Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Which of these numbers is rational?  ,  ,  ,
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2.
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For which number will the fourth root be rational?
256, 27, –81, 40
000
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3.
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Which of these numbers is a natural number? 9, 0, –1,  a. | 9 | b. | 0 | c. |  | d. | –1 |
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4.
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Write  as an entire radical.
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5.
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Evaluate  without using a calculator.
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6.
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Evaluate  without using a calculator. a. | –3 | b. | 3 | c. |  | d. | does not
exist |
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7.
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Evaluate  without using a calculator.
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8.
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A cube has volume 1200 cubic inches. Write the edge length of the cube as a
power.
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9.
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Evaluate 
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10.
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Evaluate 
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11.
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Evaluate  without using a calculator.
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12.
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Paleontologists use measurements from fossilized dinosaur tracks and the
formula  to estimate the speed at which a dinosaur travelled. In the formula, v is
the speed in metres per second, s is the distance between successive footprints of the same
foot, and f is the foot length in metres. Estimate the speed of the dinosaur when the
distance between footprints, s, is 1 m and the foot length, f, is 0.65 m. a. | About 0.09 m/s | c. | About 0.43 m/s | b. | About 0.07 m/s | d. | About 0.26 m/s |
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13.
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Which power with a negative exponent is equivalent to  ?
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14.
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Which power with a negative exponent is equivalent to  ?
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15.
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Suppose you want $2000 in 3 years. The interest rate for a savings account is
2.8% compounded annually. The money, P dollars, you must invest now is given by the formula
 . How much must you invest now to have $2000 in 3 years? a. | $ 1845.02 | b. | $ 2172.75 | c. | $ 1840.99 | d. | $ 1836.58 |
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16.
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How many times as great as  is  ?
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17.
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Simplify 
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18.
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Evaluate 
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19.
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Evaluate 
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20.
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Simplify 
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Short Answer
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21.
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Between which 2 consecutive integers on a number line would you locate  ?
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22.
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Write  in simplest form.
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23.
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Write  as an entire radical.
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24.
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A cube has a volume of 1280 cubic feet. Determine the edge length of the cube as
a radical in simplest form.
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25.
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Arrange these numbers in order from least to greatest.  ,  ,
 ,  , 
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Problem
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26.
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Is the cube root of 250 rational or irrational?
Use 2 different strategies
to justify your answer.
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27.
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28.
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Here is Tanisha’s solution for evaluating a power:    Identify the errors Tanisha made. Write a correct solution.
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29.
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30.
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Koli wants to invest enough money on January 1st to pay his daughter $900 at the
end of each year for the next 6 years. The investment savings account pays 3.3% compounded
annually. The amount, A dollars, that Koli must invest on January 1st is given by the
formula:  , where P is the annual payment in dollars,
r is the annual interest rate expressed as a decimal, and t is the time in years that
the money will be invested. How much must Koli invest on January 1st?
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