Question

Which of the following is the most appropriate unit to describe the time you can drive a car based on the amount of gas?

Minutes per gallon, because the independent quantity is the gallons
Minutes per gallon, because the independent quantity is the minutes
Gallons per minute, because the independent quantity is the gallons
Gallons per minute, because the independent quantity is the minutes

Answer 1

@dude

Answer 2

first determine the "independent" and "dependent" variables

Answer 3

does the time depend on the number of gallons, or does the number of gallons depend on the time?

Answer 4

i think c?

Answer 5

think about my question first

Answer 6

gallons depends on the time..

Answer 7

which do you have direct control over? the number of gallons you put into your car, or the passage of time?

Answer 8

number of gallons you put

Answer 9

good

so the gallons is the independent variable and the time driven is dependent

Answer 10

we write rates as "dependent variable per independent variable"

Answer 11

so it would be "minutes driven per gallon"

Answer 12

ohh b~!

Answer 13

almost

Answer 14

independent is gallons remember

Answer 15

A

Answer 16

good

Answer 17

:)

Which of the following best represents the average rate at which infants grow in height during the first four years after birth?

3 inches per month
3 inches per year
3 feet per month
3 feet per year

Answer 18

there are at least 2 that are a bit too fast to be reasonable, which ones do you think they are?

Answer 19

i think its b :)

Answer 20

good, b is the best answer

Answer 21

Which of the following is the most appropriate unit to describe the rate at which people are entering a theme park?

Hours per person, because the dependent quantity is the hours
Hours per person, because the dependent quantity is the people
People per hour, because the dependent quantity is the hours
People per hour, because the dependent quantity is the people

Answer 22

which is the independent variable? the time Or the number of people?

Answer 23

TIME

Answer 24

good, so if we write our rate as "dependent variable per independent" which answer matches best?

Answer 25

D?

Answer 26

good, d is correct

Answer 27

A square has a side of 6.25 feet. What is the area in square feet? Round to the correct significant digits.

Answer for blank 1:_________

Answer 28

area = side^2 = ?

Answer 29

39.0625
??

Answer 30

good, but please round that to 3 digits

Answer 31

um 39.1?

Answer 32

good, that's it

Answer 33

Which of the following describes the correct process for solving the equation 2x + 6 = 22 and arrives at the correct solution?

Divide both sides by 6 and then add 2. The solution is x = 8.
Subtract 6 from both sides and then divide by 2. The solution is x = 8.
Add 6 to both sides of the equation and then divide by 2. The solution is x = 6.
Subtract 6 from both sides of the equation and then divide by 22. The solution is x = 16.

Answer 34

hint: if we have 2x + 6

how can we get 2x by itself and "get rid of" the + 6?

Answer 35

b!!!?

Answer 36

good, b is correct

Answer 37

Name the algebraic property demonstrated in the example below:
(2 + x) + y = 2 + (x + y)

Commutative Property of Addition
Associative Property of Addition
Distributive Property
Transitive Property

Answer 38

A?

Answer 39

when you move the parentheses, but not the terms, it's associative

Answer 40

oh ok so b?

Answer 41

good

Answer 42

Name the algebraic property demonstrated in the example below:
x ⋅ y ⋅ z = y ⋅ x ⋅ z

Distributive Property
Transitive Property
Associative Property of Multiplication
Commutative Property of Multiplication

Answer 43

hint: it's the terms that are being moved around, not the parentheses

so which one do you think it is?

Answer 44

b?

Answer 45

no sorry d

Answer 46

good, d is correct

Answer 47

An equation and the steps to solve it are shown below:

2x − one over four (12x + 4) = 3

Step 1: 2x + 3x + 1 = 3
Step 2: 5x + 1 = 3
Step 3: 5x + 1 − 1 = 3 − 1
Step 4: 5x = 2

In which step was the error made and why?

Step 1, because incorrect signs have been used
Step 2, because the terms have been added incorrectly
Step 3, because a number has been subtracted from both sides of the equation
No error was made

Answer 48

d?

Answer 49

notice how it says 2x − one over four (12x + 4) = 3

with a minus sign in front of the 1/4

Answer 50

however, step 2 has a positive sign in front of the 3x + 1

Answer 51

meaning they missed a sign in step 1

Answer 52

oh ok

Which of the following is the most appropriate unit to describe the rate at which data is transferred using the internet?

Megabits per second, because the independent quantity is time in seconds and dependent quantity is amount of data in megabits
Seconds per megabit, because the independent quantity is time in seconds and dependent quantity is amount of data in megabits
Seconds per megabit, because the iIndependent quantity is amount of data in megabits and dependent quantity is time in seconds
Megabits per second, because the independent quantity is amount of data in megabits and dependent quantity is time in seconds

Answer 53

which one is the independent? megabits or time?

Answer 54

megabits

Answer 55

in most cases, time is independent (since other variables tend to depend on time)

Answer 56

oh ok...

Answer 57

(there are some exceptions though)

Answer 58

so it should be megabits per second

Answer 59

d?

Answer 60

time is independent

Answer 61

oh sorry A

Answer 62

yes good

Answer 63

Jon and Lexi are playing a marble game. According to their rules, 4 points are awarded for each red marble collected and 7 points are awarded for each blue marble collected. Which expression represents Jon's total score if he has r red marbles and b blue marbles?

4r − 7b
2r − 7b
11rb
4r + 7b

Answer 64

d?

Answer 65

yes good

Answer 66

Laura is baking a cake. The recipe says that she has to mix 64 grams of chocolate powder to the flour. Laura knows that 1 cup of that particular chocolate powder has a mass of 128 grams. She added two over three of a cup of chocolate powder to the flour. Should Laura add more chocolate powder to make the exact recipe, or did she go over and by what amount?

She went over by one over three of a cup
She needs to add one over three of a cup
She needs to add one over six of a cup
She went over by one over six of a cup

Answer 67

hint: if 1 whole cup is 128 grams then how many grams is (2/3) of a cup?

Answer 68

d!

Answer 69

she went over by 1/6

Answer 70

yes that's right

Answer 71

A truck is rented at $40 per day plus a charge per mile of use. The truck traveled 15 miles in one day, and the total charge was $115. Which equation can be used to find the charge x, in dollars, per mile traveled?

40x + 15 = 115
40 + 15x = 115
40x + 15x = 115
40 + 15 = 115x

Answer 72

40 + (number of miles)*(charge per mile) = 115

which equation matches best?

Answer 73

c?

Answer 74

it's 40 not 40x

Answer 75

sorry i mean b

Answer 76

yes good

Answer 77

Sarah decides to take her six year old son to the circus. The price for the child's ticket is 4.75 dollars less than the price for the adult's ticket. If you represent the price for the child's ticket using the variable "x," how would you write the algebraic expression for the adult's ticket price?

4.75x
x + 4.75
x over 4.75
x4.75

Answer 78

hint: is the adult's ticket more or less than the child's ticket?

Answer 79

more

Answer 80

good

so does "$4.75 more" imply addition or multiplication?

Answer 81

umm addition?

Answer 82

good

so which answer shows something being added to 4.75?

Answer 83

b

Answer 84

good

Answer 85

An equation is shown below:

4(x − 3) − 5(x + 1) = 3

Which statement shows a correct next step in solving the equation?

The equation can become 4x − 3 − 5x + 1 = 3 by applying the associative property of multiplication.
The equation can become 4x − 3 − 5x + 1 = 3 by applying the distributive property.
The equation can become 4x − 12 − 5x − 5 = 3 by applying the distributive property.
The equation can become 4x − 12 − 5x − 5 = 3 by applying the associative property of multiplication.

Answer 86

hint: how can we get from − 5(x + 1) to -5x - 5?

Answer 87

which property?

Answer 88

A

Answer 89

try one more time

Answer 90

D

Answer 91

don't look at the answer choices, just think about which property can get from − 5(x + 1) to -5x - 5?

Answer 92

C

Answer 93

good, it's the distributive property

Answer 94

3 + x = 4 is the same as 4 = 3 + x. This is an example of which algebraic property?

Distributive Property
Associative Property of Addition
Commutative Property of Addition
Symmetric Property

Answer 95

C?

Answer 96

notice how the positions of the terms aren't changing, the entire arrangement is being "reflected"

A = B then B = A is the symmetric property

Answer 97

like a mirror

Answer 98

oh ok

Answer 99

Ruth borrowed a book from a library. The library charged a fixed rental for the book and a late fee for every day the book was overdue. The expression below shows the charges Ruth paid for the book when she returned it x days after the due date:

2 + 0.25x

What does the second term of the expression represent?

The total late fee paid
The fixed rental for the book
The late fee per day for the book
The number of days the book was overdue

Answer 100

since 0.25x has a variable, it must involve the number of days somehow

Answer 101

0.25 is the late fee (per day)
x is the number of days

so what do you get when you multiply these together?

Answer 102

c?

Answer 103

we said that 0.25 is the late fee per day

Answer 104

but what does 0.25x represent?

Answer 105

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Vocaloid
0.25 is the late fee (per day)
x is the number of days

so what do you get when you multiply these together?
\(\color{#0cbb34}{\text{End of Quote}}\)

Answer 106

ummm...

Answer 107

if the late fee per day is $0.25
and the number of days is x

how would you calculate the total late fee paid?

Answer 108

multiply?

Answer 109

good, so 0.25x = total late fee paid

Answer 110

which answer matches this description?

Answer 111

A

Answer 112

good

Answer 113

Kevin plans to put concrete on a rectangular portion of his driveway. The portion is 10 feet long and 3 inches high. The price of concrete is $98 per cubic yard. The total cost of the concrete Kevin needs is $72.59. Which of the following is closest to the width of the portion of the driveway on which Kevin plans to put concrete?

[1 foot = 12 inches; 1 yard = 3 feet]

3 feet
6 feet
8 feet
10 feet

Answer 114

if the total cost is $72.59 and each cubic yard of concrete costs $98 how many cubic yards of concrete did he buy?

Answer 115

6

Answer 116

how did you get that answer?

Answer 117

no like the answer is B :)

Answer 118

again, how did you get that answer?

Answer 119

omg! no wait i did it wrong woops you have to divide.. $72.59 / $98..
then you get 0.74.. This is equal to 19.98 cubic feet. This means the width of the portion is equal to 8 feet.

Answer 120

good, 8 is your answer

Answer 121

Which phrase matches the algebraic expression below?

3(x − 7) + 10

Three times the sum of x and seven plus ten
Three times x minus seven plus ten
Three times x minus the sum of seven and ten
Three times the difference of x and seven plus ten

Answer 122

btw, random question... after im done with my math questions can you help me with a history assignment about the lewis and clark expedition?

Answer 123

hint: how would you write "(x − 7)" in words?

Answer 124

x minus seven?

Answer 125

good, or "the difference of x and 7"

Answer 126

now, 3(x-7) is just 3 times that difference

Answer 127

so the entire expression is Three times the difference of x and seven plus ten

Answer 128

so d?

Answer 129

yes

Answer 130

ok done with the math questions