Math Assignment

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 from your keyboard attached in the Week 2 LEO Announcement.

 

 

 

 

 

 

 

 

 

 

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 2 LEO Announcement.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

3) Find at least three ordered pairs that satisfy the following equation and graph the line through them. You may use the grid below, or attach your own. If you attach your own graph, please use graph paper with clearly labeled and scaled axes or use the graphing grid posted in the Week 2 LEO announcement. Show all work as you find ordered pairs.

 

 

 

 

 

 

4) Find at least three ordered pairs that satisfy the following equation and graph the line through them. You may use the grid below, or attach your own. If you attach your own graph, please use graph paper with clearly labeled and scaled axes or use the graphing grid posted in the Week 2 LEO announcement. Show all work as you find ordered pairs.

 

 

 

 

5) Draw the line through the point (-4, 5) that is parallel to the x-axis. Write the equation of this line and state its slope. You may use the grid below, or attach your own. If you attach your own graph, please use graph paper with clearly labeled and scaled axes or use the graphing grid posted in the Week 2 LEO announcement.

 

 

 

 

6) Draw the line through the point (3, -2) that is parallel to the y-axis. Write the equation of this line and state its slope. You may use the grid below, or attach your own. If you attach your own graph, please use graph paper with clearly labeled and scaled axes or use the graphing grid posted in the Week 2 LEO announcement.

 

 

 

 

 

 

 

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 (-2, 5) and (4, -4):

 

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 grid below, or attach your own. If you attach your own graph, please use graph paper with clearly labeled and scaled axes or use the graphing grid posted in the Week 2 LEO announcement.

9) Write an equation in point-slope form of the line through the point (-3, 4) perpendicular to the line with equation 3x – 5y = 10.

 

 

 

 

 

 

 

 

10) The number of CVS stores in the US in 2007 was 6306. In 2017, there were 9846 CVS stores in the US. Let y represent the number of CVS stores in the US in the year x, where x = 0 represents the year 2007.

 

a) Write the ordered pairs represented by the information given in the statement above and find the slope of the line through them.

 

 

 

 

 

 

b) Write a linear equation in slope-intercept form that models the growth in the number of CVS stores in the US in terms of x.

 

 

 

 

 

c) Use this equation to predict the number of CVS stores in the US in the year 2030.

 

 

 

 

 

 

 

d) State the slope of this line and explain specifically what it means in the context of this problem.

 

 

 

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7

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