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WorksheetsAlgebra 2: Semester 2-MT
Total questions: 69
Worksheet time: 7hrs 20mins
Name
Class
Date
1.
Solve the equation.
a)
36
b)
18
c)
-18
d)
27
2.
Solve
a)
2
b)
1
c)
-1
d)
8
3.
Solve
a)
4
b)
-4
c)
100
d)
20
4.
a)
2, 7
b)
2
c)
7
d)
No Solution
5.
Solve and check your solution.
a)
8
b)
-8
c)
0
d)
no solution
6.
Solve.
a)
no solution
b)
6
c)
3
d)
4
7.
Identify the Range
a)
y ≤ 6
b)
All Real Numbers
c)
x ≥ 6
d)
y ≤ 3
8.
Which graph is f(x) = - (x+2)1/3 +6?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
9.
a)
14
b)
-14
c)
6
d)
-6
10.
Solve and check your solution(s).
a)
x = -2
b)
x = -2, 3
c)
x = -2, -3
d)
x = -3
11.
Solve.
a)
x = -7, x = -2
b)
x = 7, x = 2
c)
x = - 7/4
d)
no solution
12.
a)
9
b)
18
c)
486
d)
54
13.
Identify the Range
a)
(- ∞, -2 ]
b)
[ -2, ∞ )
c)
All Real Numbers
d)
[ 0, ∞)
14.
Solve the Exponential Equation
a)
-4.09
b)
-4.07
c)
-3.22
d)
-5.72
15.
Solve the Exponential Equation
a)
-1.12
b)
-1.16
c)
-0.64
d)
-2.10
16.
What is the y-intercept for the following?
a)
(0, -5.75)
b)
None
c)
(0, 5.25)
d)
(0 , -5)
17.
Solve:
log x + log 8 = 2
log x + log 8 = 2
a)
10
b)
12.5
c)
15
d)
17.5
18.
a)
A
b)
B
c)
C
d)
D
19.
What is the initial value for the function: f(x) = 300(1.16)x?
a)
300
b)
1.16
c)
.16
d)
x
20.
Twenty years ago, Mr. Davis purchased his home for $160,000. Since then, the value of the home has increased about 5% per year. How much is the home worth today?
a)
$176,783.29
b)
$424,527.63
c)
$57,357.75
d)
$532,041,076.80
21.
Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. How much will the printer be worth in 8 years?
a)
$23,219.72
b)
$136.72
c)
$51,710.94
d)
$16,710.94
22.
a)
The graph represents an exponential growth situation.
b)
Eventually, the car will be worth exactly $0.
c)
The starting value of the car was $12,000.
d)
The range for the situation is y ≥ 0.
23.
a)
x > 0
b)
y > 0
c)
-∞ < x < ∞
d)
-∞ < y < ∞
24.
a)
f(x) = 35(0.95)x
b)
f(x) = 36(0.05)x
c)
f(x) = 35(1.05)x
d)
f(x) = 36(1.5)x
25.
a)
-∞ < y < ∞
b)
y > 0
c)
-∞ < x < ∞
d)
x > 0
26.
The function to find the value of a car after t years is given by v(t) = 24,000(.75)t Which of the following statements is not true?
a)
The starting value of the car was $24,000.
b)
The y-values of the graph increase as the x-values increase.
c)
The value of b indicates this is an exponential decay situation.
d)
The horizontal asymptote is y = 0, which means the car will never have a value of $0.
27.
Emily’s parents put $1,500 in her bank account for college tuition. At an interest rate of 8.25% compounded semiannually,what will be the balance after 18 years?
a)
$6,273.50 frustrated
b)
$6,314.08 bewildered
c)
$6,385.72 pleased
d)
$6,427.94 tickled pink
28.
Caiden earned $475 from mowing lawns last summer.He deposited this money in an account that pays an interest rate of 3.8% compounded annually. What will be his balance after 15 years?
a)
$827.52 (Mr. Williams)
b)
$831.10 (Mrs. Hoch)
c)
$839.45 (Mr. Krajunus)
d)
$846.80 (Ms. Palombo)
29.
Olivia would like to buy some new furniture for her home. She decides to buy the furniture on credit with 9.5% interest compounded quarterly. If she spent $7,400, how much total will she have paid after 8 years?
a)
$15,415.94 LeBron James
b)
$15,683.28 Chase Utley
c)
$15,927.56 Serena Williams
d)
$16,349.72 Tom Brady
30.
Kennedy won $3,000 from a radio contest. If she puts this money in a bank account that earns 2.9% interest compounded quarterly, how much interest will she earn in 10 years?
a)
$915.59 Rome
b)
$933.28 Sydney
c)
$979.81 Dublin
d)
$1,005.09 Paris
31.
Shawn is buying a new Jet Ski for $12,500. He is considering two credit options. Option A offers a 6 year loan with 8.5% interest compounded quarterly, while Option B offers a 5 year loan with 10% interest compounded annually. Which is the better option and how much will he save?
a)
B; $573.83 do something crazy
b)
B; $495.21 get on the news
c)
A; $573.83 get attention
d)
A; $495.21 raise money for charity
32.
Given an investment of $1,500:
Which investment would have a larger balance after 5 years?
Option 1 - 4% compounded monthly
Option 2 - 3.9% compounded daily.
Which investment would have a larger balance after 5 years?
Option 1 - 4% compounded monthly
Option 2 - 3.9% compounded daily.
a)
Option 1
b)
Option 2
33.
Expand the logarithm.
a)
A
b)
B
c)
C
d)
D
34.
Graph
a)
A
b)
B
c)
C
d)
D
35.
Graph
a)
A
b)
B
c)
C
d)
D
36.
Match the graph with its equation
a)
y = log6(-x) + 1
b)
y = log6(x − 2) + 1
c)
y = log6(x + 2) - 1
d)
y = log(x-8) + 1
37.
Logarithms and Exponentials are what?
a)
parallel
b)
perpendiular
c)
inverses
d)
congurent
38.
Match the graph with its equation
a)
y = log5 (x + 1) + 1
b)
y = log5 (x - 1) + 1
c)
y = log5 (x2) + 1
d)
y = log5 (x)-1
39.
What are the transformations of this graph?
a)
Right 1 Up 5
b)
Right 1 Down 5
c)
Left 1 Up 5
d)
Left 1 Down 5
40.
Match the graph with its equation
a)
y = log4 (x)+2
b)
y = log4 (x + 2) + 1
c)
y = log4 (x - 1) + 2
d)
y = log4 (-x + 2)
41.
Pick the equation that matches the graph
a)
A
b)
B
c)
C
d)
D
42.
Where would the asymptote be for this graph?
a)
y = 4
b)
y = -4
c)
x = 3
d)
x = -3
43.
What is the range?
a)
(-∞, ∞)
b)
(0, ∞)
c)
[1, ∞)
d)
(1, ∞)
44.
As x --> 1, f(x) --> ____
a)
0
b)
∞
c)
-∞
d)
1
45.
As x --> ∞, f(x) --> ____
a)
0
b)
∞
c)
-∞
d)
1
46.
What is the horizontal asymptote for the graph of
f(x)=13(0.5)x-6 ?
f(x)=13(0.5)x-6 ?
a)
y=0.5
b)
y=13
c)
y=6
d)
y=0
47.
Find f(1). Explain what this value means in context.
a)
f(1) = 16
On the 16th bounce, the ball has a height of 1 foot,
b)
f(1) = 5
On the first bounce, the ball has a height of 5 feet.
c)
f(1) = 16
On the first bounce, the ball has a height of 16 feet,
d)
f(1) = 5
On the fifth bounce, the ball has a height of 1 foot.
48.
Solve for p:
4p+2 = 64
4p+2 = 64
a)
p = -16/9
b)
p = 1
c)
p = 8
d)
p = 7/6
49.
What is the turning point of the function?
a)
(5,-1)
b)
(5,1)
c)
(-5,-1)
d)
(-5,1)
50.
What is the equation of the graph?
a)
y = -√(x + 5)
b)
y = -√(x + 3)
c)
y = -√(x - 3)
d)
y = -√(x) + 3
51.
What is the equation of the graph?
a)
y = √(x - 3)
b)
y = √(x) + 3
c)
y = √(x - 5) + 4
d)
y = √(x + 5) + 4
52.
Identify the Range
a)
(- ∞, -2 ]
b)
[ -2, -∞ )
c)
(-∞, 0)
d)
[ 0, ∞)
53.
Find the domain and range of the function
Hint: Use a scratch graph to help you visualize things.
Hint: Use a scratch graph to help you visualize things.
a)
Domain: (-∞, ∞) Range: [-∞, 4]
b)
Domain: [1, ∞) Range: (-∞, 4]
c)
Domain: [-1. ∞) Range: [4, ∞)
d)
Domain: [4, ∞) Range: [-1,∞)
54.
Describe the transformation.
a)
Left 1, Reflect over x-axis, up 2
b)
Left 1, Reflect over y-axis, down 2
c)
Right 1, Reflect over x-axis, up 2
d)
Right 1, Reflect over y-axis, uo 2
55.
What kind of function is represented by the graph?
a)
Cube Root Function
b)
Cubic Function
c)
Polynomial Function
d)
Square Root Function
56.
a)
The range is y ≥ 1
b)
It has been reflected over the x-axis
c)
The function has been shifted up 1 unit
d)
The function has been shifted up 2 units
57.
Compare the two functions below. Which function has a domain x ≥ 1?
a)
f(x)
b)
g(x)
c)
Neither function
d)
Cannot be determined from the graph alone.
58.
What is the Range for the graph?
a)
A
2 ≤ y < ∞
b)
B
− ∞ < y ≤ 3
c)
C
3 ≤ y < ∞
d)
D
− ∞ < y < ∞
59.
a)
-6.16
b)
-5.11
c)
8.03
d)
-3.51
60.
Solve the Equation
a)
k = 3.39
b)
k = 2.60
c)
k = 2.58
d)
k = 3.02
61.
Solve the Equation
a)
x = 0.76
b)
x = 23.30
c)
x = 0.91
d)
x = 3.46
62.
a)
- 0.75
b)
42.4
c)
4.23
d)
19.84
63.
a)
9.08
b)
3.78
c)
1.12
d)
19.84
64.
a)
$283,890
b)
$238,900
c)
$233,890
d)
$280,120
65.
a)
$30,221
b)
$25,354
c)
$35,128
d)
$48,210
66.
a)
5log6(a) + 6log6(c) − 30log6(b)
b)
log6(a) + 6log6(c) − 5log6(b)
c)
6log6(a) − 6log6(c) − 30log6(b)
d)
6log6(a) + 6log6(c) − 30log6(b)
67.
What is the Range of the function?
a)
y < -4
b)
y > -4
c)
y > 3
d)
y < 3
68.
What is the x-intercept of this function?
a)
(2.5, 0)
b)
There is No X-Intercept
c)
(-3, 0)
d)
(0, -3)
69.
a)
log5(x2z2y10)
b)
log5(z2y2x10)
c)
log(zy2x10)
d)
log5(z2 + y2 + x10)
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