تكلم مع الذكاء الاصطناعي
Deck 7: Solving Linear Equations
ملء الشاشة (f)
سؤال
سؤال
سؤال
A rental car charges $55.09 for insurance and other fees plus a flat rate of $26.97 per day.Write a formula that gives the cost C, in dollars, of renting a car for t days.
A)
B) 
C) 
D) 
A)
B)
C)
D)
سؤال
سؤال
Solve the equation 
.
A) There is no solution.
B)
C)
D)
. A) There is no solution.
B)
C)
D)
سؤال
As you drive up a hill, your elevation E, in feet, increases with each mile m that you drive.The relationship is 
. Express the miles you drive as a function of elevation.
A)
B) 
C) 
D) 
. Express the miles you drive as a function of elevation.
A)
B)
C)
D)
سؤال
The amount M, in billions of dollars, collected by the Internal Revenue Service t years after 2003 is given by 
.
According to this model, in what year would IRS collections reach 3,554 billion dollars?
A) 2014
B) 2012
C) 2010
D) It never happens
. According to this model, in what year would IRS collections reach 3,554 billion dollars?
A) 2014
B) 2012
C) 2010
D) It never happens
سؤال
If you wish to have an item you ordered delivered quickly, you must pay extra for shipping, and the amount you pay depends on the weight w, in pounds, of the item.The shipping cost S, in dollars, is given by 
. You have $32.39 to spend on shipping costs.How large an item can you have shipped?
A) 12.42 pounds
B) 21.41 pounds
C) 11.98 pounds
D) 11.31 pounds
. You have $32.39 to spend on shipping costs.How large an item can you have shipped?A) 12.42 pounds
B) 21.41 pounds
C) 11.98 pounds
D) 11.31 pounds
سؤال
The speed S, in meters per second, of sound in the ocean depends on the depth D, in kilometers.(It depends on other quantities as well, but those will be ignored for this problem.) The relationship is 
. At what depth is the speed of sound 1,604.04 meters per second?
A) 4.18 kilometers
B) 5.24 kilometers
C) 28,802.68 kilometers
D) 4.12 kilometers
. At what depth is the speed of sound 1,604.04 meters per second?
A) 4.18 kilometers
B) 5.24 kilometers
C) 28,802.68 kilometers
D) 4.12 kilometers
سؤال
سؤال
An iPad costs $498 at your local computer store.The cable company charges $22 per month for a DSL Internet connection.Write a formula that gives the cost C, in dollars, of buying an iPad and paying for t months of Internet service.
A)
B) 
C) 
D) 
A)
B)
C)
D)
سؤال
You start making regular deposits to your piggy bank.The amount P, in dollars, in your piggy bank after t weeks is given by 
.
The price of the computer you want to buy is decreasing.The price C, in dollars, t weeks after you started saving money is given by
.
When will there be enough money in your piggy bank to buy the computer? Report your answer as a whole number.
A) After 8 weeks
B) After 7 weeks
C) After 10 weeks
D) There will never be enough.
.The price of the computer you want to buy is decreasing.The price C, in dollars, t weeks after you started saving money is given by
.
When will there be enough money in your piggy bank to buy the computer? Report your answer as a whole number.
A) After 8 weeks
B) After 7 weeks
C) After 10 weeks
D) There will never be enough.
سؤال
The length L, in feet, of a baby blue whale depends on its age T, in months.The relationship is 
. How old is a baby wale that is 47 feet long?
A) 5.43 months
B) 17.78 months
C) 6.83 months
D) A baby whale is never that long.
. How old is a baby wale that is 47 feet long?
A) 5.43 months
B) 17.78 months
C) 6.83 months
D) A baby whale is never that long.
سؤال
Solve the equation 
.Round your answer to two decimal places.
A) There is no solution.
B)
C) 
D) 
.Round your answer to two decimal places. A) There is no solution.
B)
C)
D)
سؤال
سؤال
For connection to the system and water usage w, in hundreds of gallons, a water company charges 
dollars.
Solve this equation for w to express water consumption as a function of the charges.
A) There is no solution.
B)
C)
D)
dollars. Solve this equation for w to express water consumption as a function of the charges.
A) There is no solution.
B)
C)
D)
سؤال
سؤال
The life expectancy E, in years, for a child born t years after 2000 is given by 
. In what birth year would a child have a life expectancy of 78.06 years?
A) 2010
B) 2008
C) 2006
D) That life expectancy never occurs.
. In what birth year would a child have a life expectancy of 78.06 years?
A) 2010
B) 2008
C) 2006
D) That life expectancy never occurs.
سؤال
For connection to the system and water usage w, in hundreds of gallons, water company A charges 
.
For connection to the system and water usage w, in hundreds of gallons, water company B charges
.
Both A and B are in dollars.How many hundreds of gallons of water will result in the same charge from water company A and water company B? Round your answer to two decimal places.
A) The charge will never be the same.
B) 424.00 hundred gallons
C) 191.15 hundred gallons
D) 423.53 hundred gallons
. For connection to the system and water usage w, in hundreds of gallons, water company B charges
.Both A and B are in dollars.How many hundreds of gallons of water will result in the same charge from water company A and water company B? Round your answer to two decimal places.
A) The charge will never be the same.
B) 424.00 hundred gallons
C) 191.15 hundred gallons
D) 423.53 hundred gallons
سؤال
The long jump record L, in meters, for the nth Olympics after 1900 is given approximately by the formula 
. When did the long jump record reach 8.60 meters?
A) In the 10th Olympics after 1900
B) In the 7th Olympics after 1900
C) In the 12th Olympics after 1900
D) The record never reached 8.60 meters.
. When did the long jump record reach 8.60 meters?
A) In the 10th Olympics after 1900
B) In the 7th Olympics after 1900
C) In the 12th Olympics after 1900
D) The record never reached 8.60 meters.
سؤال
Solve the equation 
for x.
A) There is no solution.
B)
C) 
D) 
for x. A) There is no solution.
B)
C)
D)
سؤال
Solve the equation 
.Round your answer to two decimal places.
A) There is no solution.
B)
C)
D) 
.Round your answer to two decimal places. A) There is no solution.
B)
C)
D)
سؤال
Solve the equation 
for y.
A) There is no solution.
B) 
C) 
D)
for y. A) There is no solution.
B)
C)
D)
سؤال
Solve the equation 
for x.
A) There is no solution.
B)
C) 
D) 
for x. A) There is no solution.
B)
C)
D)
سؤال
Solve the equation 
for x.
A) There is no solution.
B)
C) 
D) 
for x. A) There is no solution.
B)
C)
D)
سؤال
Solve the equation 
for z.
A) There is no solution.
B) 
C)
D) 
for z. A) There is no solution.
B)
C)
D)
سؤال
Solve the equation 
for z.
A)
B)
C)
D)
for z. A)
B)
C)
D)
سؤال
Solve the equation 
.Round your answer to two decimal places.
A) There is no solution.
B) 
C) 
D)
.Round your answer to two decimal places. A) There is no solution.
B)
C)
D)
سؤال
Solve the equation 
for y.
A) There is no solution.
B) 
C)
D) 
for y. A) There is no solution.
B)
C)
D)
سؤال
Solve the equation 
for z.
A) There is no solution.
B) 
C)
D) 
for z. A) There is no solution.
B)
C)
D)
سؤال
Solve the equation 
for x.
A) There is no solution.
B)
C) 
D) 
for x. A) There is no solution.
B)
C)
D)
سؤال
Solve the following equation for x. 
A) There is no solution.
B) 
C) 
D)
A) There is no solution.
B)
C)
D)
سؤال
The value V, in dollars, of an automobile t years after 2010 is given by the formula 
.
Solve this equation for t to express the time in years since 2010 as a function of the value of the car.
A) There is no solution.
B) 
C)
D) 
. Solve this equation for t to express the time in years since 2010 as a function of the value of the car.
A) There is no solution.
B)
C)
D)
سؤال
Solve the equation 
for y.
A) There is no solution.
B)
C) 
D)
for y. A) There is no solution.
B)
C)
D)
سؤال
Solve the equation 
for y.
A) There is no solution.
B)
C) 
D) 
for y. A) There is no solution.
B)
C)
D)
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ملء الشاشة (f)
Deck 7: Solving Linear Equations
1
Logarithms are sometimes needed to solve linear equations.
False
2
One rental company charges $58.32 in fees for a television plus $23.76 per week.A second rental company charges $39.14 in fees plus $26.49 per week.How many weeks would make the total cost of renting a television the same for both companies? You can be charged for part of a week, so you should report your answer correct to two decimal places.
A) 7.03 weeks
B) 58.32 weeks
C) 9.03 weeks
D) It never happens
A) 7.03 weeks
B) 58.32 weeks
C) 9.03 weeks
D) It never happens
7.03 weeks
3
A rental car charges $55.09 for insurance and other fees plus a flat rate of $26.97 per day.Write a formula that gives the cost C, in dollars, of renting a car for t days.
A)
B)
C)
D)
A)
B)
C)
D)
4
Techniques for solving linear equations can sometimes be used to reverse the roles of variables in equations.
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5
Solve the equation .
A) There is no solution.
B)
C)
D)
. A) There is no solution.
B)
C)
D)
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6
As you drive up a hill, your elevation E, in feet, increases with each mile m that you drive.The relationship is . Express the miles you drive as a function of elevation.
A)
B)
C)
D)
. Express the miles you drive as a function of elevation.
A)
B)
C)
D)
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7
The amount M, in billions of dollars, collected by the Internal Revenue Service t years after 2003 is given by .
According to this model, in what year would IRS collections reach 3,554 billion dollars?
A) 2014
B) 2012
C) 2010
D) It never happens
. According to this model, in what year would IRS collections reach 3,554 billion dollars?
A) 2014
B) 2012
C) 2010
D) It never happens
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8
If you wish to have an item you ordered delivered quickly, you must pay extra for shipping, and the amount you pay depends on the weight w, in pounds, of the item.The shipping cost S, in dollars, is given by . You have $32.39 to spend on shipping costs.How large an item can you have shipped?
A) 12.42 pounds
B) 21.41 pounds
C) 11.98 pounds
D) 11.31 pounds
. You have $32.39 to spend on shipping costs.How large an item can you have shipped?A) 12.42 pounds
B) 21.41 pounds
C) 11.98 pounds
D) 11.31 pounds
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9
The speed S, in meters per second, of sound in the ocean depends on the depth D, in kilometers.(It depends on other quantities as well, but those will be ignored for this problem.) The relationship is . At what depth is the speed of sound 1,604.04 meters per second?
A) 4.18 kilometers
B) 5.24 kilometers
C) 28,802.68 kilometers
D) 4.12 kilometers
. At what depth is the speed of sound 1,604.04 meters per second?
A) 4.18 kilometers
B) 5.24 kilometers
C) 28,802.68 kilometers
D) 4.12 kilometers
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10
To say that an equation is linear means that it is a straight line.
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11
An iPad costs $498 at your local computer store.The cable company charges $22 per month for a DSL Internet connection.Write a formula that gives the cost C, in dollars, of buying an iPad and paying for t months of Internet service.
A)
B)
C)
D)
A)
B)
C)
D)
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12
You start making regular deposits to your piggy bank.The amount P, in dollars, in your piggy bank after t weeks is given by .
The price of the computer you want to buy is decreasing.The price C, in dollars, t weeks after you started saving money is given by .
When will there be enough money in your piggy bank to buy the computer? Report your answer as a whole number.
A) After 8 weeks
B) After 7 weeks
C) After 10 weeks
D) There will never be enough.
.The price of the computer you want to buy is decreasing.The price C, in dollars, t weeks after you started saving money is given by
.
When will there be enough money in your piggy bank to buy the computer? Report your answer as a whole number.
A) After 8 weeks
B) After 7 weeks
C) After 10 weeks
D) There will never be enough.
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13
The length L, in feet, of a baby blue whale depends on its age T, in months.The relationship is . How old is a baby wale that is 47 feet long?
A) 5.43 months
B) 17.78 months
C) 6.83 months
D) A baby whale is never that long.
. How old is a baby wale that is 47 feet long?
A) 5.43 months
B) 17.78 months
C) 6.83 months
D) A baby whale is never that long.
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14
Solve the equation .Round your answer to two decimal places.
A) There is no solution.
B)
C)
D)
.Round your answer to two decimal places. A) There is no solution.
B)
C)
D)
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15
Linear equations are always difficult to solve.
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16
For connection to the system and water usage w, in hundreds of gallons, a water company charges dollars.
Solve this equation for w to express water consumption as a function of the charges.
A) There is no solution.
B)
C)
D)
dollars. Solve this equation for w to express water consumption as a function of the charges.
A) There is no solution.
B)
C)
D)
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17
You got a birthday gift of $34.94, which you choose to spend on music.You pay $12.50 for an iPad app that lets you download songs for $1.02 each.How many songs can you download before your birthday money is used up?
A) 29 songs
B) 19 songs
C) 22 songs
D) 24 songs
A) 29 songs
B) 19 songs
C) 22 songs
D) 24 songs
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18
The life expectancy E, in years, for a child born t years after 2000 is given by . In what birth year would a child have a life expectancy of 78.06 years?
A) 2010
B) 2008
C) 2006
D) That life expectancy never occurs.
. In what birth year would a child have a life expectancy of 78.06 years?
A) 2010
B) 2008
C) 2006
D) That life expectancy never occurs.
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19
For connection to the system and water usage w, in hundreds of gallons, water company A charges .
For connection to the system and water usage w, in hundreds of gallons, water company B charges .
Both A and B are in dollars.How many hundreds of gallons of water will result in the same charge from water company A and water company B? Round your answer to two decimal places.
A) The charge will never be the same.
B) 424.00 hundred gallons
C) 191.15 hundred gallons
D) 423.53 hundred gallons
. For connection to the system and water usage w, in hundreds of gallons, water company B charges
.Both A and B are in dollars.How many hundreds of gallons of water will result in the same charge from water company A and water company B? Round your answer to two decimal places.
A) The charge will never be the same.
B) 424.00 hundred gallons
C) 191.15 hundred gallons
D) 423.53 hundred gallons
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20
The long jump record L, in meters, for the nth Olympics after 1900 is given approximately by the formula . When did the long jump record reach 8.60 meters?
A) In the 10th Olympics after 1900
B) In the 7th Olympics after 1900
C) In the 12th Olympics after 1900
D) The record never reached 8.60 meters.
. When did the long jump record reach 8.60 meters?
A) In the 10th Olympics after 1900
B) In the 7th Olympics after 1900
C) In the 12th Olympics after 1900
D) The record never reached 8.60 meters.
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21
Solve the equation for x.
A) There is no solution.
B)
C)
D)
for x. A) There is no solution.
B)
C)
D)
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22
Solve the equation .Round your answer to two decimal places.
A) There is no solution.
B)
C)
D)
.Round your answer to two decimal places. A) There is no solution.
B)
C)
D)
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23
Solve the equation for y.
A) There is no solution.
B)
C)
D)
for y. A) There is no solution.
B)
C)
D)
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24
Solve the equation for x.
A) There is no solution.
B)
C)
D)
for x. A) There is no solution.
B)
C)
D)
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25
Solve the equation for x.
A) There is no solution.
B)
C)
D)
for x. A) There is no solution.
B)
C)
D)
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26
Solve the equation for z.
A) There is no solution.
B)
C)
D)
for z. A) There is no solution.
B)
C)
D)
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27
Solve the equation for z.
A)
B)
C)
D)
for z. A)
B)
C)
D)
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28
Solve the equation .Round your answer to two decimal places.
A) There is no solution.
B)
C)
D)
.Round your answer to two decimal places. A) There is no solution.
B)
C)
D)
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29
Solve the equation for y.
A) There is no solution.
B)
C)
D)
for y. A) There is no solution.
B)
C)
D)
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30
Solve the equation for z.
A) There is no solution.
B)
C)
D)
for z. A) There is no solution.
B)
C)
D)
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31
Solve the equation for x.
A) There is no solution.
B)
C)
D)
for x. A) There is no solution.
B)
C)
D)
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32
Solve the following equation for x.
A) There is no solution.
B)
C)
D)
A) There is no solution.
B)
C)
D)
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33
The value V, in dollars, of an automobile t years after 2010 is given by the formula .
Solve this equation for t to express the time in years since 2010 as a function of the value of the car.
A) There is no solution.
B)
C)
D)
. Solve this equation for t to express the time in years since 2010 as a function of the value of the car.
A) There is no solution.
B)
C)
D)
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34
Solve the equation for y.
A) There is no solution.
B)
C)
D)
for y. A) There is no solution.
B)
C)
D)
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35
Solve the equation for y.
A) There is no solution.
B)
C)
D)
for y. A) There is no solution.
B)
C)
D)
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