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Exam Review – MFM 2P1 1. a) b) c) d) e) f) g) h) i) j) Complete the following conversions: 1000 mL = _______ L 4. 2 cm = _______ mm 7. 12000 m = _______ km 10. 3 L = _______ cL 13. 900 cm = _______ m 16. 7000 mL = _______ L 7000 mL = _______ L 1 kg = _______ g 1100 cL = _______ L 31. 6 g = _______ cg 2. Fill in the blank with the correct units a) 8 m = 8000_____ b) 500 mm = 50_____ c) 85____= 8500 cm d)10 km = 10000_____ e) 50000 mm = 50_____ f) 85____= 8500 cm 3. Solve each proportion a) b) c) 4. If two triangles are similar, explain, in your own words, what that means? 5. The CN Tower casts a shadow 845.8m long. A 1.83m tall person standing near the tower casts a shadow 3.05m long. How tall is the CN Tower? C 6. Δ ABC is similar Δ DEF (hint: remember the properties of similar triangles) a) Find the measures of A, F, and E. A = _____________ F = _____________ E = _____________ 29 65° A e D 7. Solve for the missing side. Use the Pythagorean Theorem for both questions. 7.5 cm b) k x 6m 12. 3 cm 14 m Given the right triangle IJK, find the length of the missing side, x. Remember SOH CAH TOA J x 32o I K 6.0 f 25 35 21 80° 50 b) Find the lengths of sides e and f. *Remember how to write a proportion statement* 8. F E 9. Given the right triangle RST, find angle T. R 13 S T 12 10. Solve for x in each of the following using trig ratios. REMEMBER SOHCAHTOA!!!!! a) b) 74 x 23 x 32° 12 11. Dorel is 1.7 metres tall. He spots a butterfly on the limb of a tree. He knows the limb is 9 metres from the ground. The angle of elevation is 490 from his eyes to the butterfly. How far is the butterfly from his eyes? Draw a diagram. 12. Find the slope of the line passing through the following points. a) A(2, 3) and B(1, 5) 13. b) E(2, 7) and F(-1,2) Write the equations of the lines (y=mx + b) with: a) Slope 5 and y-intercept 4 b) Parallel to y = 2x +1 and Same y-intercept as y = x - 3 c) Slope 1 and Point (-2,2) d) Point A(3,5) and B(1,1) e) Point A(1,7) and B(-2,-2) 14. Find the point of intersection by graphing both lines on the grid below. y = -x + 1 y = 2x – 5 10 8 6 4 2 -10 -8 -6 -4 -2 2 4 6 -2 -4 -6 -8 -10 15. Write the equation 2y + 4x – 6 = 0 in slope, y-intercept form. 16. Write an equation that would represent the following scenario: Julia works at Fortino’s and earns $6 per hour plus $10 for showing up to work. 17. Determine the equation of the line that passes through the points ( -1 , 3) and (2, 9). 18. Karla is planning on renting a car for a weekend. One company charges a flat fee of $13 plus $6 per hour. The other company charges a flat fee of $25 plus $5 per day. a) Write equations that represent each of these costs. b) Determine the point of intersection both graphically and algebraically. c) What does the point of intersection represent? 19. Solve for the following linear system using substitution or elimination. a) 4 x 3 y 2 4 x y 6 b) x –y = 3 2x+y = -12 c) y = 3x – 6 4x + 2y = 8 8 10 20. Yasser is renting a car. Zeno Car Rental charges $45 for the rental of the car and $0.15 per kilometre driven. Erdos Car Rental charges $35 for the rental of the same car and $0.25 per kilometre driven. For what distance do the two rental companies charge the same amount? a) b) Write the equations to represent the total cost for each banquet hall: Find the point of intersection. 21. Factor each of the following: 22. FOIL a) x2 – x - 20 b) x2 - 9 c) x 2 15 x 56 d) x 2 4 x e) x2 – 36 f) x 2 4 x a) (x – 3)(x – 4) b) (x + 2)(x - 1) c) (x + 2)(x + 6) 22. For the parabola below, state the coordinates of the vertex, the zeros, the equation for the axis of symmetry and the direction of opening. Vertex: _____________________ X-intercepts: __________________ Axis of symmetry: _____________ Max. Or Min. Value: ____________ 23. a) Find the volume of the container. b) Find the surface area of the container. Diameter = 21 cm height = 5 cm r=4 h = 13 cm