Math problem | Mathematics homework help

1)  Solve the inequality below.  Write the solution set using interval notation and graph the solution set on a number line.  If you are typing the quiz, you can review instructions for creating a number line.

2)  Solve the compound inequality below.  Write the solution set using interval notation and graph the solution set on a number line.  If you are typing the quiz, you can review instructions for creating a number line from your keyboard attached in the Week 3 LEO News.

3)  Find at least three ordered pairs that satisfy the following equation and graph the line through them.  You may use the grid provided or create your own graph.  Show all work.

4)  Find at least three ordered pairs that satisfy the following equation and graph the line through them.  You may use the grid provided or create your own graph.  Show all work.

5)  Draw the line through the point (2, 6) that is parallel to the y-axis.  Write the equation of this line and state its slope.

6) Draw the line through the point (-6, 1) that is parallel to the x-axis.  Write the equation of this line and state its slope.

7) Given the linear equation  , find the slope and y-intercept of the line.  Write the slope in simplest form and the y-intercept as an ordered pair.  Show all work below.

8)  Given the points (-3, 7) and (1, -1):

a)  Find the slope of the line through the points.

b)  Write an equation in point-slope form of the line through the points.

c)  Convert the equation to slope-intercept form.

d)  Convert the equation to standard form, Ax + By = C, where A, B, and C are integers.

e)  Graph the equation.  You may use the axes provided, or create your own graph.

9)  Write an equation in point-slope form of the line through the point (-3, 3) perpendicular to the line with equation 4x + 3y = 7.

10)  The number of Starbucks stores in the US in 2005 was 8400.  In 2014, there were 11,500 Starbucks stores in the US.  Let y be the number of Starbucks stores in the US in the year x, where x = 0 represents the year 2005.  

a) Write a linear equation in slope-intercept form that models the growth in the number of Starbucks stores in the US in terms of x.  [Hint: the line must pass through the points

(0, 8400) and (9, 11500)].

b) Use this equation to predict the number of Starbucks stores in the US in the year 2020.

c) Explain what the slope for this line means in the context of the problem.

End of quiz: please remember to sign and date the statement in the box on the first page of the quiz.