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Math II Test 2
Math II Test 2
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Math 2 DOK 3
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Answers
1
Are these two triangles congruent? Explain.
Yes bc they have corresponding sides and angles
No bc they don't have corresponding sides and angles
2
What happens to the length of a line segment when dilated by 2?
The length is moved up 2
The length is doubled
The length is moved down 2
The length is halved
3
You're given (-3,0)(-3,-2)(-7,1)(0,8). What happens when those point are rotated 90
o
clockwise?
(0,-3)(-2,-3)(1,-7)(8,0)
(0,3)(2,3)(1,7)(8,0)
4
How do you find exterior angles?
Add interior angle to 180o
Divide interior angle from 180o
Subtract interior angle from 180o
Multiply interior angle to 180o
5
Define the key features of this graph.
All y intercepts are positive
It is a function
All of the above
It's always increasing
6
Are full-time students and going to tutoring four or more times independent?
No
Yes
7
Simplify (x
2
+7x-3) - (5x
2
+2x-7)
6x2+9x-10
-4x2+5x+4
4x2+5x+4
-4x2-5x-4
8
How do you get non real solutions?
square rooting a positive number
square rooting a negative number
9
Which, when simplified, is not imaginary?
i5
i3
i2
i1
10
Find the probability of rolling a 3 and a 5 on a pair of dice using the multiplication rule.
1/6
1/36
1/24
1/18
11
Describe the rotations and reflections that carry a rhombus onto itself.
180o rotation, reflection over y=x
270o, 180o rotation, reflection over y=-x
90o rotation, no reflections
180o rotation, no reflections
12
The equation g(x)=f(x+2) is graphed. Which h(x) equation is from moving g(x) right 2 and up 3?
h(x)=f(x+2)+3
h(x)=f(x)+3
h(x)=f(x)
h(x)=f(x)+2
13
What is C ∩ B?
9
8
15
13
14
Which transformation changes congruency between two shapes?
rotation
reflection
translation
dilation
15
Find the probability of randomly selecting a boy or a German speaker
100%
50%
46%
16%
16
Rewrite 6xy
2
as a radical expression.
√36x2y3
√36x2y4
y√6x
2y√3x
17
Determine a ratio for angles when dilating triangles by any scale factor.
1:1
1:3
1:10
1:2
18
What does this function mean: R
0,90
(x,y)=(-y,x)
to rotate 90 times
to reflect 90o around the origin
to rotate 90o around the origin
to reflect 90 times
19
Find the terms in the expression: (3x+4y-5)(-x+9)
-3x, -4xy, 27x, 36y, -45
-3x2, -4xy, 32x, 36y, -45
3x2, 4xy, 32x, 36y, 45
-4x, -3xy, 37x, 48y, -50
20
How could you use conditional probability in everyday situations?
collecting data for research
collecting statistics for debates
doing math homework
all of the above
21
Is this simplified expression quadratic?: (x+3)(x+5)
Yes
No
22
Does this experimental probability seem correct?
Yes
No
23
Is 4 + π rational?
Yes
No
24
What does standard form tell you about a quadratic function?
what the roots are
what the factors are
how to graph it
25
You are given the points (1,6) and (2,0). Which equation could possibly intersect those points?
y=-3x2+3x+6
y=3x2+3x+6
y=3x+6
x=2
26
Define extraneous solution.
realistic solution that doesn't work in the eqaution
unrealistic solution that works in the equation
27
Which rigid motion does not preserve angle measure?
stretches
dilation
translation
rotation
28
Are these triangles similar? Explain.
No bc there's nothing corresponding to the other
Yes bc it has corresponding angles and sides.
29
Are selecting a boy who can bike and selecting a girl who can't bike independent?
Yes
No
30
y=3x+4 is not on the center of dilation. It is dilated by 2. What line is its image?
y=6x+8
y=3x+8
y=6x+4
y=3x+4
31
Which type of graph would BEST represent profit depending on price?
Linear
Exponential
Circle
Quadratic
32
Describe these two functions.
f(x)=sine and max is y=1; g(x)=quadratic and max is (-1,3)
f(x)=quadratic and max is (-1,3); g(x)=sine and max is y=1
33
What angles would not equal each other if l and m were no longer parallel?
6 and 7
2 and 5
1 and 8
4 and 7
34
What do exponential and inverse variation equations have in common?
They don't curve
They curve
They always are positive
They always are negative
35
Write an equivalent radical expression of (x
13
)
10
.
x65
√x65
√x260
√x130
36
What happens to perpendicular lines when they're both transformed?
they cannot transform at all
they change shape
they stay perpendicular but have different orientation
they become parallel
37
The quadratic function x
2
+5x intersects this linear function at (5,0). What is the other root?
(5,0)
(7.5,0)
(3.33,0)
(0,0)
38
What does it meant to find A given B?
Find the probability of A and B
Find the probability of A or B
Find the probability of A out of total B
Find the probability of B out of total A
39
An equilateral triangle is dilated by 2. Name an angle measure.
180o
360o
60o
120o
40
Find x and y.
x=10√3, y=10
x=10, y=10√3
41
What type of equation best models speed?
Circle
Quadratic
Linear
Exponential
42
Find the probability that a full time student went to tutoring.
70%
78%
68%
50%
43
Define the AA criterion?
awesome arabic
alcoholics anonymous
awesome ants
for triangles, there must be two corresponding angles
44
Is it possible to complete the square with 3x
2
-6x=-16?
yes
No
45
Are these two triangles congruent? Explain
No bc the rule of SSS does not apply here
Yes bc the rule of SSS
46
How can you use dilation in real world simulations?
creating more space in your room
adding more volume
making designs bigger or smaller
making coffee
47
What are solutions to systems of functions?
where two functions intercept
where a function intercepts the y axis
48
Compare g(x)=3x+4 with the table here.
f(x)=linear and positive slope; g(x)=quadratic and positive
f(x)=quadratic and positive; g(x)=linear and positive slope
49
Are geometric functions possible?
Yes
No
50
What step did this student do incorrect?
Plugged in numbers incorrectly
simplified wrong
51
Complete the square of 3x
2
+12x+16=0
x={3+√20, 3-√20}
x={-2+√20, -2-√20}
x={-6+√20, -6-√20}
x={7,-1}
52
How does the Pythagorean theorem affect similarity in triangles?
It determines corresponding side lengths
None of the above
It determines if they are similar
It determines corresponding angles
53
Are triangle Y and triangle A congruent? Explain.
No bc they cannot be mapped onto each other
Yes bc they're mapped onto each other by a 180o rotation
54
Adam's on top of a 50ft lighthouse. There's a boat 90ft diagonally. How far from each other?
70 ft
74.8 ft
84.8 ft
80 ft