DAY 1
Math II: Multiple Choice Warm-up Questions
1) A system of equation is shown below. What is the smallest value of y in the solution set of the
system?
a) -4
c) 8
𝑦 = 𝑥 2 + 2𝑥 + 8
{
𝑦 = −4𝑥
b) -2
d) 16
2) A plane intersects a regular triangular pyramid. The plane is parallel to one of the faces of the
pyramid. What type of polygon is formed at the intersection?
a) square
b) right triangle
c) isosceles trapezoid
d) isosceles triangle
3) Triangle EGF is graphed below. Triangle EGF will be rotated 90o counterclockwise around the
origin and will then be reflected across the y-axis, producing an image triangle. Which additional
transformation will map the image triangle back onto the original triangle?
a) Rotation 270o counterclockwise around
the origin
b) Rotation 180o counterclockwise around
the origin
c) Reflection across the line y = -x
d) Reflection across the line y = x
4) A company manufactures DVDs. The company spent $247,000 to develop its process for
manufacturing the DVDs. The company spends an additional $1.25 to manufacture each DVD.
Which function represents the average total cost per DVD, y, for the company to manufacture x
total DVDs?
𝑎)𝑦 =
𝑥
1.25𝑥
𝑏) 𝑦 =
1.25𝑥
𝑥
𝑐) 𝑦 =
𝑥
1.25𝑥 + 247,000
𝑑) 𝑦 =
1.25𝑥 + 247,000
𝑥
5) If t is an unknown constant, which binomial must be a factor of 7m2 + 14m – tm – 2t?
a) 7m + t
b) m – t
c) m + 2
d) m – 2
6) The force, F, acting on a charged object varies inversely with the square of its distance, r, from
another charged object. When the two objects are 0.64 meter apart, the force acting on them is
8.2 Newtons. Approximately how much force would the object feel if it is at a distance of 0.77
meter from the other object?
a) 1.7 Newtons
b) 5.7 Newtons
c) 11.9 Newtons
d) 12.9 Newtons
7) Which statement must be true about the triangle below?
a) PQ + QS = PR + RT
b) ΔPQR = ΔPST
c) ST = 2(QR)
d) ∡S ≅∡T
8) The function 𝑓(𝑥)
=
85
𝑥
models the volume of a gas in a balloon under x units of pressure at a
constant temperature. Which best describes the domain of f(x) ?
a) 0 < x < 85
b) 0 < x < 85
c) x > 0
d) x > 0
In the figure below, a pole has two wires attached to it, one on each side, forming two right
triangles. Based on the given information, answer the questions below.
Round answers to the
nearest tenth.
9) How tall is the pole?
10) How far from the base of the pole does
Wire 2 attach to the ground?
11) How long is wire 1?