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Worksheetsalgebra 2 eoc review
Total questions: 117
Worksheet time: 14hrs 22mins
Name
Class
Date
1.
Which equation can be used to find the nth term for the sequence below?
2, 5, 10, 17, ...
t=term
n=term number
2, 5, 10, 17, ...
t=term
n=term number
a)
t=n+3
b)
t=n2+1
c)
t=2n+1
d)
t=3n-1
2.
Solve the system:
(x/3)+(4y/3)=100
3x-4y=100
(x/3)+(4y/3)=100
3x-4y=100
a)
(0,25)
b)
(50,12.5)
c)
(50,100)
d)
(100, 50)
3.
How does the graph of the function g(x)=x3+1 compare to the parent function f(x)=x3
a)
shifted up 1 unit
b)
shifted down 1 unit
c)
shifted left 1 unit
d)
shifted right 1 unit
4.
Barry is planning to raise some money for his senior dues. He will sell sports drinks, a, for $1.65 each and granola bars, b, for $0.85 each. Which equation models how much money, t, Barry will raise from his sales?
a)
t=(1.652)/(0.85b)
b)
t=1.65a+0.85b
c)
t=1.65a-0.85b
d)
t=(1.65a)(0.85b)
5.
Which function is represented by the graph?
a)
y=-3x+3
b)
y=-(1/3)x+3
c)
y=-3x-1+3
d)
y=-(1/3)x-1+3
6.
Yara runs 2 miles the first day. She wants to run a quarter of a mile farther each day. What type of graph would show how much she runs each day?
a)
absolute value
b)
exponential
c)
quadratic
d)
linear
7.
Consider the function g(x) = a(3x) , where a > 0. What happens to g(x) as the value of a increases?
a)
g(x) will increase at a faster rate.
b)
g(x) will increase at a slower rate.
c)
g(x) will decrease at a faster rate.
d)
g(x) will decrease at a slower rate.
8.
Which expression is the simplified form of:
((6x-4y3)/(2x-1y3))2
((6x-4y3)/(2x-1y3))2
a)
6/(x6)
b)
9/(x6)
c)
9/(x10)
d)
3x15
9.
Which function generates the pattern shown in the table?
x y
0 1
1 2
2 4
3 8
4 16
x y
0 1
1 2
2 4
3 8
4 16
a)
y=2x
b)
y=log2x
c)
y=x2+1
d)
y=x3+1
10.
What is the solution to √(5x+6)+3=7
a)
x=4/5
b)
x=2
c)
x=34/5
d)
x=8
11.
John is buying a car for $8,000. The value of the car will decrease by 5% each year. Which equation can he use to predict the value of the car after 3 years?
a)
y=8,000(0.05)3
b)
y=8,000(1-0.5)3
c)
y=8,000(1-0.05)3
d)
y=8,000(1+0.05)3
12.
Jean graphed y = (3/4)x - 2. Then she shifted the y-intercept down 3 units and doubled the slope. What is the equation of her new line?
a)
y=(3/8)x-4
b)
y=(3/8)x-3
c)
y=(3/2)x-5
d)
y=(3/2)x-10
13.
Which function has x-intercepts of 2 and -5?
a)
f(x)=x2+2x-5
b)
f(x)=x2-3x-10
c)
f(x)=x2+3x-10
d)
f(x)=x2+7x+10
14.
What is the point of intersection for f(x)=2xand g(x)=(1/2)x
a)
(0,1)
b)
(1,0)
c)
(1,1/2)
d)
(2,4)
15.
What is the expanded form of 3x(x+3)2
a)
3x3+27x
b)
3x3+18x
c)
3x3+18x2+18x
d)
3x3+18x2+27x
16.
Which expression shows x2-6-x factored completely?
a)
(x+2)(x-3)
b)
(x+2)(x+3)
c)
(x-2)(x-3)
d)
(x-2)(x+3)
17.
Students in a science class recorded the number of plastic water bottles collected at their school. On the first day, 5 water bottles were collected. Each day after that, the number of water bottles was twice the number collected on the previous day. Which type of function could be written to represent the number of water bottles collected?
a)
absolute value
b)
exponential
c)
quadratic
d)
linear
18.
The graph of the function g(x) = √-x s a reflection of the parent function f(x) = √x What is the line of reflection?
a)
the x-axis
b)
the y-axis
c)
the line y=x
d)
the line y=-x
19.
Simplify: 3x(x+y)-7y(x+y)
a)
5x-5y
b)
-4x2y2+4xy
c)
3x2+2y-7xy
d)
3x2-4xy-7y2
20.
What is the equation of the asymptote of the graph of y=5x+3
a)
y=0
b)
y=1
c)
y=3
d)
y=8
21.
Rachel wants to increase the area of her garden, as shown below.
What value for x allows for the new garden area to be 42 square feet?
What value for x allows for the new garden area to be 42 square feet?
a)
3.0 ft
b)
3.5 ft
c)
4.0 ft
d)
7.0 ft
22.
Ellis is studying the graph of a function with the general equation f(x) = a(x-h)2+k. If Ellis only changes the value of a, from 1 to 5, what happens to the graph?
a)
It becomes wider.
b)
It becomes narrower.
c)
It moved up 4 units.
d)
It moved to the right 4 units.
23.
a)
A
b)
B
c)
C
d)
D
24.
a)
A
b)
B
c)
C
d)
D
25.
a)
A
b)
B
c)
C
d)
D
26.
a)
A
b)
B
c)
C
d)
D
27.
a)
A
b)
B
c)
C
d)
D
28.
a)
A
b)
B
c)
C
d)
D
29.
a)
A
b)
B
c)
C
d)
D
30.
a)
A
b)
B
c)
C
d)
D
31.
a)
A
b)
B
c)
C
d)
D
32.
a)
A
b)
B
c)
C
d)
D
33.
a)
A
b)
B
c)
C
d)
D
34.
a)
A
b)
B
c)
C
d)
D
35.
a)
A
b)
B
c)
C
d)
D
36.
a)
A
b)
B
c)
C
d)
D
37.
a)
A
b)
B
c)
C
d)
D
38.
a)
A
b)
B
c)
C
d)
D
39.
a)
A
b)
B
c)
C
d)
D
40.
a)
A
b)
B
c)
C
d)
D
41.
a)
A
b)
B
c)
C
d)
D
42.
a)
A
b)
B
c)
C
d)
D
43.
a)
A
b)
B
c)
C
d)
D
44.
a)
A
b)
B
c)
C
d)
D
45.
a)
A
b)
B
c)
C
d)
D
46.
a)
A
b)
B
c)
C
d)
D
47.
a)
A
b)
B
c)
C
d)
D
48.
a)
A
b)
B
c)
C
d)
D
49.
a)
A
b)
B
c)
C
d)
D
50.
a)
A
b)
B
c)
C
d)
D
51.
a)
A
b)
B
c)
C
d)
D
52.
a)
A
b)
B
c)
C
d)
D
53.
a)
A
b)
B
c)
C
d)
D
54.
a)
A
b)
B
c)
C
d)
D
55.
a)
A
b)
B
c)
C
d)
D
56.
a)
A
b)
B
c)
C
d)
D
57.
a)
A
b)
B
c)
C
d)
D
58.
a)
A
b)
B
c)
C
d)
D
59.
a)
A
b)
B
c)
C
d)
D
60.
a)
A
b)
B
c)
C
d)
D
61.
a)
A
b)
B
c)
C
d)
D
62.
a)
A
b)
B
c)
C
d)
D
63.
a)
A
b)
B
c)
C
d)
D
64.
a)
A
b)
B
c)
C
d)
D
65.
a)
A
b)
B
c)
C
d)
D
66.
a)
A
b)
B
c)
C
d)
D
67.
a)
A
b)
B
c)
C
d)
D
68.
a)
A
b)
B
c)
C
d)
D
69.
a)
A
b)
B
c)
C
d)
D
70.
a)
A
b)
B
c)
C
d)
D
71.
a)
A
b)
B
c)
C
d)
D
72.
a)
A
b)
B
c)
C
d)
D
73.
Find a9 in the sequence 4, 8, 16, 32, ...
a)
384
b)
512
c)
768
d)
1,024
74.
Expand
a)
log8x+log8y+log8z
b)
5log8x+5log8y+5log8z
c)
log8xy+5log8z
d)
log8x+log8y+5log8z
75.
Condense
a)
log8(x6)/log8(y3)
b)
log8(x6/y3)
c)
log8(x/y3)
d)
log8(x6y3)
76.
Expand
a)
6log4u - 36log4v
b)
log4u - 6log4v
c)
6log4u + 36log4v
d)
6log4u / 36log4v
77.
Solve for n:
23n = 4
23n = 4
a)
2
b)
3
c)
2/3
d)
4
78.
Does this graph represent exponential growth or decay?
a)
Growth
b)
Decay
c)
cannot be determined
79.
A bacterial colony doubles in size every 6 hours. There are 90 bacteria present initially. Estimate the population size after 80 hours. What is the equation that models this problem?
a)
y= 90(2)6/80
b)
y= 90(6)80/2
c)
y= 2(90)6/80
d)
y= 90(2)80/6
80.
What is a, the initial amount, for the function: f(x) = 300(1.16)x?
a)
300
b)
1.16
c)
.16
d)
x
81.
The population of a small coastal resort town, currently 3400, grows at a rate of 3% per year. This growth can be expressed by the exponential equation P = 3400(1+.03)x, where P is the population after t years. Find the number of years it will take for the population to reach 10,000?
a)
20 years
b)
26 years
c)
30 years
d)
36 years
82.
Convert x2 - 9x + 20 to factored form and solve.
a)
(x-10)(x+2); x = -2, 10
b)
(x+4)(x+5); x = -5, -4
c)
(x-4)(x-5); x = 4, 5
d)
Not factorable
83.
Which equation matches the graph?
a)
y=2(2)x
b)
y=2(1/2)x
c)
y=2x
d)
y=1/2(2)x
84.
Rewrite in radical notation
a)
G
b)
O
c)
R
d)
P
85.
Simplify
a)
a
b)
b
c)
c
d)
d
86.
The volume of gas varies inversely to the pressure. The volume of a gas is 300 cm3 when the pressure is 48 kg/cm2. What will be its volume when the pressure is 72 kg/cm2?
a)
450 cm3
b)
11.52 cm3
c)
324 cm3
d)
200 cm3
87.
y varies inversely with x. If y=25 when x=3, find k.
a)
k=75
b)
k=25/3
c)
k=3/25
d)
k does not exist
88.
y varies directly with x. If y=-8 when x=3, find y when x=-6.
a)
y=-16
b)
y=16
c)
y=4
d)
y=-8/3
89.
a)
x=-4
b)
x=2
c)
x=-11
d)
x=7
90.
a)
(5, 7/9)
b)
(5, 1/2)
c)
(5, 0)
d)
(-5, 3)
91.
a)
(5,0) and (-2,0)
b)
(5,0) and (-4,0)
c)
(-5,0) and (2,0)
d)
(-2,0)
92.
a)
x=7
b)
x=7, x=-2
c)
x=-1.15, 12.15
d)
No solution
93.
a)
x=7
b)
x=7, x=-2
c)
x=-1.15, 12.15
d)
No solution
94.
a)
No solution
b)
x=5
c)
x=-3
d)
x=-5
95.
The UNT Health Science Center is studying a new strain of bacteria. The culture count starts at 48 and grows to 144 by the next day. Which equation models this situation?
a)
y=48(144)x
b)
y=144(48)x
c)
y=48(3)x
d)
y=144(1/3)x
96.
Simplify
a)
y4/x5
b)
x1/y0
c)
y4/x6
d)
y/x2
97.
Find the 8th term of a geometric sequence with a1=45 and r=2.
a)
61
b)
2880
c)
5760
d)
11520
98.
Write 4logx-4logz+logx as a single logarithm.
a)
log(x5/z4)
b)
log(x3/z4)
c)
log(x5)/log(z4)
d)
log(x3)/log(z4)
99.
What is the total value after 6 years of an initial investment of $2250 that earns interest at the rate of 7% compounded monthly?
a)
$3,376.64
b)
$3,420.23
c)
$3,424.41
d)
$3,472.12
100.
Find the partial sum.
a)
7500
b)
7650
c)
10000
d)
15000
101.
Determine the seating capacity of an auditorium with 30 rows of seats if there are 20 seats in the first row, 24 seats in the second row, 28 in the third row, and so on.
a)
1620
b)
1740
c)
2020
d)
2340
102.
The polynomial is...
a)
Odd degree, positive leading coefficient.
b)
Odd degree, negative leading coefficient.
c)
Even degree, positive leading coefficient.
d)
Even degree, negative leading coefficient.
103.
What is the range?
a)
-4 < x ≤ 5
b)
-4 ≤ x < 5
c)
-3 < y < 3
d)
-3 ≤ y ≤ 3
104.
a)
A
b)
B
c)
C
d)
D
105.
a)
A
b)
B
c)
C
d)
D
106.
a)
A
b)
B
c)
C
d)
D
107.
a)
The end behavior of the graph is x →∞, y→⁻∞ and x →⁻∞,y→⁻∞
b)
The end behavior of the graph is x →∞, y→∞ and x→⁻∞, y→∞
c)
The end behavior of the graph is x →∞, y→∞ and x→⁻∞, y→0
d)
The end behavior of the graph is x →∞,y→∞ and x→⁻∞, y→⁻∞
108.
Match the equation to its description.
a)
Reflected over x and up 4
b)
Reflected over x and down 4
c)
Reflected over x and right 4
d)
Reflected over x and left 4
109.
Evaluate g(x)= 3x2- 3 for g(-5)
a)
-78
b)
27
c)
72
d)
-18
110.
Evaluate f(x) = -2x2 + 1 for f(-3)
a)
19
b)
37
c)
-17
d)
-11
111.
When f(x) = 9-3x and g(x) = 5x-7 , find f(x)+g(x).
a)
14x-10
b)
-8x+2
c)
2x+2
d)
2x-2
112.
When f(x) = 2x and g(x) = x2+3 , find f(g(x)).
a)
x2+2x+3
b)
4x2+3
c)
2x2+3
d)
2x2+6
113.
What is the domain of the graph?
a)
-7 ≤ x < 5
b)
-3 ≤ x < 1
c)
-3 ≤ y < 1
d)
-7 ≤ y < 5
114.
Solve by Quadratic Formula
4x2-7x+5=0
4x2-7x+5=0
a)
(7±i√31)/8
b)
(-1±i√55)/8
c)
(-3±i√55)/4
d)
(1±i√57)/8
115.
Which inequality is shown?
a)
y < -5(x-2)(x-4)
b)
y < -5(x+2)(x+4)
c)
y > -5(x-2)(x-4)
d)
y > -5(x+2)(x+4)
116.
Use synthetic division
a)
2x2 - 11x + 40 - (185/x-4)
b)
2x2 + 3x + 8 + (7/x-4)
c)
2x2 + 3x + 8
d)
2x2 - x + 10 + (6/x-4)
117.
Factor Completely: 3x² + 5x - 12
a)
(3x + 4)(x-3)
b)
(3x - 4)(x + 3)
c)
(3x + 3)(x -4)
d)
(3x - 3)(x + 4)
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