Polynomial Vocabulary
The term without a variable is called the _______
Constant term
The expression w4 - 36 is equivalent to _______
(w2 + 6)(w2 - 6)
Which situation can be modeled by a linear function?
(1) The population of bacteria triples every day.
(2) The value of a cell phone depreciates at a rate of 3.5% each year.
(3) An amusement park allows 50 people to enter every 30 minutes.
(4) A baseball tournament eliminates half of the teams after each round.
(3) An amusement park allows 50 people to enter every 30 minutes.
If f(x) = 4x + 5, what is the value of f(-3)?
-7
The smallest whole number that satisfies the inequality 3x - 1 > 2 is ____
2
The highest exponent of a polynomial is called the _______ of the polynomial
Degree
Written in standard form, the product of (3 + x) and (2x - 5) is
2x2 + x - 15
The expression 3(x + 4) - (2x + 7) is equivalent to
x + 5
A function is defined as K(x) = 2x2 - 5x + 3. The value of K(-3) is
36
3a + 7b > 2a - 8b is solved for a, the result is
a > -15b
The ________ is the coefficient of the term with the highest exponent
Leading coefficient
Students were asked to write 6x5 + 8x - 3x3 + 7x7 in standard form. Shown below are four student responses.
--Anne: 7x7 + 6x5 - 3x3 + 8x
--Bob: -3x3 + 6x5 + 7x7 + 8x
--Carrie: 8x + 7x7 + 6x5 - 3x3
--Dylan: 8x - 3x3 + 6x5 + 7x7
Which student is correct?
Dylan
A high school club is researching a tour package offered by the Island Kayak Company. The company charges $35 per person and $245 for the tour guide. Which function represents the total cost, C(x), of this kayak tour package for x club members?
C(x) = 35x + 245
A relation is not a function if __________ or ___________
the x-values repeat or it fails the vertical line test
The inequality 5 < x - 2 is equivalent to
x > 7
Writing a polynomial in this form will order the terms from highest to lowest exponent
Standard form
Students were asked to write an expression which had a leading coefficient of 3 and a constant term of -4. Which response is correct?
(1) 3 - 2x3 - 4x
(2) 7x3 - 3x5 - 4
(3) 4 - 7x + 3x3
(4) -4x2 + 3x4 - 4
(4) -4x2 + 3x4 - 4
The solution to 3(x - 8) + 4x = 8x + 4 is
x = -28
A grocery store sells packages of beef. The function C(w) represents the cost, in dollars, of a package of beef weighing w pounds. The most appropriate domain for this function would be
(1) integers
(2) rational numbers
(3) positive integers
(4) positive rational numbers
(4) positive rational numbers
The inequality 9 - 4x < 3x - 5 is equivalent to
x > 2
Polynomials with one term, two terms, and three terms are called ______, ______, and ________
Monomials (1), binomials (2), and trinomials (3)
When written in factored form, 4w2 - 11w - 3 is equivalent to
(1) (2w + 1)(2w - 3)
(2) (2w - 1)(2w + 3)
(3) (4w + 1)(w - 3)
(4) (4w - 1)(w + 3)
(3) (4w + 1)(w - 3)
Nicci’s sister is 7 years less than twice Nicci’s age, a. The sum of Nicci’s age and her sister’s age is 41. Which equation represents this relationship?
(1) a + (7 - 2a) = 41
(2) a + (2a - 7) = 41
(3) 2a - 7 = 41
(4) a = 2a - 7
(2) a + (2a - 7) = 41
Given: f(x) = (x - 2)2 + 4
g(x) = (x - 5)2 + 4
When compared to the graph of f(x), the graph of g(x) is shifted _____ units to the _______
3 units to the right
Solve algebraically for y:
4(y - 3) < 4(2y + 1)
y > -4