Question 1

Solve the equation   for y. ​

Accepted Answer

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

Question 2

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.
​

Accepted Answer

A)  The charge will never be the same. 
B)  424.00 hundred gallons 
C)  191.15 hundred gallons 
D)  423.53 hundred gallons 
A)  The charge will never be the same. 
B)  424.00 hundred gallons 
C)  191.15 hundred gallons 
D)  423.53 hundred gallons D

Question 3

Solve the equation   for z. ​

Accepted Answer

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

Question 4

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 5

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? ​

Accepted Answer

A)  29 songs 
B)  19 songs 
C)  22 songs 
D)  24 songs 
A)  29 songs 
B)  19 songs 
C)  22 songs 
D)  24 songs

Question 6

Solve the equation   for x. ​

Accepted Answer

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

Question 7

Solve the equation   for z. ​

Accepted Answer

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

Question 8

Solve the equation   for x. ​

Accepted Answer

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

Question 9

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

Accepted Answer

A) True 
 B)False

Question 10

Solve the equation   for y. ​

Accepted Answer

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

Question 11

Solve the following equation for x. ​   ​

Accepted Answer

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

Question 12

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?

Accepted Answer

A)  2014 
B)  2012 
C)  2010 
D)  It never happens 
A)  2014 
B)  2012 
C)  2010 
D)  It never happens

Question 13

Solve the equation   for y. ​

Accepted Answer

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

Question 14

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.
​

Accepted Answer

A)  After 8 weeks 
B)  After 7 weeks 
C)  After 10 weeks 
D)  There will never be enough. 
A)  After 8 weeks 
B)  After 7 weeks 
C)  After 10 weeks 
D)  There will never be enough.

Question 15

Solve the equation   for y. ​

Accepted Answer

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

Question 16

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. ​

Accepted Answer

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

Question 17

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?
​

Accepted Answer

A)  4.18 kilometers 
B)  5.24 kilometers 
C)  28,802.68 kilometers 
D)  4.12 kilometers 
A)  4.18 kilometers 
B)  5.24 kilometers 
C)  28,802.68 kilometers 
D)  4.12 kilometers

Question 18

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. ​

Accepted Answer

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

Question 19

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?
​

Accepted Answer

A)  5.43 months 
B)  17.78 months 
C)  6.83 months 
D)  A baby whale is never that long. 
A)  5.43 months 
B)  17.78 months 
C)  6.83 months 
D)  A baby whale is never that long.

Question 20

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)  ​

Exam 7: Solving Linear Equations

Solve the equation for y. ​

Solve the equation for z. ​

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

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? ​

Solve the equation for x. ​

Solve the equation for z. ​

Solve the equation for x. ​

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

Solve the equation for y. ​

Solve the following equation for x. ​ ​

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?

Solve the equation for y. ​

Solve the equation for y. ​

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 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. ​

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? ​

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

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 for y.

Solve the equation for z.

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

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?

Solve the equation for x.

Solve the equation for z.

Solve the equation for x.

Solve the equation for y.

Solve the following equation for x.

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?

Solve the equation for y.

Solve the equation for y.

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 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.

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?

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