Transcript Study Island – Post Test
Study Island – Post Test
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1.
Which of the following is equivalent to ?
A.
B.
C.
D.
2.
The measure of PQR is 60°. The length of radius QR is 7 inches. What is the area of sector PQR? (Use 3.14 for .) Note: Picture not drawn to scale.
3.
A.
51.31 in 2
B.
3.67 in 2
C.
25.64 in 2
D.
7.33 in 2 If the side length,
s
, is 5 cm and the altitude,
h
, is 7 cm, what is the volume of the pyramid?
A.
175.00 cm 3
B.
11.67 cm 3
C.
233.33 cm 3
D.
58.33 cm 3
4.
Which of the following represents the graph of the equation below? y = x 2 - 2
W.
X.
A.
Y
B.
X
C.
W
D.
Z
Y.
Z.
5.
Which type of construction is illustrated below?
A.
a 60° angle
B.
angle addition
C.
a congruent angle
D.
angle subtraction
6.
If m QSR is 44°, what is the measure of arc QR?
A.
44°
B.
88°
C.
272°
D.
22°
7.
Which of the following is equivalent to ?
A.
B.
C.
D.
8.
The vertices of a triangle are listed below.
Q
(-6,2),
R
(3,2),
S
(-9,-5) Which of the following correctly classifies the triangle?
A.
The triangle is an acute isosceles triangle.
B.
The triangle is an acute scalene triangle.
C.
The triangle is an obtuse scalene triangle.
D.
The triangle is a right isosceles triangle.
9.
What are the roots of the quadratic equation x 2 - 11x + 18 = 0?
A.
2 and -9
B.
-2 and 9
C.
-2 and -9
D.
2 and 9
10.
Solve for x.
A.
B.
C.
D.
11.
Which theorem of congruence should be used to prove EFG MLK?
A.
Side-Side-Side (SSS)
B.
Angle-Angle-Side (AAS)
C.
Side-Angle-Side (SAS)
D.
Angle-Side-Angle (ASA)
12.
Which of the following is equivalent to the expression below?
A.
B.
C.
D.
13.
Determine the following product.
A.
B.
C.
D.
14.
To aid in her understanding of the math problem, Susan is graphing the equations y = x 2 and y = x 2 + 2. How does adding the number 2 to x 2 change the graph of y = x 2 ?
A.
The graph of x 2 is shifted 2 units to the right.
B.
The graph of x 2 is shifted 2 units downward.
C.
The graph of x 2 is shifted 2 units to the left.
D.
The graph of x 2 is shifted 2 units upward.
15.
What is the approximate area of the shaded region given x = 6 units?
A.
20.48 square units
B.
81.92 square units
C.
31.09 square units
D.
144.27 square units
16.
Is triangle EFG congruent to triangle JKL?
A.
Yes. Triangle EFG was reflected across its side EG, translated 5 units to the left, and translated 6 units down to create triangle JKL.
B.
No. Triangle EFG is not congruent to triangle JKL.
C.
Yes. Triangle EFG was reflected across its side EG, translated 6 units to the left, and translated 5 units down to create triangle JKL.
D.
Yes. Triangle EFG was reflected across its side FG, translated 5 units to the left, and translated 2 units down to create triangle JKL.
17.
Tokyo-Moto Quad Racers found that its daily profit,
P
, in thousands, is given by
P
= -6
x
2 + 72
x
- 190 where
x
is the number of Quad Racers manufactured daily. Which of the following is the best estimate for the maximum profit the manufacturer can earn per day, in thousands?
A.
32
B.
12
C.
30
D.
26
18.
Given:
DEGF is a parallelogram and EF is a diagonal of DEGF.
Prove:
D G
Proof: Statements
1. DEGF is a parallelogram. 1. Given 2. DE FG and DF 3. EF EF 4. DEF DFE 5. DFE GFE and GEF GEF EG 6. D G Which reason completes the proof?
A.
AAA
B.
AA
C.
ASA
D.
SAS 2. Definition of a Parallelogram 3. Reflexive Property 4. Alternate interior angles are congruent. 5. 6. CPCTC
Reasons 19.
A restaurant has 10 chicken dishes on the menu. It has 7 chicken dishes with pasta, and 15 pasta dishes. What is the probability that a dish has pasta given that it is chicken?
A.
B.
C.
D.
20.
Solve: y = 2x 2 + 16 y = 4 - 10x
A.
{(3 , -26) , (-2 , 24)}
B.
{(0 , 16) , (3 , 34)}
C.
{(-3 , 34) , (-2 , 24)}
D.
{(-3 , 34) , (2 , -16)}