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WorksheetsSC: Unit 5 Right Triangles Mock Test
Total questions: 16
Worksheet time: 27mins
Name
Class
Date
1.
Find the measure of the missing angle.
a)
64o
b)
26o
c)
61o
d)
8o
2.
You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?
a)
25 feet
b)
26 feet
c)
27 feet
d)
28 feet
3.
When the angle of elevation of the sun is 78 degrees, an statue casts a shadow that is 6m long. How far is the top of the statue to the end of its shadow?
a)
1.2 m
b)
28.9 m
c)
6.1 m
d)
28.2 m
4.
A square has diagonal length 13 m. What is the side length of the square, to the nearest centimeter?
a)
9.19
b)
18.38
c)
5.10
d)
13
5.
Find the value of y.
a)
9
b)
18√2
c)
9√2
d)
(9√2)/2
6.
What are x and y in this 30-60-90 triangle?
a)
x = 6 y = 3√3
b)
x = 1.5√3 y =1.5
c)
x = 3√3 y = 6
d)
x = √3 y = 2√3
7.
A kite is on a 300-ft string. The angle of elevation from the ground to the kite is 39°. Which is the best estimate of the height of the kite above the ground?
a)
629 feet
b)
243 feet
c)
189 feet
d)
233 feet
8.
Solve for x.
a)
50.7
b)
50.1
c)
60.7
d)
61.0
9.
What are a and b in this 30-60-90 triangle?
a)
b=3.5√3 a = 7√3
b)
b = 7 a = 7√2
c)
b = 7 a = 14
d)
b = 7√3 a = 14√3
10.
What is the measure of x?
a)
12
b)
15
c)
6
d)
9
11.
If the discriminant of a quadratic equation is positive, then there will be how many and what type of solutions?
a)
one real solution
b)
two real solutions
c)
no real solutions
d)
one imaginary solution
12.
Find the missing length.
a)
x = 7
b)
x = 9
c)
x = 4
d)
x = 8
13.
A lizard is jumping across the water in search of food. The equation h = -12t2 + 6t models the lizard's height in feet above the water t seconds after he jumps. How long after jumping is he back on the water?
a)
0.1 seconds
b)
0.25 seconds
c)
0.50 seconds
d)
0.75 seconds
e)
1 second
14.
Which of the following shows
f(x) = x2 + 12x - 2
written in vertex form?
f(x) = x2 + 12x - 2
written in vertex form?
a)
f(x) = (x + 6)2 + 142
b)
f(x) = (x + 6)2 - 34
c)
f(x) = (x + 6)2 - 38
d)
f(x) = (x + 6)2 + 34
15.
Determine the value of the discriminant and name the nature of the roots for the following:
x2 + 7x + 13
Remember: b2 - 4ac
x2 + 7x + 13
Remember: b2 - 4ac
a)
400, 2 real root
b)
0, 1 real root with a multiplicity of 2
c)
-400, 2 imaginary roots
d)
-3, 2 imaginary roots
16.
The graph of f(x) = 2x2 - 4x + 3 is shifted 4 units down, producing the graph of q(x). Which equation represents the new function, q(x)?
a)
q(x) = 2x2 - 4x - 1
b)
q(x) = 2(x2 - 2x - 2)
c)
q(x) = 2x2 - 4x + 7
d)
q(x) = 2x2 - 8x - 1
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