Science and Technology essay – Advantages and disadvantages of technological advances

MPM 2DC

Final Exam

Name: ___________________________________________

Knowledge
Thinking
Application
Communication
/35 marks
/17 marks
/17 marks
/17 marks

Part A: Knowledge (marks as indicated)

1. Factor by taking out the common factor. (1 mark)

2. Factor the following difference of squares. (2 marks)

3. Factor fully (3 marks)

4. Solve using elimination. Verify your solution. (4 marks)

5. Solve each triangle. Round answers to the nearest tenth, if necessary. (3 marks each, total 6 marks)

a)

b)

6. Determine the value side b. Write the length to one decimal place. (3 marks)

BB

7. Given the quadratic relation, : a. State the x-intercepts. (1 mark)

b. State the x-coordinate of the vertex. (3 marks)

c. Calculate the y-coordinate of the vertex. (1 mark)

d. Sketch the quadratic relation on the graph below. (3 marks)

.
8. The line segment AB has the endpoints A (4,-2) and B(-1,5). Calculate the following:

a) the midpoint of AB (2 marks)

b) the length of AB (2 marks)

9. A circle is defined by the equation x2 + y2 = 64.

a. State the coordinates of the centre. (1 mark)

b. State the radius. (1 mark)

10. State the maximum/minimum value of the quadratic relation,  (1 mark)

b. What is its axis of symmetry? (1 mark)

Part B: Thinking (marks as indicated – 17 marks in total)

11. Given the following graph and the values of h and k, determine its equation. (3 marks)

b. calculate the first and second differences for the equation. (4 marks)

12. One triangle has measurements of 10 cm, 8 cm and 10 cm. A second triangle has measurements of 8 cm, 6.4 cm and 8 cm. Are the triangles similar? Justify