Algebra II Practice Test - Broken Arrow Public Schools
[Pages:43]Algebra II Practice Test
Objective: 1.1a
3
1. Which is equivalent to 492 ? A 21 B 98 C 294 D 343
2. Which expression is another way to write 3 125x4 ?
3
A 5x4
4
B 5x3
3
C 25x4
4
D 25x3
3. If x and y are real numbers, what is the simplified radical form
1
of x2 y5 5 ?
A y 5 x2
B y x5
C y 5 x2
D y x5
Objective 1.1b
4. What is the simplified expression of 36x8 ? 4x6
A 3x B 9x C 3x2 D 9x2
5. What is the simplified form of 2 5 3 5 1 ?
A 53 B 57 C 2 53 D 2 57
6. What is the sum of 1 and 1 ?
3 25
2 3 27
A 2 21
B 7 30
C 2 33
D 11 90
7. The area of a square is 2 2 3 . What is the length of a side of the
square?
A 2 1
B 2 1
C 2 2 1
D 2 2 1
Objective 1.2a
8. Which expression represents the quotient?
A 2x4z3 x2z B 2x3z4 x2z2 C 4x4z3 3x2z D 4x3z4 3x2z2
9. Which expression represents the quotient?
A x5 3
B 3 x 5
C x6 3
D 3 x 6
8x6z4 4x4z2 4x2z
4x2 y 8xy2
12xy2 8x6 y3
10. Which expression represents the quotient? y2 4y 32 ( y 4)
A y8 B y8 C y4 D y4
11. A rectangular prism has a volume of 8x3 14x2 x 2 and a height of 2x 1. Which expression represents the area of the base of the prism? A 4x2 5x 2 B 4x2 5x 2 C 4x2 9x 4 D 4x2 9x 5
objective 1.2b
12. What is the completely simplified equivalent of x2 x 12 ? x2 6x 9
A x3 x 4
B x4 x3
C 2x2 5x 3 D 2x2 7x 21
13. Which expression represents the result of this subtraction 3x 1 x 2 ? x 2 x 1
A 2x 1 3
B 2x 1 x2 x 2
C 3x2 4x 5 3
D 2x2 4x 5 x2 x 2
14. What is the simplified equivalent of 2 x 1 ? 3 x
A 1 3 2x
B x2 x 3 3 x
C x2 5x 5 3 x
D x2 5x 7 3 x
objective 1.3b
15. Which expression is equivalent to 4i3 ?
A 12i B 12i C 64i D 64i
16. A circuit has a current of (8 + 7i) amps, and another circuit has a current of (5 - 3i) amps. What is the difference between the currents of the two circuits? A (3 - 4i) amps B (3 + 4i) amps C (3 - 10i) amps D (3 + 10i) amps
17. Which expression is equivalent to 6 4 3 ?
A 2 63 2
B 24 6i 3
C 2 6 3i 2
D 2 6 3i 2
18. What is the product of 2 3i and 5 4i ?
A 2 23i B 2 7i C 22 23i D 22 7i 19. What is the completely simplified equivalent of 2 ?
5i A 5i
12 B 5i
12 C 5i
13 D 5i
13
objective 2.1a
20. What is the parent graph of the following function and what
transformations have taken place on it: y x 32 ?
A The parent graph is y x2 , which is shifted 3 units up. B The parent graph is y x2 , which is shifted 3 units down. C The parent graph is y x2 , which is shifted 3 units to the left. D The parent graph is y x2 , which is shifted 3 units to the right.
21. What is the parent function of this graph?
A f x x2 B f x x4 C f x x2 D f x x4
objective 2.1b
22. If f (x) 3x2 2 and g(x) 4x 2 , what is the value of f g 1 ?
A -7 B -1 C 1 D 7
23.
If
f (x) x2 1 and g(x) x 1,
what
is
the
value
of
f g
x
?
A x 1
B x 1
C 1 x 1
D 1 x 1
24.
If f (x) x 1 and g(x) 2 , which graph corresponds to the function 2
of fg x ?
A line R B line S C line T D line U
Objective 2.1c
25. If f (x) 2x 7 and g(x) 3x2 1, what expression represents ( f (g(x)) ? A 6x2 5 B 6x2 12 C 3x2 2x 8 D 3x2 2x 6
26. If f g x 2x 1, how might f x and g x be defined? A f x x 1 and g x 2x 1 B f x x 1 and g x 2x 1 C f x 2x 1 and g x x 1 D f x 2x 1 and g x x 1
Objective 2.1d
27. Which statement is true for the function f (x) 1 ? x4
A 4 is not in the range of the function. B 4 is not in the domain of the function. C -4 is not in the range of the function. D -4 is not in the domain of the function.
28.
What
is
the
domain
of
the
function
f
x
x2
x5 2x 8
?
A x : x 0
B x : x 5
C x : x 2, 4
D x : x 2, 4
29. Which intervals correctly define the domain of f x 1 2 ?
x4
A , 4 and 4, B , 4 and 4, C , 4 and 4, D , 4 and 2,
30. Domain: x x 0, x 2 Range: y 3 y 3 Which graph corresponds to
the given constraints?
A
B
C D
31. Which function has the fewest domain restrictions for real numbers?
A f x 1
x 1
B f x 1
x 1
C
f
x
1 x2 1
D
f
x
1 x2 1
Objective 2.1e
32. What is the inverse of f x x 1?
A f 1 x x 1
B f 1 x x 1
C f 1 x 1
1 x
D f 1 x 1
1 x
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