MPM 2DI Exam Review Assignment Name

MPM 2DIExam Review AssignmentName:

Linear Systems

[4]1.Solve using Substitution.

[4]2.Solve using Elimination.

[5]3.During a family vacation your family travelled on both rural roads, at 80 km/h, and the 400 series highways, at 100 km/h. If the trip took 7 hours and you travelled a total distance of 600 km. How far did you travel on the rural roads?

Analytic Geometry

4.Using the endpoints A(3, 7) and B(-9, 1), determine:

[2]a)the exact length of segment AB

[2]b)the midpoint of AB

[2]c)the slope of AB

[1]d)the slope of a line parallel to AB

[1]e)the slope of a line perpendicular to AB

5.Write the equation of a line, in standard form,

[3]a)parallel to 2x + 3y - 7 = 0 passing through (-6, 3)

[2]b)horizontal and passing through (-4, 9)

[2]6.Write the equation of the circle centered on the origin with a radius of 5 cm.

[4]7.Triangle DEF has vertices D(-2, 4), E(0, -2) and F(6, 2). Determine the equation of DG, the median from D to EF.

Polynomials

[2]8.Simplify

9.Expand and Simplify.

[4,4]a)b)

[8]10.Factor completely, if possible.

a)b)

c)d)

Quadratic Functions

[13]11.Fill in the table and sketch the graph of each parabola. Be sure to include proper labels.

[5]12.The path of a baseball after a batter hit a pop-up can be modeled by the equation , where h represents the height of the ball, in metres, and d represents the horizontal distance of the ball from home plate, in metres.

a)What is the maximum height the ball will reach?

b)What is the horizontal distance of the ball from home plate when it reaches its maximum height?

c)What was the initial height of the ball?

d)If no one caught the ball, how far from home plate would it first hit the ground, to the nearest tenth of a metre?

[4]13.Determine the vertex for the function y = -4x2 + 32x +21 by completing the square.

Quadratic Equations

[8]14.Solve by factoring.

a)b)

[6]15.Solve using the quadratic formula.

(i) Express as an exact answer.

(ii) Express as an approximate answer to the nearest tenth.

a)b)

[5]16.Graph y = x2 + 10x + 9 by factoring. Show all your work.

Trigonometry

[6]17.Solve the following triangles. Include a diagram.

a)In triangle ABC, A = 90, a = 15 cm and B = 47

b)In triangle DEF, D = 90, e = 8m, f= 12m

[3]18.In triangle PQR, R = 68, r = 15 m and q = 16 m. Find Q. Include a diagram.

[3]19.In triangle WXY, w = 23 m, x = 27 m and y = 29 m. Find the largest angle. Include a diagram.

[5]20.Find BD, to the nearest metre.

[4]21.Samuel, Ammar and Kayla are practicing for an ultimate Frisbee game. Samuel is 8 m from Ammar. Ammar is 10 m from Kayla. Ammar receives a throw from Samuel then turns 40 to throw to Kayla. How far apart are Kayla and Samuel?