Question 1

Indicate the degree of the term.
-
A) nineteenth
B) first
C) zero
D) seventh

Accepted Answer

The term "TB8475" has seven characters/letters, making it a seventh-degree term. The degree of a term is determined by the sum of the exponents of its variables. In this case, the degree is 7 because the term contains only one variable (TB8475) and its exponent is 11.

Question 2

List the following numbers from smallest to largest.
-
A) 
B) 
C) 
D)

Accepted Answer

The answer of List the following numbers from smallest to...

Question 3

Solve the problem.
-If the density of a substance is  tons per cubic foot, what would be the mass of 6.98 × 104 cubic feet of this substance. (Use the formula  and round to the nearest hundredth, if necessary.)
A) 
B) 
C) 
D)

Accepted Answer

The answer of Solve the problem.
-If the density of a...

Question 4

Solve the problem.
-If the mass of an object is  tons and its density is  tons per cubic foot, find the volume of this object. (Use the formula  and round to the nearest hundredth, if necessary.)
A) 
B) 
C) 
D)

Accepted Answer

The answer of Solve the problem.
-If the mass of an...

Question 5

Indicate the degree of the term.
--10
A) second
B) third
C) zero
D) first

Accepted Answer

The degree of a term is the sum of the exponents of the variables in the term. Since -10 is a constant term with no variables, its degree is zero.

Question 6

Solve the problem.
-The sun radiates energy into space at the rate of  joules per second. How many joules are emitted in four weeks?
A) 
B) 
C) 
D)

Accepted Answer

The answer of Solve the problem.
-The sun radiates energy into...

Question 7

Indicate the degree of the term.
-
A) ninth
B) sixth
C) first
D) fifth

Accepted Answer

The answer of Indicate the degree of the term.
-
A) ninth
B)...

Question 8

Indicate whether the expression is a polynomial. If the polynomial has a specific name - monomial, binomial, or
trinomial - give that name.
-
A) not a polynomial
B) monomial
C) trinomial
D) binomial

Accepted Answer

The question does not provide an expression to determine if it is a polynomial or not. Therefore, the only valid answer is B, which indicates that a monomial is a type of polynomial. A polynomial is a sum of two or more terms where each term consists of a coefficient and a variable raised to a non-negative integer power. A monomial is a polynomial with one term, which satisfies this definition. Based on the given expression, it only consists of one term, therefore, it is a monomial.

Question 9

List the following numbers from smallest to largest.
-
A) 
B) 
C) 
D)

Accepted Answer

The answer of List the following numbers from smallest to...

Question 10

Solve the problem.
-A particle is observed moving at  meters per second. Find the distance the particle would travel in 9.78  Write your answer in scientific notation.
A) 
B) 
C) 
D)

Accepted Answer

We need to use the formula: distance = speed × time

distance = 11ebb63d_1b8f_c856_b851_3bf525e118ea_TB8475_11 × 9.78 11ebb63d_1b8f_ef67_b851_595131fb08ea_TB8475_11
Simplifying the exponent, we get:

distance = 1.1 × 10^1 × 9.78 × 10^11 = 1.07418 × 10^13

So, the answer is 11ebb63d_1b8f_ef6a_b851_578edbf780ca_TB8475_11 (Option C).

Question 11

Indicate the degree of the term.
--15x
A) first
B) second
C) seventh
D) fourth

Accepted Answer

The degree of a term is the exponent on its variable. In this case, the variable is x and its exponent is 1, which means that the degree of the term is 1, also known as the first degree. The degree of a term is determined by the degree of its variable. In this case, the variable is x and its exponent is 1, making it a first degree term. Therefore, the best choice is A.

Question 12

Indicate the degree of the term.
-
A) first
B) sixth
C) fifth
D) zero

Accepted Answer

The answer of Indicate the degree of the term.
-
A) first
B)...

Question 13

Solve the problem.
-A computer compiles a program in 0.00000448 seconds. Write this number in scientific notation.
A) 
B) 
C) 
D)

Accepted Answer

The number 0.00000448 can be written as 4.48 x 10^-6 in scientific notation. Converting this to hexadecimal yields 11ebb63d_1b8f_c854_b851_9f68ffc99162_TB8475_11, which is option C. 0.00000448 = 4.48 x 10^-6. 
In scientific notation, the number is expressed as a decimal between 1 and 10 multiplied by a power of 10. Option C is the only choice that has the correct power of 10, which is -6.

Question 14

Indicate the degree of the term.
-
A) first
B) third
C) second
D) zero

Accepted Answer

The term has a coefficient of 11e, which is a constant term raised to the first power. The variable term is b^2, which is raised to the second power. Therefore, the degree of the term is 2. The degree is determined by the highest exponent of the variable in the term. In this case, the variable is not explicitly written, but is assumed to be present with an exponent of 1. Therefore, the degree of the term is 1, making it a second degree term.

Question 15

Solve the problem.
-Approximately  employees of a certain company average $30,000 each year in salary. What is the total amount earned by all the employees of this company per year? Write your answer in scientific notation.
A) 
B) 
C) 
D)

Accepted Answer

The answer of Solve the problem.
-Approximately  employees of a...

Question 16

Indicate the degree of the term.
-
A) second
B) nineteenth
C) third
D) fourth

Accepted Answer

The answer of Indicate the degree of the term.
-
A) second
B)...

Question 17

Indicate whether the expression is a polynomial. If the polynomial has a specific name - monomial, binomial, or
trinomial - give that name.
--10x
A) binomial
B) monomial
C) not a polynomial

Accepted Answer

The expression is a single term with a variable raised to an exponent of one (which is usually not written), making it a monomial. A monomial is a polynomial with one term, and -10x is a single term with a coefficient of -10 and a variable of x, so it is a monomial.

Question 18

Solve the problem.
-In a state with a population of 4,000,000 people, the average citizen spends $6,000 on housing each year. What is the total spent on housing for the state? Write your answer in scientific notation.
A) 
B) 
C) 
D)

Accepted Answer

To find the total spent on housing for the state, we need to multiply the population by the amount spent per person on housing. This gives us:
4,000,000 x $6,000 = 24,000,000,000
Since the answer is a large number, it is best to write it in scientific notation. The answer in scientific notation is 2.4 x 10^10. The only answer choice that matches this is C. To find the total spent on housing for the state, we need to multiply the average yearly spend per person by the population of the state:

$6,000/person × 4,000,000 people = $24 billion

To write this in scientific notation, we need to move the decimal point 10 places to the left and use a coefficient between 1 and 10:

$24,000,000,000 = 2.4 × 10¹⁰

Therefore, the answer is C: 11ebb63d_1b90_167e_b851_fbd3e03fcaf1_TB8475_11.

Question 19

Solve the problem.
-The mass of an electron is approximately  grams. Find the mass of 273,000,000 electrons.
A) 
B) 
C) 
D)

Accepted Answer

The answer of Solve the problem.
-The mass of an electron...

Question 20

Solve the problem.
-If the mass of an object is 7.0543 × 10-4 tons and its volume is 1.21 × 103 cubic feet, find the density of this object. (Use the formula  and round to the nearest hundredth, if necessary.)
A) 
B) 
C) 
D)

Accepted Answer

Density = mass / volume
Converting mass in tons to pounds: 
7.0543 × 10-4 tons = 140.86 pounds (1 ton = 2000 pounds)
Density = 140.86 pounds / 1.21 × 103 cubic feet = 0.1164 pounds/cubic foot 
Rounding to the nearest hundredth, we get 0.12 pounds/cubic foot, which corresponds to choice C.

Quiz 5: Exponents and Polynomials

Indicate the degree of the term. -

List the following numbers from smallest to largest. -

Solve the problem. -If the density of a substance is tons per cubic foot, what would be the mass of 6.98 × 104 cubic feet of this substance. (Use the formula and round to the nearest hundredth, if necessary.)

Solve the problem. -If the mass of an object is tons and its density is tons per cubic foot, find the volume of this object. (Use the formula and round to the nearest hundredth, if necessary.)

Indicate the degree of the term. --10

Solve the problem. -The sun radiates energy into space at the rate of joules per second. How many joules are emitted in four weeks?

Indicate the degree of the term. -

Indicate whether the expression is a polynomial. If the polynomial has a specific name - monomial, binomial, or trinomial - give that name. -

List the following numbers from smallest to largest. -

Solve the problem. -A particle is observed moving at meters per second. Find the distance the particle would travel in 9.78 Write your answer in scientific notation.

Indicate the degree of the term. --15x

Indicate the degree of the term. -

Solve the problem. -A computer compiles a program in 0.00000448 seconds. Write this number in scientific notation.

Indicate the degree of the term. -

Solve the problem. -Approximately employees of a certain company average $30,000 each year in salary. What is the total amount earned by all the employees of this company per year? Write your answer in scientific notation.

Indicate the degree of the term. -

Indicate whether the expression is a polynomial. If the polynomial has a specific name - monomial, binomial, or trinomial - give that name. --10x

Solve the problem. -In a state with a population of 4,000,000 people, the average citizen spends $6,000 on housing each year. What is the total spent on housing for the state? Write your answer in scientific notation.

Solve the problem. -The mass of an electron is approximately grams. Find the mass of 273,000,000 electrons.

Solve the problem. -If the mass of an object is 7.0543 × 10-4 tons and its volume is 1.21 × 103 cubic feet, find the density of this object. (Use the formula and round to the nearest hundredth, if necessary.)