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1 | ![](/olcweb/styles/shared/spacer.gif) | ![](/olcweb/styles/shared/spacer.gif) Use prime factorization to determine the square root of 576. Do not use a calculator. |
| ![](/olcweb/styles/shared/spacer.gif) | A)![](/olcweb/styles/shared/spacer.gif) | 12 |
| ![](/olcweb/styles/shared/spacer.gif) | B)![](/olcweb/styles/shared/spacer.gif) | 24 |
| ![](/olcweb/styles/shared/spacer.gif) | C)![](/olcweb/styles/shared/spacer.gif) | 48 |
| ![](/olcweb/styles/shared/spacer.gif) | D)![](/olcweb/styles/shared/spacer.gif) | 72 |
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2 | ![](/olcweb/styles/shared/spacer.gif) | ![](/olcweb/styles/shared/spacer.gif) Josie’s backyard is a square with an area of 256 m2. She plans to put a fence around the perimeter of the yard. What length of fence does she need? |
| ![](/olcweb/styles/shared/spacer.gif) | A)![](/olcweb/styles/shared/spacer.gif) | 256 m |
| ![](/olcweb/styles/shared/spacer.gif) | B)![](/olcweb/styles/shared/spacer.gif) | 64 m |
| ![](/olcweb/styles/shared/spacer.gif) | C)![](/olcweb/styles/shared/spacer.gif) | 32 m |
| ![](/olcweb/styles/shared/spacer.gif) | D)![](/olcweb/styles/shared/spacer.gif) | 16 m |
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3 | ![](/olcweb/styles/shared/spacer.gif) | ![](/olcweb/styles/shared/spacer.gif) Use prime factorization to determine the cube root of 1728. Do not use a calculator. |
| ![](/olcweb/styles/shared/spacer.gif) | A)![](/olcweb/styles/shared/spacer.gif) | 36 |
| ![](/olcweb/styles/shared/spacer.gif) | B)![](/olcweb/styles/shared/spacer.gif) | 24 |
| ![](/olcweb/styles/shared/spacer.gif) | C)![](/olcweb/styles/shared/spacer.gif) | 12 |
| ![](/olcweb/styles/shared/spacer.gif) | D)![](/olcweb/styles/shared/spacer.gif) | 6 |
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4 | ![](/olcweb/styles/shared/spacer.gif) | ![](/olcweb/styles/shared/spacer.gif)
Write | ![](/sites/dl/free/0070002479/775989/Ch4_image001.gif) (0.0K) | as a power with a single, positive exponent. |
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| ![](/olcweb/styles/shared/spacer.gif) | A)![](/olcweb/styles/shared/spacer.gif) | b–8 |
| ![](/olcweb/styles/shared/spacer.gif) | B)![](/olcweb/styles/shared/spacer.gif) | b2 |
| ![](/olcweb/styles/shared/spacer.gif) | C)![](/olcweb/styles/shared/spacer.gif) | ![](/sites/dl/free/0070002479/775989/Ch4_image002.gif) (0.0K) |
| ![](/olcweb/styles/shared/spacer.gif) | D)![](/olcweb/styles/shared/spacer.gif) | b–2 |
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5 | ![](/olcweb/styles/shared/spacer.gif) | ![](/olcweb/styles/shared/spacer.gif)
Write | ![](/sites/dl/free/0070002479/775989/Ch4_image003.gif) (0.0K) | as a power with a single, positive exponent. |
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| ![](/olcweb/styles/shared/spacer.gif) | A)![](/olcweb/styles/shared/spacer.gif) | 36 |
| ![](/olcweb/styles/shared/spacer.gif) | B)![](/olcweb/styles/shared/spacer.gif) | 318 |
| ![](/olcweb/styles/shared/spacer.gif) | C)![](/olcweb/styles/shared/spacer.gif) | 35 |
| ![](/olcweb/styles/shared/spacer.gif) | D)![](/olcweb/styles/shared/spacer.gif) | ![](/sites/dl/free/0070002479/775989/Ch4_image004.gif) (0.0K) |
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6 | ![](/olcweb/styles/shared/spacer.gif) | ![](/olcweb/styles/shared/spacer.gif) The total value of the goods and services produced in Canada in 2009 was about $680 000 000 000, or $680 billion. The population of Canada in 2009 was about 34 000 000. Use powers and exponent laws to determine the value of goods and services produced per person, without using a calculator.
![](/sites/dl/free/0070002479/775988/M10Ch4Qu6.jpg) (2.0K) |
| ![](/olcweb/styles/shared/spacer.gif) | A)![](/olcweb/styles/shared/spacer.gif) | $20 |
| ![](/olcweb/styles/shared/spacer.gif) | B)![](/olcweb/styles/shared/spacer.gif) | $5000 |
| ![](/olcweb/styles/shared/spacer.gif) | C)![](/olcweb/styles/shared/spacer.gif) | $20 000 |
| ![](/olcweb/styles/shared/spacer.gif) | D)![](/olcweb/styles/shared/spacer.gif) | $50 000 |
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7 | ![](/olcweb/styles/shared/spacer.gif) | ![](/olcweb/styles/shared/spacer.gif)
Write | ![](/sites/dl/free/0070002479/775989/Ch4_image006.gif) (0.0K) | as a power with a single exponent. |
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| ![](/olcweb/styles/shared/spacer.gif) | A)![](/olcweb/styles/shared/spacer.gif) | 33 |
| ![](/olcweb/styles/shared/spacer.gif) | B)![](/olcweb/styles/shared/spacer.gif) | 32 |
| ![](/olcweb/styles/shared/spacer.gif) | C)![](/olcweb/styles/shared/spacer.gif) | 3–2 |
| ![](/olcweb/styles/shared/spacer.gif) | D)![](/olcweb/styles/shared/spacer.gif) | 3–3 |
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8 | ![](/olcweb/styles/shared/spacer.gif) | ![](/olcweb/styles/shared/spacer.gif)
Without using a calculator, evaluate | ![](/sites/dl/free/0070002479/775989/Ch4_image007.gif) (0.0K) | for y = 9. |
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| ![](/olcweb/styles/shared/spacer.gif) | A)![](/olcweb/styles/shared/spacer.gif) | –3 |
| ![](/olcweb/styles/shared/spacer.gif) | B)![](/olcweb/styles/shared/spacer.gif) | ![](/sites/dl/free/0070002479/775989/Ch4_image008.gif) (0.0K) |
| ![](/olcweb/styles/shared/spacer.gif) | C)![](/olcweb/styles/shared/spacer.gif) | ![](/sites/dl/free/0070002479/775989/Ch4_image009.gif) (0.0K) |
| ![](/olcweb/styles/shared/spacer.gif) | D)![](/olcweb/styles/shared/spacer.gif) | 3 |
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9 | ![](/olcweb/styles/shared/spacer.gif) | ![](/olcweb/styles/shared/spacer.gif) The population of the world in 2009 was about 6.8 billion. If the current rate of growth continues, the population in subsequent years can be modelled using the equation P = 6.8(1.011t), where t is the number of years since 2009. What is the estimated population in 2050, to the nearest tenth of a billion? |
| ![](/olcweb/styles/shared/spacer.gif) | A)![](/olcweb/styles/shared/spacer.gif) | 10.9 billion |
| ![](/olcweb/styles/shared/spacer.gif) | B)![](/olcweb/styles/shared/spacer.gif) | 10.8 billion |
| ![](/olcweb/styles/shared/spacer.gif) | C)![](/olcweb/styles/shared/spacer.gif) | 10.6 billion |
| ![](/olcweb/styles/shared/spacer.gif) | D)![](/olcweb/styles/shared/spacer.gif) | 10.5 billion |
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10 | ![](/olcweb/styles/shared/spacer.gif) | ![](/olcweb/styles/shared/spacer.gif)
Convert | ![](/sites/dl/free/0070002479/775989/Ch4_image010.gif) (0.0K) | to an entire radical. |
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| ![](/olcweb/styles/shared/spacer.gif) | A)![](/olcweb/styles/shared/spacer.gif) | ![](/sites/dl/free/0070002479/775989/Ch4_image011.gif) (0.0K) |
| ![](/olcweb/styles/shared/spacer.gif) | B)![](/olcweb/styles/shared/spacer.gif) | ![](/sites/dl/free/0070002479/775989/Ch4_image012.gif) (0.0K) |
| ![](/olcweb/styles/shared/spacer.gif) | C)![](/olcweb/styles/shared/spacer.gif) | ![](/sites/dl/free/0070002479/775989/Ch4_image013.gif) (0.0K) |
| ![](/olcweb/styles/shared/spacer.gif) | D)![](/olcweb/styles/shared/spacer.gif) | ![](/sites/dl/free/0070002479/775989/Ch4_image014.gif) (0.0K) |
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11 | ![](/olcweb/styles/shared/spacer.gif) | ![](/olcweb/styles/shared/spacer.gif) A spherical storage tank holds 1200 m3 of propane. What is the radius of the tank, to the nearest tenth of a metre?
![](/sites/dl/free/0070002479/775988/M10Ch4Qu11.jpg) (5.0K) |
| ![](/olcweb/styles/shared/spacer.gif) | A)![](/olcweb/styles/shared/spacer.gif) | 6.6 m |
| ![](/olcweb/styles/shared/spacer.gif) | B)![](/olcweb/styles/shared/spacer.gif) | 9.7 m |
| ![](/olcweb/styles/shared/spacer.gif) | C)![](/olcweb/styles/shared/spacer.gif) | 16.9 m |
| ![](/olcweb/styles/shared/spacer.gif) | D)![](/olcweb/styles/shared/spacer.gif) | 30.0 m |
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12 | ![](/olcweb/styles/shared/spacer.gif) | ![](/olcweb/styles/shared/spacer.gif)
Express | ![](/sites/dl/free/0070002479/775989/Ch4_image016.gif) (0.0K) | as an equivalent radical. |
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| ![](/olcweb/styles/shared/spacer.gif) | A)![](/olcweb/styles/shared/spacer.gif) | ![](/sites/dl/free/0070002479/775989/Ch4_image017.gif) (0.0K) |
| ![](/olcweb/styles/shared/spacer.gif) | B)![](/olcweb/styles/shared/spacer.gif) | ![](/sites/dl/free/0070002479/775989/Ch4_image018.gif) (0.0K) |
| ![](/olcweb/styles/shared/spacer.gif) | C)![](/olcweb/styles/shared/spacer.gif) | ![](/sites/dl/free/0070002479/775989/Ch4_image019.gif) (0.0K) |
| ![](/olcweb/styles/shared/spacer.gif) | D)![](/olcweb/styles/shared/spacer.gif) | ![](/sites/dl/free/0070002479/775989/Ch4_image020.gif) (0.0K) |
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13 | ![](/olcweb/styles/shared/spacer.gif) | ![](/olcweb/styles/shared/spacer.gif)
Express | ![](/sites/dl/free/0070002479/775989/Ch4_image021.gif) (0.0K) | as an equivalent power. |
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| ![](/olcweb/styles/shared/spacer.gif) | A)![](/olcweb/styles/shared/spacer.gif) | 329 |
| ![](/olcweb/styles/shared/spacer.gif) | B)![](/olcweb/styles/shared/spacer.gif) | 3220 |
| ![](/olcweb/styles/shared/spacer.gif) | C)![](/olcweb/styles/shared/spacer.gif) | 324/5 |
| ![](/olcweb/styles/shared/spacer.gif) | D)![](/olcweb/styles/shared/spacer.gif) | 325/4 |
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14 | ![](/olcweb/styles/shared/spacer.gif) | ![](/olcweb/styles/shared/spacer.gif)
Convert | ![](/sites/dl/free/0070002479/775989/Ch4_image026.gif) (0.0K) | to a mixed radical. |
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| ![](/olcweb/styles/shared/spacer.gif) | A)![](/olcweb/styles/shared/spacer.gif) | ![](/sites/dl/free/0070002479/775989/Ch4_image027.gif) (0.0K) |
| ![](/olcweb/styles/shared/spacer.gif) | B)![](/olcweb/styles/shared/spacer.gif) | ![](/sites/dl/free/0070002479/775989/Ch4_image028.gif) (0.0K) |
| ![](/olcweb/styles/shared/spacer.gif) | C)![](/olcweb/styles/shared/spacer.gif) | ![](/sites/dl/free/0070002479/775989/Ch4_image029.gif) (0.0K) |
| ![](/olcweb/styles/shared/spacer.gif) | D)![](/olcweb/styles/shared/spacer.gif) | ![](/sites/dl/free/0070002479/775989/Ch4_image030.gif) (0.0K) |
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15 | ![](/olcweb/styles/shared/spacer.gif) | ![](/olcweb/styles/shared/spacer.gif)
Convert | ![](/sites/dl/free/0070002479/775989/Ch4_image031.gif) (0.0K) | to an entire radical. |
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| ![](/olcweb/styles/shared/spacer.gif) | A)![](/olcweb/styles/shared/spacer.gif) | ![](/sites/dl/free/0070002479/775989/Ch4_image032.gif) (0.0K) |
| ![](/olcweb/styles/shared/spacer.gif) | B)![](/olcweb/styles/shared/spacer.gif) | ![](/sites/dl/free/0070002479/775989/Ch4_image033.gif) (0.0K) |
| ![](/olcweb/styles/shared/spacer.gif) | C)![](/olcweb/styles/shared/spacer.gif) | ![](/sites/dl/free/0070002479/775989/Ch4_image034.gif) (0.0K) |
| ![](/olcweb/styles/shared/spacer.gif) | D)![](/olcweb/styles/shared/spacer.gif) | ![](/sites/dl/free/0070002479/775989/Ch4_image035.gif) (0.0K) |
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16 | ![](/olcweb/styles/shared/spacer.gif) | ![](/olcweb/styles/shared/spacer.gif)
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| ![](/olcweb/styles/shared/spacer.gif) | A)![](/olcweb/styles/shared/spacer.gif) | ![](/sites/dl/free/0070002479/775989/Ch4_image038.gif) (0.0K), ![](/sites/dl/free/0070002479/775989/Ch4_image037.gif) (0.0K), ![](/sites/dl/free/0070002479/775989/Ch4_image036.gif) (0.0K) |
| ![](/olcweb/styles/shared/spacer.gif) | B)![](/olcweb/styles/shared/spacer.gif) | ![](/sites/dl/free/0070002479/775989/Ch4_image036.gif) (0.0K), ![](/sites/dl/free/0070002479/775989/Ch4_image037.gif) (0.0K), ![](/sites/dl/free/0070002479/775989/Ch4_image038.gif) (0.0K) |
| ![](/olcweb/styles/shared/spacer.gif) | C)![](/olcweb/styles/shared/spacer.gif) | ![](/sites/dl/free/0070002479/775989/Ch4_image037.gif) (0.0K), ![](/sites/dl/free/0070002479/775989/Ch4_image038.gif) (0.0K), ![](/sites/dl/free/0070002479/775989/Ch4_image036.gif) (0.0K) |
| ![](/olcweb/styles/shared/spacer.gif) | D)![](/olcweb/styles/shared/spacer.gif) | ![](/sites/dl/free/0070002479/775989/Ch4_image037.gif) (0.0K), ![](/sites/dl/free/0070002479/775989/Ch4_image036.gif) (0.0K), ![](/sites/dl/free/0070002479/775989/Ch4_image038.gif) (0.0K) |
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