DAY 3
Math II: Multiple Choice Warm-up Questions
1) Which rotation will carry a regular hexagon onto itself?
a) a 30o counterclockwise rotation
b) a 90o counterclockwise rotation
c) a 120o counterclockwise rotation
d) a 270o counterclockwise rotation
2) Angles F and G are complementary angles. As the measure of angle F varies from a value of x to a
value of y, sin(F) increases by 0.2. How does cos(G) change as F varies from x to y?
a) It increases by a greater amount.
b) It increases by the same amount.
c) It increases by a lesser amount.
d) It does not change.
3) Which graph displays the function f(x) = (2x + 3)(x – 2)?
a)
b)
c)
d)
4) Which function is even?
a) f(x) = (x + 2)(x – 2)
b) f(x) = x(x + 2)
c) f(x) = (x + 1)(x – 2)
d) f(x) = (x – 1)(x – 1)
5) The time, t, in hours, that it takes x people to plant n trees varies directly with the number of
trees, and inversely with the number of people. Suppose 6 people can plant 12 trees in 3 hours.
How many people are needed to plant 28 trees in 5 hours and 15 minutes?
a) 6
b) 7
c) 8
d) 9
6) The heights of two different projectiles after they are launched are modeled by f(x)
and g(x). The function f(x) is defined as f(x) = –16x2 + 42x + 12. The table contains the values for
the quadratic function g.
What is the approximate difference in the maximum heights achieved by
the two projectiles?
a) 0.2 feet
x
g(x)
0
9
1
33
2
25
b) 3.0 feet
c)
5.4 feet
d) 5.6 feet
7) Congruent squares, with side lengths of x, are cut from the corners of a 12 inch-by-16 inch piece of
cardboard to form an open box. Which equation models the surface area, y, of the open box after
the corners are cut away?
a) y = (16 – 2x)(12 – 2x)
b) y = (16 – 2x)(12 – 2x) + 4x2
c) y = 192 – 16x2
d) y = 192 – 4x2
8) Kathleen rotated an isosceles trapezoid 360o around its longest base. Which choice could the
resulting solid?
a)
b)
c)
d)
9) Twenty-one students at a school have an allergy to peanuts, shellfish, or both.

Fourteen students at the school are allergic to peanuts.

Twelve students at the school are allergic to shellfish.
How many of the students are allergic to both peanuts and shellfish?
a) 12
b) 7
c) 5
d) 2