MATH MODELS WITH APPLICATIONS
UNIT 4 TEST
Answer the following questions and fill in the bubble sheet provided. (1 point each)
1. TEK G.8.C
2. TEK G.8.C
Which of the following sets of numbers
represents the side lengths in units of a right
triangle?
A
5, 3.2, 4.1
B
3.6, 6, 4.8
C
4.5, 8, 6.7
D
8.5, 5.2, 10
What is the area of the square in the figure
below?
Bubble in your response to the nearest tenth.
3. TEK G.10.A
Parallelogram WBMP is shown on the grid
below.
If WBMP is reflected across the y = –x and
then translated 4 units down to become
parallelogram W’B’M’P’, what will be the
coordinate of M’?
A
(–6, –7)
B
(6, –1)
C
(6, 7)
D
(6, 3)
4. TEK G.10.A
Figure MNPQ is shown on the coordinate plane.
Which transformation creates an image with a vertex
at the origin?
F
Rotate figure MNPQ 90˚ around M
G
Reflect figure MNPQ across the line x = 1
H
Reflect figure MNPQ across the line y = 2.5
J
Translate figure MNPQ to the left 6 and down 5
5. TEK G.7.A
6. TEK 8.16.B
If quadrilateral STUV is rotated 180˚ around the
origin, in which quadrant will point S appear?
What is the value of x in the triangle and the
correct justification for setting up an equation
to find that value of x?
A
Quadrant I
B
Quadrant II
C
Quadrant III
D
Quadrant IV
F
x = 12, because the triangle is equilateral
G
x = 6, because the two unknown angles
are congruent
H
x = 76, because the two unknown angles
are complementary
J
x = 44, because the sum of the measures
of the angles in a triangle is 180˚
7. TEK G.4.A
8. TEK G.5.B
9. TEK G.8.C
10. TEK A.2.B
An airplane flies due east a total of 450 miles
from City A to City B. It then flies due north
600 miles from City B to City C. How far is the
airplane from its starting point in City A?
Mr. Scott asked his students to identify the
domain represented by the function graphed
below.
A
150 mi
B
500 mi
C
750 mi
D
1050 mi
Which of the following student responses is
correct?
11. TEK A.8.A
A restaurant sold a total of 418 large and small
hamburgers during one day. Total hamburger
sales were $1077. Large hamburgers sold for
$3, and small hamburgers sold for $1.50. Which
system of linear equations can be used to find l,
the number of large hamburgers sold, and s, the
number of small hamburgers sold?
A
l + s = 1077
3l + 1.5s = 418
B
l + s = 418
3l + 1.5 s = 1077
C
1.50l + 3s = 418
l + s = 1077
D
l + s = 418
1.50l + 3s = 1077
A
9.0 m
B
12.7 m
C
18.0 m
D
25.5 m
12. TEK 8.12.C
13. TEK G.5.D
A diagonal walkway through a park is 18 meters
long. If the park is a square, how long is its
sides to the nearest tenth of a meter?
HINT: Draw a picture!!!
14. TEK A.1.D
The graph is the solution for which inequality?
15. TEK G.7.B
Rectangle PQRS is shown on the grid below.
Which equation best represents a line that is parallel to PR?
A
y = 2x – 5
B
y = –2x + 4
C
y= x–2
D
y=– x+7
16. TEK G.5.D
17. TEK G.7.C
A rhombus is shown below.
Rectangle MNPQ has diagonals that intersect
at point X.
If the height, h, intersects the base at its
midpoint, which of these is closest to the height
of the rhombus?
F
0.9 inches
G
0.7 inches
H
1.4 inches
J
1.7 inches
Which of the following represents point X?
A
B
C
D
18. TEK G.7.C
Line AB is a diameter of the circle shown below.
Which is the closest to the length of the radius
of the circle?
F
3.1 units
G
4.3 units
H
6.1 units
J
12.2 units
19. TEK G.5.D Open Ended Response (5 points – 3 for answer, 2 for explanation)
Mrs. Opie is flying her single-engine plane at an altitude of 2400 feet. She sees a cornfield at an
angle of depression of 30˚.
What is Mrs. Opie’s approximate horizontal distance from the cornfield at this point?
Show all work and explain why you chose the method you did to solve this problem.