grade 10 Exam Rewiew, please help?

i have 40 questions for review, and if i do them all i get 1% on my mark so if you could answer one or 2 and leave them as a comment id appreciate it, my credit is at risk, and i need your help

All the * mean squared... wish i had the symbol on my keyboard

1. solve the following system of equations graphically: y= 2x+3 5x-3y=-15

2.explain how you know the # of solutions that a system of equations has. use examples

10. determine what type of quadrilateral is formed by the points R(-4,2) S(-1,4) T(1,1) and U(-2,-1)

12. deterimne if the relationship is linear, quadratic or either, and explain why

a) y=7x+5 b) y=2x*-5x+2 ( * means squared)

14. for the following equation, determine the following:

i. the zeros

ii. the coordinates of the vertex

iii. state the optimal value and wether it is a maximum or a minimum

y=1/2(5 - 2x)(2x + 1)

15. the path of water shooting out of a large fountan can be modeled with a parabola. the maximum hieght of the water is 2.5m and the distance from the spout to where it lands is 6.0m

a) determine the zeros of the water

b) determine the equation for the axis of symmetry

c) determine the equation that represents the parabola

17. Expand and simpliflu the following expressions

a) (6x - 2)(5x + 7) b) -3(4m - 1)(m + 2)

18. Factor the following expressions completly

a) 4x*-12x+9 b) q*-5q-14 c) x*-36 d) 3x*+11x+6

19. kay and lindsay are conducting an experiment for the motion unit in their science class. the experiment involves kay throwing a ball up from the roof of the school and lindsay timing how long it takes to get to the ground. the height of the ball can be measured by h= -5t*+7t+6, where h is the height in meters and t is the time in seconds.

a) how high is the school

b) how long dose it take for the ball to hit the ground

c) how long dose it take for the ball to reach its maximum height

20. the population of parabolia is modeled by the equation P=6t*+120t+3000, where p is the population and t is the time. when will the population of parabolia be 4800?

21. garret and patrick are building a skating rink in patrick's backyard. the rink is built using one side of an existing fence. the rink must be rectangular and only have 16m of fencing for the 3 remaining sides.

a) write an equation in standard form for the area of the fence in terms of x

b) what are the dimensions of the rink with the maximum area?

24. express the following equation in vertex form. state the coordinates of the vertex and state wether the resulting parabola open up or down

y= -2 (x + 1)* +3

25. tim and steven are having an argument over the following parabola

y=5x*-35x-15

tim says that it has 2 real roots, wile steven says it has no real roots. who is correct.

justify your answer with a solution.

26. mat and tod are playing catch in the front foyer by the main office. mat is on the balcony and tod is down beside the guidance office. the path of the ball can be modeleb by the equation

h= -5t*+10t+6

a) how high is the balcony in the front foyer

b) what is the maximum height of the ball

c) just as mat throws the ball off the balcony, mr vanfeft walks by. how long dose mat have to get away before the ball hits the ground and he gets a detention?

27. shannon and sara were having a discussion about the latest dance that was canceled due to lack of intrest. tickets where 8$ and they sold 150 tickets. together, they detemined that 50 more students would come for each $0.50 decrease in the ticket price. what ticket price would have maximized revenue and prevented the dance from being cancelled

28. a) state one set of conditions that must be met for 2 triangles to be similar

b) give an example of 2 triangles that are similar, state how they are similar.

29. a) state one set of conditions that must be met for 2 triangles to be congruent.

b) give an example of 2 triangles that are congruent. state how they are congruent

37. dan is flying a kite and has let out the enitre 150m ball of kite string. he notices that the string forms a 70 degree angle with the ground. tom is on the other side of the kite and sights the kite at an angle of elevation of 30 degrees. how far is dan from tom?

38. an isosceles triangle has sides of 8cm, 12cm, and 12cm. find the measurements of the 2 angles that are equal

39. two airplanes leave an airport at the same time. one travels at 355km/h and the other at 450km/h. 2 hours later they are 800km apart. find the angle between their cousres.

40. the bermuda triangle is formed by locations in the alantic ocean, miami, flordia, san juan, puerto rico, and hamilton, bermuda. the distance from miami to puerto rico is 1660km. the distance from bermuda to miami is also 1660km. the distance between san juan and hamiliton is 1535km

a) what are the interion angles of the bermuda triangle

b) what is the area of the bermuda tria