Exam 2: Linear Equations and Inequalities With One Variable

A beanstalk grows at a constant rate. The beanstalk s height (inches) as a function of time (days) is modeled by . Which of the following graphs illustrate the function h ?

The solution to the equation is

The solution to the equation is

The following table shows the swim times s for a certain swimmer for the 400-meter freestyle swims during the years 2001 to 2007. Let represent the year 2001. Which one of the following equations is the line of best fit for the data provided? (Rounded to the nearest ten-thousandths)

For any value of x .

A speed camera records the distance that a car travels along a straight road by taking snapshots of the traveling car at two different times. The first snapshot shows the car is 36 ft away from the speed camera. After half a second the second snapshot shows the car is 8 ft away from the speed camera. Assume that the car is traveling at a constant speed. a. Based on the speed camera evidence how fast is the car traveling? b. Find a linear equation that models the car's distance y traveled for any amount of time x . c. How many seconds after the first snapshot does it take for the car to reach the speed camera? d. How far away from the speed camera was the car 1.5 seconds before the first snapshot was taken?

A ball is thrown straight upward from a bridge and then falls all the way to the ground (past the bridge). The ball s height h (in feet) above the ground t seconds after the ball is thrown is given by . Find the average speed in the height of the ball from time seconds to seconds. (Rounded to the nearest thousandth)

The solution to the equation is

A linear equation always has one solution.

When solving a linear equation to undo __________ use addition.

Which one of the following graphs illustrates the equation y = 4 x ?

You are planning a party for the Chemistry team. Your budget is $507. The costs are the following: $75 for the party room $1.15 per person for paper goods $2.85 per person for beverages and $9.50 per person for food. Find the number of people ( n ) who can attend the party within this budget. __________ people

Biologists observed that as the temperature t (in degrees Fahrenheit) increased near a local ant colony the speed s that the ants traveled also increased. The data from this observation is shown in the table below. Determine the linear regression equation based on the data provided. (Rounded to the nearest thousandth)

The solution to the equation is

You estimate that your grade on the math test goes up 2.5 points for every hour that you study. If you do not study at all you would get a 65 on the test but you want to get at least an 85. If h is the hours that you study solve the inequality to determine how many hours you need to study.

The solution to the equation is

Using the graph below determine the point where the graphs intersect.

Find an equation for the line passing through the point that is parallel to the line passing through and .

The solution to the equation is

The solution to the equation is