Math II: Multiple Choice Warm-up Questions

1)  Which transformation will carry the rectangle shown below onto itself?

a)  A reflection over line m
b)  A reflection over the line y = 1
c)  A rotation of 90o counterclockwise about the origin
d)  A rotation 270o counterclockwise about the origin

2)  The graph of f(x) = x2 will be translated 5 units up and 2 units to the right. Which function describes the graph produced by the translation?

a)  g(x) = x2 – 4x + 9 b) g(x) = x2 + 4x – 1

c) g(x) = x2 – 10x + 27 d) g(x) = x2 + 10x + 23

3)  Farmer Brown built a rectangular pen for his chickens using 12 meters of fence.

·  He used part of one side of his barn as one length of the rectangular pen.

·  He maximized the area using the 12 meters of fence.

Farmer Johnson built a rectangular pen for her chickens using 16 meters of fence.

·  She used part of one side of her barn as one length of the rectangular pen.

·  The length of her pen was 2 meters more than the length of Farmer Brown’s pen.

·  The width of her pen was 1 meter more than the width of Farmer Brown’s pen.

How much larger is Farmer Johnson’s rectangular pen that Farmer Brown’s?

a)  24 square meters b) 18 square meters

c) 16 square meters d) 14 square meters

4)  Which equation has exactly one real solution?

a)  4x2 – 12x – 9 = 0 b) 4x2 + 12x + 9 = 0

c)  4x2 – 6x – 9 = 0 d) 4x2 + 6x + 9 = 0

5)  Which expression is equivalent to 8w7x-5y3z-9-23?

a) / b) / c) / d)

6)  The number of bacteria in a culture can be modeled by the function N(t) = 28t2 – 30t + 160, where t is the temperature, in degrees Celsius, the culture is being kept. A scientist wants to have fewer than 200 bacteria in a culture in order to test a medicine effectively. What is the approximate domain of temperatures that will keep the number of bacteria under 200?

a)  –1.01°C < t < 2.03°C b) –0.90°C < t < 1.97°C

b)  -0.86°C < t < 1.93°C d) – 0.77°C < t < 1.85°C

7)  A marathon is roughly 26.2 miles long. Which equation could be used to determine the time, t, it takes to run a marathon as a function of the average speed, s, of the runner where t is in hours and s is in miles per hour?

a)  t = 26.2 – 26.2s b) t=26.2- s26.2

c) t = 26.2s d) t= 26.2s

8)  Events M and N have probabilities such that P(M) = 0.4, P(N) = 0.28, P(M ∪ N) = 0.56, and P(M∩N)=0.12. Are events M and N independent?

a)  No, because P(M) – P(N) = P(M ∩N) b) no, because P(M) ∙PN≠P(M ∩ N)

c) yes, because P(M) + P(N) = P(M ∪ N) d) yes, because P(M) ∙PN≠P(M ∪ N)

9)  Which expression is equivalent to (3x5 + 17x3 – 1) + (-2x5 – 6) ?

a)  x5 + 17x3 – 7 b) x5 – 11x3 – 1

c) 5x5 + 17x3 + 7 d) -6x5 + 17x3 + 6