Question 1

Solve the equation   .Round your answer to two decimal places. ​

Accepted Answer

A)  There is no solution. 
B)    
C)  ​   
D)  ​   
A)  There is no solution. 
B)    
C)  ​   
D)  ​

Question 2

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.
​

Accepted Answer

A)  There is no solution. 
B)    
C)    
D)    
A)  There is no solution. 
B)    
C)    
D)

Question 3

Solve the equation   for x. ​

Accepted Answer

A)  There is no solution. 
B)    
C)  ​   
D)  ​   
A)  There is no solution. 
B)    
C)  ​   
D)  ​

Question 4

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?

Accepted Answer

A)  12.42 pounds 
B)  21.41 pounds 
C)  11.98 pounds 
D)  11.31 pounds 
A)  12.42 pounds 
B)  21.41 pounds 
C)  11.98 pounds 
D)  11.31 pounds

Question 5

Solve the equation   for z. ​

Accepted Answer

A)  There is no solution. 
B)  ​   
C)    
D)  ​   
A)  There is no solution. 
B)  ​   
C)    
D)  ​

Question 6

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?
​

Accepted Answer

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. 
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.

Question 7

Solve the equation   for x. ​

Accepted Answer

A)  There is no solution. 
B)    
C)  ​   
D)  ​   
A)  There is no solution. 
B)    
C)  ​   
D)  ​

Question 8

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. ​

Accepted Answer

A)    
B)  ​   
C)  ​   
D)  ​   
A)    
B)  ​   
C)  ​   
D)  ​

Question 9

Solve the equation   . ​

Accepted Answer

A)  There is no solution. 
B)    
C)    
D)    
A)  There is no solution. 
B)    
C)    
D)

Question 10

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?
​

Accepted Answer

A)  2010 
B)  2008 
C)  2006 
D)  That life expectancy never occurs. 
A)  2010 
B)  2008 
C)  2006 
D)  That life expectancy never occurs.

Question 11

Linear equations are always difficult to solve.

Accepted Answer

A) True 
 B)False

Question 12

To say that an equation is linear means that it is a straight line.

Accepted Answer

A) True 
 B)False

Question 13

Logarithms are sometimes needed to solve linear equations.

Accepted Answer

A) True 
 B)False

Question 14

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.
​

Accepted Answer

A)  There is no solution. 
B)  ​   
C)    
D)  ​   
A)  There is no solution. 
B)  ​   
C)    
D)  ​

Question 15

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.
​

Accepted Answer

A)    
B)  ​   
C)  ​   
D)  ​   
A)    
B)  ​   
C)  ​   
D)  ​

Exam 7: Solving Linear Equations

Solve the equation .Round your answer to two decimal places. ​

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. ​

Solve the equation for x. ​

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?

Solve the equation for z. ​

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? ​

Solve the equation for x. ​

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. ​

Solve the equation . ​

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? ​

Linear equations are always difficult to solve.

To say that an equation is linear means that it is a straight line.

Logarithms are sometimes needed to solve linear equations.

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. ​

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. ​

Functions Given by Formulas

Functions Given by TableChas

Functions Given by Graphs

Functions Given by Words

Table and Trends

Graphs

Solving Nonlinear Equations

Inequalities

Optimization

The Geometry of Lines

Linear Functions

Modeling Data with Linear Functions

Linear Regression

Systems of Equations

Exponential Growth and Decay

Constant Percentage Change

Modeling Exponential Data

Modeling Nearly Exponential Data

Logarithmic Functions

Logistic Functions

Power Functions

Modeling Data with Power Functions

Combining and Decomposing Functions

Quadratic Functions

Higher Degree Polynomials and Rational Functions

Velocity

Rates of Change for Other Functions

Estimating Rates of Change

Equations of Change Linear and Exponential Functions

Equations of Change Graphical Solutions

Filters

Solve the equation .Round your answer to two decimal places.

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.

Solve the equation for x.

Solve the equation for z.

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?

Solve the equation for x.

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.

Solve the equation .

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?

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.

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.