Algebra 2 Midterm #2 Final
Assessment ID:
ib.289427
Directions: Answer the following question(s).
1
2 The equation coordinate plane.
is graphed in the
The graph of
is shown.
Which statement describes the change in the If 6 is added to the equation (like ), which option describes the new graph?
A. B. C. D.
The vertex is now located at (2, 0). The vertex is now located at (6, 0). The vertex is now located at (0, 2).
appearance of the graph if the to a 2?
A. B. C. D.
is changed
The graph will be wider. The graph will be narrower. The graph will have a new vertex. The graph will open in the opposite direction.
The vertex is now located at (0, 6).
3
What are the complex solutions to the following equation?
A. B. C. D.
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Algebra 2 Midterm #2 Final
Assessment ID:
ib.289427
Directions: Answer the following question(s).
4 A. B. C. D.
5 A. B. C. D.
6 A. B. C. D.
7 A. B. C. D.
If f(x) = x2 + 2x – 2 and g(x) = 3x + 4, what is h(x) when h(x) = f(x) – g(x)?
8
h(x) = x2 – x – 6 h(x) = x2 + 5x + 2 h(x) = x2 + 5x + 6 h(x) = 4x2 + 3x + 2 If f(x) = 4x – 2 and g(x) = 2x + 8, what is h(x) when h(x) = f(x) + g(x)?
A. B. C.
h(x) = –2x + 10 h(x) = 2x + 10
D.
h(x) = 6x + 6 h(x) = 6x + 10 If f(x) = 6x – 2 and g(x) = 2x – 10, what is the sum of f(3) and g(2)?
9
4 10 12 28 If f(x) = 12 – 3, what is one way to write 4f(x) – 2f(x)? 4 × 12 – 3 × 2 2×9 6×9 15 × 2
A. B. C. D.
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Algebra 2 Midterm #2 Final
Assessment ID:
ib.289427
Directions: Answer the following question(s).
10
For what value of a will the graph of be wider than
A. B. C. D.
13 ?
1
–6 –4
A. x = −1 + 5; x = −1 − 5
8
B. x = 2 + 5; x = 2 − 5
A student concludes that the inverse function of is Which statement regarding the student’s conclusion is true?
A. The student is incorrect because the inverse
B. The student is incorrect because
The student is correct because the reciprocal of and the opposite of
14 4 x + y ÷ −9x−9y = 2 5x
B.
−8 x + y x2y2
C.
−8y2 9
12
A. B. C. D.
10xy
is +13.
D. −8x2y2 x+y
D. The student is correct because the graphs of and
−1 5 −1 5 + ;x = − 2 2 2 2
D. x = 1 + 5; x = 1 − 5
and
9 is
x=
A. 8xy2
should be
C.
+2 4 = 2 x x
1
C.
11
What are the solutions to the following equation?
are reflections across
John is solving the equation x2- 18x = 19 by completing the square. What number should be added to both sides of the equation to complete the square? 49
15
x2+2x x2−25 = x−5 x2+7x+10
A. 1 B. x C. x+2 D.
81 18 52
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Algebra 2 Midterm #2 Final
Assessment ID:
ib.289427
Directions: Answer the following question(s).
18
16
Which graph represents Circle A with its center at
A. B. C. D.
and a radius of 4?
A.
C.
B.
D.
A B C D
17
19
A. B. C. D.
The graph of the function the coordinate plane.
is shown on
A B C D
Which value is closest to
A. B. C. 3 D. 5
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Algebra 2 Midterm #2 Final
Assessment ID:
ib.289427
Directions: Answer the following question(s).
20
What is the inverse,
of the function
23
A.
The equation of a circle is given below.
Which graph BEST represents this equation?
A. B. C. D.
21
Let
and
Which equation shows
where
B. A. B. C. D.
22
Which graph BEST represents the equation
A.
C.
B.
D.
C.
D.
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Algebra 2 Midterm #2 Final
Assessment ID:
ib.289427
Directions: Answer the following question(s).
24
Which equation represents a circle with the center at
26
and a radius of
Which equation is represented by the figure on this graph?
A. B. C. D.
25
The equation represents a circle with which of the following centers and radii?
A. B. C. D.
A. B. C. D.
27
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Which graph BEST represents the equation
A.
C.
B.
D.
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Algebra 2 Midterm #2 Final
Assessment ID:
ib.289427
Directions: Answer the following question(s).
28
A ball was thrown up into the air and allowed to bounce until it came to a halt.
29
Don has deposited $50 into a bank. At year 10, about how much more money does Don have? At which of the following intervals did the ball increase and then decrease?
A. B. C. D.
0≤x≤4 2≤x≤4 5≤x≤7 7≤x≤9
A. B. C. D.
$50 $400 $450 $500
30
In which of the following intervals is the graph decreasing?
A. B. C. D.
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–2 < x < 2 0
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Algebra 2 Midterm #2 Final
Assessment ID:
ib.289427
Directions: Answer the following question(s).
31
What is equivalent to the value of the complex number
34
?
A. –2 B.
Which graph represents the equation y = x – 2 + 1?
A.
C.
B.
D.
C. 2 D.
32
What is equivalent to the value of the complex number
A. B. C. D.
33
?
–25 5 25 –5 A system of equations is shown below. 4y – 3z – 12 = 7x 8x + 5z – y = 18 4z + 4 + 4x = –3y Which of the following inverse matrices could be used to solve this system of equations?
A.
35
−3+7i and −2+9i A. B. C. D.
36 B.
C.
What is the sum of the complex numbers listed below?
5+16i −5−16i −5+2i −5+16i What is the sum of the complex numbers listed below?
−2−5i and −2−7i A. 4+12i B. 12i C. −12i D. −4−12i
D.
37 A. B. C. D.
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If
i = −1 , then 4i 3i =
12 24 −12 −24
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