Deck 4: Polynomials

Question 1

Simplify the expression. Write your answer with positive exponents only.

Answer 1

D

Question 2

Simplify.

Answer 2

D

Question 3

Write the word or phrase that best completes each statement or answers the question.
Simplify the expression. Write your answer with positive exponents only.

Answer 3

Question 4

Simplify the expression. Write your answer with positive exponents only.

Question 5

Simplify the expression. Write your answer with positive exponents only.

Question 6

Write the word or phrase that best completes each statement or answers the question.
Write the number in standard notation.

Question 7

Simplify.

Question 8

Simplify.

Question 9

Write the number in scientific notation.
432,000,000

Question 10

Simplify the expression. Write your answer with positive exponents only.

Question 11

Simplify the expression. Write your answer with positive exponents only.

Question 12

Simplify the expression. Write your answer with positive exponents only.

Question 13

Write the number in scientific notation. 0.00000063

Question 14

Complete the property of exponents.

Question 15

Complete the property of exponents.

Question 16

Write the word or phrase that best completes each statement or answers the question.
Simplify the expression. Write your answer with positive exponents only.

Question 17

Complete the property of exponents.

Question 18

Simplify the expression. Write your answer with positive exponents only.

Question 19

Simplify the expression. Write your answer with positive exponents only.

Question 20

Simplify the expression. Write your answer with positive exponents only.

Question 21

Add the polynomials and simplify.

Question 22

Subtract the polynomials and simplify.

Question 23

Choose the polynomial that is described. A trinomial in one variable of degree 3

Question 24

How old (in whole years) is someone that has been alive for days?

Question 25

How many miles (to the nearest hundredth of a mile) is a trip that is inches?

A) 34.72 miles
B) 17.36 miles
C) 8.68 miles
D) 1736.11 miles

Question 26

Choose the polynomial that is described. A monomial in one variable of degree 4

Question 27

Perform the indicated operation and write the answer in scientific notation.

Question 28

Perform the indicated operation, and write your answer in scientific notation. Round the final answer to one decimal place.

Question 29

Write the opposite of the given polynomial.

Question 30

Write the word or phrase that best completes each statement or answers the question.
The earth is abo miles from the sun, and about 2.39 × from the moon. What
percentage of the larger distance is the smaller (to the nearest hundredth of a percent)?

Question 31

Question 32

Write the number in standard notation.

A) 65,000,000
B) 0.000000065
C) 0.0000065
D) 0.00000065

Question 33

Subtract the polynomials and simplify.

Question 34

Find the perimeter.

Question 35

Add or subtract as indicated.

Question 36

Add the polynomials and simplify.

Question 37

Write the polynomial in descending order. Then identify the leading coefficient and the degree.

Question 38

Add the polynomials and simplify.

Question 39

Determine which number is in "proper" scientific notation.

Question 40

Subtract the polynomials and simplify.

Question 41

The function defined by approximates the public debt of the United States in trillions of dollars for the years 1997 to 2004. In the function, t = 7 corresponds to
The year 1997, t = 8 corresponds to 1998, etc. Evaluate P(11) to the nearest tenth of a trillion dollars
And interpret the result in the context of this problem.

A) P(11) = 5.9; the public debt in 2001 was $5.9 trillion dollars.
B) P(11) = 5.3; the public debt in 2001 was $5.3 trillion dollars.
C) P(11) = 62.9; the public debt in 2001 was $62.9 trillion dollars.
D) P(11) = 24.4; the public debt in 2001 was $24.4 trillion dollars.

Question 42

Multiply the polynomials by using the distributive property.

Question 43

Add or subtract as indicated.

Question 44

Question 45

Multiply the polynomials by using the distributive property.

Question 46

Multiply the polynomials by using the distributive property.

Question 47

Question 48

A vacant lot in a housing development is in the shape of a triangle. The smallest side is 31 feet less than the middle side and the larger side is 15 feet less than 4 times the middle side. Find a function
P that represents the perimeter in terms of x, where x represents the measure of the middle side.

A) P(x) = 6x - 46
B) P(x) = 4x - 46
C) P(x) = 5x - 46
D) P(x) = 6x + 16

Question 49

The cost in dollars of producing x fruit baskets is C(x) = 8.5x + 10. The revenue received is R(x) = 24.95x. The profit is the revenue minus the cost. Write and simplify a function P that
Represents the profit.

A) P(x) = -16.45x - 10
B) P(x) = 16.45x - 10
C) P(x) = 16.45x + 10
D) P(x) = 33.45x + 10

Question 50

Multiply the polynomials by using the distributive property.

Question 51

P(-1)

A) 5
B) 0
C) 6
D) 14

Question 52

Determine whether the given function is a polynomial function. If it is a polynomial function, state the degree. If not, state the reason why.

A) No, some range elements correspond to more than one domain element
B) Yes; degree 6
C) Yes; degree 10
D) No; -0.7 is not an integer

Question 53

Multiply the polynomials by using the distributive property.

Question 54

Multiply the polynomials.

Question 55

Add or subtract as indicated. Write the answer in descending order.

Question 56

Multiply the polynomials by using the distributive property.

Question 57

Question 58

Multiply the polynomials by using the distributive property.

Question 59

Write the word or phrase that best completes each statement or answers the question.
Suppose that the number of women, W, to be paid child support in the United States can be approximated
by
W(t) = 147t + 6780
where t is the number of years since the study began, and W(t) is the yearly total measured in
thousands.
a. Evaluate W(0), W(5), and W(10).
b. Interpret the meaning of the function value W(10).

Question 60

Determine whether the given function is a polynomial function. If it is a polynomial function, state the degree. If not, state the reason why.

A) No, absolute value functions do not fit the form of a polynomial function.
B) Yes; degree:0
C) Yes; degree 1
D) Yes; degree: 2

Question 61

Multiply by using the special case products.

Question 62

Translate from English form to algebraic form. The square of the product of 12 and z

Question 63

Translate from algebraic form to English form.

A) The sum of w squared and x squared
B) The square of the sum of w and x
C) The square of the sum of w squared and x squared
D) The sum of the squares of w and x, squared

Question 64

Multiply the expressions.

Question 65

Translate from English form to algebraic form. The cube of the sum of p and q

Question 66

Translate from algebraic form to English form.

A) The product of 9 and the square of a
B) The product of 9 and the cube of a
C) The product of 9 and a, cubed
D) The product of 9 and the cube root of a

Question 67

Simplify the expression.

Question 68

Translate from English form to algebraic form. The cube of v, minus the square of w

Question 69

Multiply by using the special case products.

Question 70

Multiply.

Question 71

(3x + 8) multiplied by what binomial will result in the trinomial ?

A) (4x + 1)
B) (x - 1)
C) (x + 1)
D) (4x - 1)

Question 72

Multiply by using the special case products.

Question 73

Translate from English form to algebraic form. The square of the difference of 2x + y and 8

Question 74

Translate from algebraic form to English form.

A) The sum of n squared and p squared
B) The sum of the squares of n and p, squared
C) The square of the sum of n squared and p squared
D) The square of the sum of n and p

Question 75

Multiply by using the special case products.

Question 76

A rectangular swimming pool has a concrete walk around it of width x. The pool has a length l = 36 feet and a width w = 25 feet (see figure). Find an expression representing the combined area A of the pool
And the walk. Simplify the result.

Question 77

Multiply by using the special case products.

Question 78

Simplify the expression.

Question 79

Multiply by using the special case products.

Question 80

Translate from algebraic form to English form. (m - n)(m + n)

A) The product of the difference between m and n
B) The sum of the product of m minus n and the product of m and n
C) The product of the difference of m and n and the sum of m and n
D) The product of m minus n and the opposite of m minus n