -7b^2+11ab
4
How many inches are in 4 yards?
144 inches
Solve for y.
w=3x-y
y=3x-w
(-2v)^2
4v^2
Is this a polynomial? If it is, classify it by degree and number of terms. If it is not, why is it not a polynomial?
x^3/2
Yes, it is a polynomial. Cubic Monomial.
Is this a polynomial? If it is, classify it by degree and number of terms. If it is not, why is it not a polynomial?
4xy^2+7x-3xy^-3+13
No, it is not a polynomial. There is a negative exponent on a variable.
Set up the conversion factors to convert 3 yards per minute to feet per second.
(3 yds)/(min) * (3 feet)/(1 yd) * (1 min)/(60 sec) =
Solve for h.
v=1/3pir^2h
h=(3v)/(pir^2)
(-2)^9
-512
Write the polynomial in standard form.
7y+2x^2-3y^3+5xy
-3y^3+2x^2+5xy+7y
How many issues prevent this from being a polynomial? List them.
(-xy)/2+3x^0+2^x-12x^(0.5)
Two. There is a variable as an exponent. There is a variable raised to a non-whole number exponent.
Simplify completely.
(a^2b)/(a^3b^2)
1/(ab)