# Section 2- 3 Solving Linear Equations

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Q 4Q 4

Techniques for solving linear equations can sometimes be used to reverse the roles of variables in equations.

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Q 5Q 5

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)

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Q 6Q 6

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.

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Q 7Q 7

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)

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Q 8Q 8

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

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Q 9Q 9

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

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Q 10Q 10

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

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Q 11Q 11

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.

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Q 12Q 12

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

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Q 13Q 13

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

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Q 14Q 14

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.

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Q 15Q 15

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.

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Q 16Q 16

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

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Q 17Q 17

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)

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Q 18Q 18

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)

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Q 20Q 20

Solve the equation .Round your answer to two decimal places.
A) There is no solution.
B)
C)
D)

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Q 21Q 21

Solve the equation .Round your answer to two decimal places.
A) There is no solution.
B)
C)
D)

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Q 23Q 23

Solve the equation .Round your answer to two decimal places.
A) There is no solution.
B)
C)
D)

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Q 34Q 34

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)

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