Linear+Relations+Runner-Up+Test+Questions

=Linear Relations Test Runner-Up Questions=

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Post only runner-up questions here. Post winning questions at Linear Relations Test Questions.

Class A Runner-Up Questions
1. Find the standard form of a line which passes through (9,7) and (-3,1). [kevink2435]

2. Determine the equation in standard form for the line parallel to 9x-6y+2=0 and passing through (7,3). [kevink2435]

3. If the lines kx-3y-10=0 and 2x-33y+9=0 are perpendicular, then find the value of k. [kevink2435]

4. Identify the slope of the line 7x-9y-2=0. [kevink2435]

5. In 1992, the population of a country called Kongland was 221. In 2000, the population number rose to 10021. Find the average rate of change to the nearest person per year. [kevink2435]

6. Find the equation in slope-y-intercept form of a line perpendicular to the line 9x-9y-9=0 and having the same y-intercept as the line 7x-7y-6=0. [kevink2435]

7. The cost of purchasing a Ferrari is $2009/vehicle plus $250. a) Write the equation of this relation. b) Create a table of values c) Graph the relation d) Graphically find the cost of buying 140 Ferraris. [kevink2435]

8. The equation of a line is 2x-qy-r=0. The slope is 9 and the y-intercept is 3. What are the values of q and r. [kevink2435]

9. An equation of a line is Jx-5y+6=0. If the line passes through (15,8), then what is the value of J? [kevink2435] and [A-Liu]

10. Tom Ketchup is a plumber. He charges a fixed cost of $45 and $14 per hour. He wants to buy a gingerbread bike that costs $535 plus tax. How many hours would he have to work for to buy the bike? To complete this answer, use a table of values and the graph it. [kevink2435] and [A-Liu] 

11. Find the equation of the line with the same slope as the line 2x+4y+1=0 and passes through the point (7,-3)  [kevink2435] and [A-Liu]

Class C Runner-Up Questions
1. With the given equation 25x + 5y + 10 = 0, graph and then state the domain and range. *CREATE AN APPROPRIATE TITLE*

2. Given the equations 3x - 4y + 4 = 0 and 12x - 16y + 16 = 0: a) What are their slopes? b) Are the lines parallel, perpendicular or neither?

3. Determine an equation for the line perpendicular to 3x - 12y + 8 = 0 and having the same y-Intercept as 14x - 13y - 52 = 0.

4. Fine the standard form of the line that has the slope of 2/3 and passes through the point (3,2).

5. Convert from y-Intercept form to standard form: i) //y// = 3//x// + 4 ii) //y// = 9//x// + 7 iii) //y// = 2/3//x// + 1/2 Convert from standard form to y-Intercept form: i) 3//x// + 4//y// - 4 = 0 ii) 4//x// - 6//y// - 3 = 0 iii) 3//x// + 9//y// = 0

6. Determine the equation of a line that is parallel to a line with the equation 6x - 2y + 4=0 that pas through the points (2,8)

7. Find the y-intercept of a line which passes through the following points (2,6) and (3,5)

8. Write and equation that passes through the given points A (16,-4) and B (-12,-15). express you equation in standard form.

9. The corners of a rectangle are A (1,2), B (1,-3), C (-2,-12), D (-2,8). Write an equation in standard form for each diagonal.

10. An airplane flies at 150 km/hour.

a) Show the equation. b) Is this direct or partial variation? c) Draw a table of values. d) Create a graph. e) Find the slope of this graph. f) Show graphically how far this airplane can fly in 12.5 hours g) If the fuel the airplane lasted for 6 hours without any re-fills, how often would the airplane have to stop from a journey of 2500 km from *Bubbletown and *Eldergrove?
 * fictional towns

11. Change the standard form equation of 3x - 2y = 10 to an equation showing slope and y-intercept. Show your work.

12. Find the slope of the given points of (2,-5) and (3,-6).

13. Write and equation that passes through the points: (8,4) and (10,-14). Then express the equation in standard form.

14. A line that passes through (2,2) and has a slope of 1. Does it pass through the origin?

15. Two car repair companies charge different rates for oil changing. For this the Mr. Tube company charges $250.00, plus $20/hr. Canadian Tire charges $65/hr. a) Create an appropriate table of values for both companies. b) Graph both lines on the same set of axis. Which company is cheaper, if oil change takes 1.5 hr? 2.5h? * Remember to use a proper formula if necessary*.

17. Line perpendicular to 2x - 14y + 3 = 0 and having the same x- intercept as 3x + 8y - 2 = 0.
 * Determine an equation for each of the lines.*

18. Find the equation of a line that goes through h (4, 6), and (-3, -12). State the slope, y- intercept and x- intercept. The equation must be stated in slope y- intercept form.

19. An oreo consumes 50 children per day.

a) state the equation. b) Write an appropriate table of values. c) Find the y- intercept. d) Graph the relation.

20. If it costs $3 for a taxi and $ 0.50 to go 1 km, how much does it cost to go a) 3 km? b) 17 km? Graph the relation.

21. The school expenses include the teacher salary, and the building costs. Supposedly when 12 teachers are employed, the cost is $ 1210/yr (including building costs), and when 8 teachers are employed it is $890/yr. a) What is the salary of each teacher. b) What are the building costs for the school?

22. Find the y- intercept of a line that passes through the points (2/5, 3/8) and (2/7, 4/5).

23. Find the line perpendicular to the line with the formula 3x + 2y - 6 = 0 and has the same y- intercept as a line with the formula 9x + 8y - 4.

24. Suzy Q. and Jenny B work at the local bakery. Every afternoon, 27 students come to buy cookies. Before they arrive, 30 cookies have already been baked but Suzy and Jenny like to bake fresh cookies for the kids. By the time the students leave, 84 cookies have been baked. a) Write an equation expressing the total amount of cookies baked. b) Create an appropriate table of values c) Find the total amount of cookies baked when 72 students purchase them. d) Determine the rate of change.

25. An equation of a line is y = 2x + b. Find the value of b if the line passes through the point: a) (6, 4) b) (-3, -5) c) (4, - 8)

26. Barney works at a store here he is paid a base salary of $565.00 per week and a commission of 10% of total sales per week. a) Write an equation to show the relation. b) How much does Barney earn if he makes a total sales of $600.00 per week? $3000.00 per month?

27. A bird is flying from Toronto to New York. An equation that relates the distance from New York //d// kilometres, to the flying time, //t// hours, is d = 1104 - 138t. a) What is the d-intercept? b) What is the t-intercept? c) What is the slope and what does it represent? d) What is the distance from New York when the bird has been flying for 2 hours? e) For how many hours has the bird been flying when it is 500km from New York?

28. Two perpendicular lines have the same x-intercept. An equation of one line is 2y = x + 3. Find an equation of the other line.

29. Sally and Nancy find a summer job of mowing lawns. Sally charges $5.00 for the rental of the lawn mower, plus $7.00/h. Nancy charges $8.00/h. a) Write an equation for each of their incomes, in terms of hours worked. b) Make a table of values and use the following number of hours: 2, 5, 8. c) Graph both equations on the same set of axes using the table of values. d) Find the coordinates of the point of intersection.