Activities

1. Graph the following equation on the coordinate plane below:  y = 4 – x .

2. A linear equation graphed on a coordinate plane includes the following points: (4, 7), (-2, 4), and (-10, 0). What is the equation of the line?

3. A linear function is represented by the graph below. Fill in the table with coordinate points that are a part of the function.

4. A certain monkey at a zoo eats an average of 30 bananas per day. Write an equation that inputs the number of days and outputs the number of bananas that are eaten. Then fill in the missing values in the table.

Equation:

5. Fill in the table and graph based on the function .

6. The width of a standard car is 6 feet. Write a function that would determine the area under a car depending on the length of the car. Fill in the table with 5 reasonable values that would makes sense in this situation.

Function:

7. A function doubles the input then decreases that value by four. Determine the equation, table, and graph that would be produced by this function.

Equation: 

8. A bike racer is 100 kilometers from the finish of a race. She is riding at an average speed of 35 kilometers per hour. Write an equation that determines her distance from the finish (d) based on the number of hours (h) she rides from this point on. Then, fill in the table with coordinate points that are appropriate to this situation.

Equation:

9. Write the equation of the line that passes through the points listed in the table below.

Equation:

10. A college student’s bank account is losing the same amount of money each week since the beginning of the semester according to the table shown below. Determine the equation of the function that inputs the number of weeks since the beginning of the semester and outputs the money in his bank account. Also, fill in the missing values on the table.

Equation:

11. Imagine that the following two coordinate points are on a coordinate plane (7, -1) and (-3, 7) what is the equation of the line that connects them?

12. A savvy company realizes that their Internet presence is very crucial to their success. With that in mind, they graphed the number of followers they have on a certain website each month as seen below. Determine the equation that is represented by the graph.

13. The table below shows the page number that Byron is at in his copy of Les Miserables after reading for a certain amount of hours. Graph the linear function on the coordinate plane provided.

14. Fill in the table based on the graph below.

15. Determine the equation and graph that are represented by the values in the table below.

Equation:

16. A linear function gives an output of negative six despite the input value. Create a graph, table, and equation for this function.

                                                                                    Equation:

17. The relation graphed below is not a function. Fill in the table and create an equation for the relation to help explain why it is not a function.

Equation:

18. The amount of water remaining in a cylindrical container decreased as Tonya drank from the originally full container according to the table below. If the radius of the cylinder was 3 inches. What was the water’s original height in the cylinder?

19. For what reason do the table and equation not represent the linear function graphed below?

                        Table:                                                              Equation:

20. Create the equation of a linear function. Then fill out the values in the table and graph the function.

21. Using the function x≠3, fill out the table below and then determine the equivalent linear equation.

Linear Equation:

22. What is the equation of the linear function graphed below?

23. A real estate salesperson gets paid a base salary and a commission based on the cost of the houses they sell. If Jane sold only one house per month, what is her base salary and commission based on the graph of three separate months?

24. Given the equation what could be the integer values of a, b, and c so that the equation represented the values in the table below.

25. An odd math teacher decides to trick his students by switching the x and y axes for one problem. He shows them the following graph with the x and y axis switched. Determine the equation, table and graph of the linear function.

                        Table:                                                  Equation:

Answer Key/Rubric

2. y = 0.5x + 5

3. A linear function is represented by the graph below. Fill in the table with coordinate points that are a part of the function.

4. B = 30d

5. 
   

   Various table values
   

6. Function:  A = 6L

Various table values

7. Equation:  y = 2x – 4

8. Equation: d = 100 – 35h

9. y = 1.5x + 1.5
   
   
10. Equation: Money = 5340 – 356(weeks)

13. p = 23h + 9

14. Fill in the table based on the graph below.

15. Equation:  y = 2

                                                                                    Equation: y = 0x – 6

17. This relation is not a function because it has different outputs for the same input value. Also it does not pass the vertical line test.

Equation:  x = -3.4

18. 6 inches

19. The table should include the points (-8, 7), (-4, 6) and (0, 5) for the first three points, the equation should have a slope of negative one fourth, not negative one third

20. Equation: y = x + 1

21. Linear Equation:  y = 2x – 1

22. y = –3x – 21

23. Jane’s base salary is $1000, her commission is 3% of her home sales

24. Various answers including: a = 12, b = 18, c = -6

25. Table:                                                  Equation: y = 0.5x – 1