Chapter 3 Test: A couple of ‘thinkers’:



Chapter 3 Test: A couple of ‘thinkers’:

1. The volume of a right rectangular prism is represented by the trinomial [pic].

Use factoring to determine the length and width of the prism when the height is [pic].

2. A picture and its frame have dimensions as shown.

a) Find an expression for the area of the frame, in factored form.

b) Determine the area of the frame when [pic] cm.

3. A cube has edge length 2r + 1. A right square prism with dimensions r by r by 2r + 1 is removed from the cube. Write an expression for the volume that remains. Simplify the expression.

Chapter 3 Multiple Choice Practice Test Name ___________________________________

Identify the choice that best completes the statement or answers the question.

____ 1. Write the prime factorization of 630.

|a. |[pic] |b. |[pic] |c. |[pic] |d. |[pic] |

____ 2. Determine the greatest common factor of 56 and 88.

|a. |7 |b. |77 |c. |616 |d. |8 |

____ 3. Determine the least common multiple of 78 and 102.

|a. |1326 |b. |6 |c. |2652 |d. |7956 |

____ 4. A developer wants to subdivide a rectangular plot of land measuring 600 m by 750 m into congruent square lots. What is the side length of the largest possible square?

|a. |75 m |b. |150 m |c. |50 m |d. |30 m |

____ 5. One neighbour cuts his lawn every 8 days. Another neighbour cuts her lawn every 10 days. Suppose both neighbours cut their lawns today. How many days will pass before both neighbours cut their lawns on the same day again?

|a. |80 days |b. |2 days |c. |40 days |d. |60 days |

____ 6. A cube has volume 15 625 cm3. What is the surface area of the cube?

|a. |10 416.7 cm2 |b. |3750 cm2 |c. |132 893.3 cm2 |d. |25 cm2 |

____ 7. A cube has surface area 3750 square feet. What is its volume?

|a. |15 625 cubic feet |c. |1448 cubic feet |

|b. |25 cubic feet |d. |5625 cubic feet |

____ 8. Factor the binomial [pic].

|a. |[pic] |c. |[pic] |

|b. |[pic] |d. |[pic] |

____ 9. Factor the trinomial [pic].

|a. |[pic] |c. |[pic] |

|b. |[pic] |d. |[pic] |

____ 10. Factor the trinomial [pic].

|a. |[pic] |c. |[pic] |

|b. |[pic] |d. |[pic] |

____ 11. Which of the following trinomials can be represented by a rectangle? Use algebra tiles to check.

|a. |[pic] |c. |[pic] |

|b. |[pic] |d. |[pic] |

____ 12. Expand and simplify: [pic]

|a. |[pic] |c. |[pic] |

|b. |[pic] |d. |[pic] |

____ 13. Factor: [pic]

|a. |[pic] |c. |[pic] |

|b. |[pic] |d. |[pic] |

____ 14. Factor: [pic]

|a. |[pic] |c. |[pic] |

|b. |[pic] |d. |[pic] |

____ 15. Complete. [pic]

|a. |[pic] |c. |[pic] |

|b. |[pic] |d. |[pic] |

____ 16. Factor: [pic]

|a. |[pic] |c. |[pic] |

|b. |[pic] |d. |[pic] |

____ 17. Factor: [pic]

|a. |[pic] |c. |[pic] |

|b. |[pic] |d. |[pic] |

____ 18. Expand and simplify: [pic]

|a. |[pic] |c. |[pic] |

|b. |[pic] |d. |[pic] |

____ 19. Expand and simplify: [pic]

|a. |[pic] |c. |[pic] |

|b. |[pic] |d. |[pic] |

____ 20. Expand and simplify: [pic]

|a. |[pic] |c. |[pic] |

|b. |[pic] |d. |[pic] |

____ 21. Factor: [pic]

|a. |[pic] |c. |[pic] |

|b. |[pic] |d. |[pic] |

____ 22. Factor: [pic]

|a. |[pic] |c. |[pic] |

|b. |[pic] |d. |[pic] |

____ 23. Find an integer to replace • so that this trinomial is a perfect square.

[pic]

|a. |196 |c. |7 |

|b. |49 |d. |14 |

____ 24. Identify this polynomial as a perfect square trinomial, a difference of squares, or neither.

[pic]

|a. |Neither |c. |Perfect square trinomial |

|b. |Difference of squares |

____ 25. Factor: [pic]

|a. |[pic] |c. |[pic] |

|b. |[pic] |d. |[pic] |

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