10 K/U 15 Comm 12 Think 4 App Unit 2 Test Algebraic Expressions Name ________________________________ Part A: Knowledge/Understanding Identify the choice that best completes the statement or answers the question. Put your answer in the table on page 2 1. a. Which pair of functions is equivalent? c. b. d. 2. a. Which pair of functions is equivalent? c. b. d. 3. a. Simplify b. d. 4. a. b. Which expression represents the volume of the prism shown? (x+2) + (9x+3)+(4x-5) (x+2) – (9x+3) – (4x-5) 5. c. d. (x+2) (9x+3) (4x-5) 14x Simplify. a. b. . c. c. 18g d. 1 6. What are the restrictions on the variable for a. b. ? c. d. 7. No restrictions What are the restrictions on the variable for a. b. ? c. d. 8. No restrictions Which of the following is equivalent to the function a. c. b. d. 9. ? Simplify. a. c. b. d. 10. Simplify. a. 48x – 60 c. b. 1 d. 8x – 10 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 2 Part B: Communication Answer the following questions in the space provided, show full solutions for all marks. 11. Simplify the following and state restrictions on the variables for parts d and e below. (2, 2, 2, 4, 5 marks) a) 12 x 4 21x 6 c) 35 x 3 y 18 22 x 12 77 x 2 35 x 2 e) 5x 4 2 x x 6 x 4x 4 b) d) x 2 14 x 49 x 2 49 x2 4 x 2 4x 4 14 x 35 6 x 2 15 x 2 3 Part C: Thinking Answer the following questions in the space provided, show full solutions for all marks. 12. Factor the following, you do not need to state any restrictions. (2, 2, 2, 3, 3 marks) a) c) e) x 2 8x 15 2 x 2 15x 7 x 2 12 x 36 9 y 2 b) 4x 2 9 d) x 3 4 x 2 3x 12 (Hint- use grouping as a difference of squares) 4 Part D: Application Answer the following questions in the space provided, show full solutions for all marks. 13. The area of a rectangle is represented by the function A 3x 2 4 x 4 . What is the perimeter of the rectangle? Show all of your work. Hint- Area = length x width Perimeter = 2 (length + width) 4 marks 5