WorksheetsAlgebra I Spring Midterm 2025
Total questions: 75
Worksheet time: 38mins
Name
Class
Date
1.
A1.F-LE.A.1
Which of the following is the formula in solving the exponential growth?
a)
Option 1
b)
Option 2
c)
Option 3
d)
Option 4
2.
A1.F-LE.A.1
Which of the following is the formula in solving the exponential decay?
a)
Option 1
b)
Option 2
c)
Option 3
d)
Option 4
3.
A1.F-LE.A.1
Which of the following best describes exponential growth?
a)
A function increases at a constant rate over time.
b)
A function increases by a fixed amount over equal intervals of time.
c)
A function increases by a percentage of the current value over equal intervals of time.
d)
A function decreases as time increases.
4.
A1.F-LE.A.1
Which of the following graphs represents exponential growth?
a)
A graph with a horizontal line.
b)
A graph that decreases and flattens over time.
c)
A graph that increases rapidly as time increases.
d)
A graph that increases linearly.
5.
A1.F-LE.A.1
What does the graph represents?
a)
Exponential Growth
b)
Linear Decay
c)
Linear Growth
d)
Exponential Decay
6.
A1.F-LE.A.1
What does the graph represents?
a)
Exponential Growth
b)
Linear Decay
c)
Linear Growth
d)
Exponential Decay
7.
A1.F-LE.A.1
The original value of investment is $1400, and the value increases by 9% each year. Use an exponential growth function to find the value of the investment after 25 years.
a)
$12,000.31
b)
$12,071.13
c)
$12,072.31
d)
$12,270.31
8.
A1.F-LE.A.1
The cost of tuition at a college is $12,000 and is increasing at a rate of 6% each year. In 4 years, the tuition will be $15, 149.72, what is the growth rate?
a)
$12000
b)
.06
c)
4
d)
$15,149.72
9.
A1.F-LE.A.1
The number of student athletes at a local high school is 300 and is increasing at a rate of 8% per year. Use an exponential function to find the number of student athletes after 5 years.
a)
440 student athletes
b)
400 student athletes
c)
420 students athletes
d)
410 students athletes
10.
A1.F-LE.A.1
Annual sales for a company are $149, 999 and are increasing at a rate of 6% per year. in 7 years the annual sales will be $225,543.04, what is the initial amount?
a)
$149,999
b)
$2255,543.04
c)
6% per year
d)
7years
11.
A1.F-LE.A.1
The population of small town is 1600 and is increasing at a rate of 3% per year. What will be the population of the town after 10 years?
a)
2100 people
b)
2150 people
c)
2110 people
d)
2120 people
12.
A1.F-LE.A.1
In 1985, there were 285 cell phone subscribers in Mayville. The number of subscribers increased y 75% per year after 1985. Find the number of subscribers in 2008.
a)
110,845,988 subscribers
b)
110,890,900 subscribers
c)
110,865,977 subscribers
d)
110,825,988 subscribers
13.
A1.F-LE.A.1
In the exponential decay formula, y= a(1-r)t, what does r stands for?
a)
Initial amount
b)
Decay rate
c)
Time
d)
Function
14.
A1.F-LE.A.1
The population of the town is decreasing at a rate of 1% per year. In 2000 there were 1300 people. What is the population in the year 2008?
a)
1200
b)
1300
c)
1400
d)
1500
15.
A1.F-LE.A.1
The value of car is $18,000 and depreciating at a rate of 12% per year. In 10 years, its value will be $5013.02. What is the decay rate?
a)
12%
b)
$18,000
c)
$5013.02
d)
10 years
16.
A1.F-LE.A.1
A farmer buys a tractor for $50,000. If the tractor depreciates 10% per year, use an exponential function to find the value of the tractor in 7 years.
a)
$23,900.85
b)
$24,915.85
c)
$23,914.85
d)
24,916.85
17.
A1.F-LE.A.1
An investment of $8200 loses value at a rate of 2% per year. Find the value of the investment after 9 years.
a)
$6,836.73
b)
$6,936.73
c)
$6,736.73
d)
$6,636.73
18.
A1.F-LE.A.1
The initial value of book is $58 and decreases at a rate of 7% per year. Use the exponential function to find the value of the book after 8 years.
a)
$32.46
b)
$30.11
c)
$32.36
d)
$30.55
19.
A1.F-LE.A.1
James' 70 in. giant peach doubles in size every week. Write an expression that would represent how big the peach is after 5 weeks.
a)
Option 1
b)
Option 2
c)
Option 3
d)
Option 4
20.
A1.F-LE.A.1
Annual sales for a fast food restaurant are $650,000 and are increasing at a rate of 4% per year. Use an exponential function to find the annual sales after 7 years.
a)
$855,355.66
b)
$844,355.66
c)
$855,445.66
d)
$855,555.66
21.
A1.F-LE.A.1
Daniel's Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. What is its approximate value after 8 years?
a)
$23,219.72
b)
$35,000
c)
$24,220.60
d)
$36,000
22.
A1.F-LE.A.1
The population of the school is 800 and its increasing at a rate of 2% per year. In 9 years, its population will be 956 students. What is the t in the problem?
a)
7
b)
8
c)
9
d)
10
23.
A1.F-LE.A.1
Kathy plans to purchase a car that depreciates at a rate of 12% per year. The initial value of the car is $21,000. What will be the value of the car after 3 years?
a)
$14,320.91
b)
$15,310.91
c)
$14,310.91
d)
$15,320.91
24.
A1.F-LE.A.1
Twenty years ago, Mr. Davis purchased his home for $160,000. Since then, the value of the home has increased about 5% per year. Use an exponential function to find the value of the home today.
a)
$424,527.63
b)
$425,600.73
c)
$435,537.63
d)
$424,627.63
25.
A1.F-LE.A.1
A population of fish starts at $8,000 and decreases by 6% per year. Use an exponential function to find the population of fish in 10 years.
a)
4200 fishes
b)
4308 fishes
c)
4108 fishes
d)
4408 fishes
26.
A1.F-LE.A.2
Find next term of the geometric sequence 4, 16, 64, …
a)
256
b)
120
c)
132
d)
150
27.
A1.F-LE.A.2
Find the next three terms: -4, -12, -36, -108, ...
a)
36, -108, 324
b)
324, -972, 2916
c)
-324, -972, -2916
d)
-108, 324, -972
28.
A1.F-LE.A.2
Identify the next 3 terms in the following geometric sequence. 512, 256, 128, ___, ___, ___, ...
a)
1024, 2048, 4096
b)
32, 8, 2
c)
64, 32, 16
d)
92, 66, 38
29.
A1.F-LE.A.2
Find the common ratio of the following geometric sequence: 64, -16, 4, -1, ...
a)
r = -8
b)
r = -4
c)
r = 4
d)
r = -1/4
30.
A1.F-LE.A.2
Determine the common ratio for the geometric sequence: 2, -12, 72, …
a)
6
b)
-6
c)
1/6
d)
-1/6
31.
A1.F-LE.A.2
Find the common ratio for the geometric sequence.
100, 50, 25, 12.5 …
a)
2
b)
1/2
c)
-2
d)
-1/2
32.
A1.F-LE.A.2
What is the 9th term in a geometric sequence with a common ratio of 2 and a first term of 3?
a)
384
b)
768
c)
1536
d)
27
33.
A1.F-LE.A.2
Daisy received $2 on her first birthday. Each year, the amount of money she received tripled. How much money will she receive on her 5th birthday?
a)
$10
b)
$162
c)
$300
d)
$416
34.
A1.F-LE.A.2
You have $10 in you bank account. It doubles every month. How much money will you have after 5 months?
a)
$50
b)
$160
c)
$250
d)
$320
35.
A1.F-LE.A.2
Find the 6th term of the following geometric sequence:
2, 8, 32, 128, ...
a)
8192
b)
512
c)
2048
d)
128
36.
A1.F-LE.A.2
Find 11th term in the following geometric sequence:
-3, 6, -12, 24,...
a)
-1/256
b)
-236,196
c)
-3,072
d)
-4,096
37.
A1.F-LE.A.2
Which of the following does not represent a geometric sequence?
a)
3,6,12,24,48,…
b)
5,10,20,40,80,…
c)
1,4,9,16,25,…
d)
2,16,18,54,162,...
38.
A1.F-LE.A.2
Which of the following represents a geometric sequence?
a)
2,5,8,11,14,...
b)
3,9,27,81,243,...
c)
1,2,4,7,11,...
d)
4,8,12,16,20,...
39.
A1.F-LE.A.2
Find the first four terms of the sequence given the rule:
a)
20, 100, 500, 2500
b)
4, 20, 100, 500
c)
5, 20, 80, 320
d)
4, 9, 14, 19
40.
A1.F-LE.A.2
Which sequence is represented by the formula below?
a)
7, 14, 28, 56...
b)
2, 9, 16, 23...
c)
2, 14, 98, 686...
d)
7,9,11,13...
41.
A1.F-LE.A.2
Write an explicit rule for the general term of the sequence: 5, 15, 45, . . .
a)
Option 1
b)
Option 2
c)
Option 3
d)
Option 4
42.
A1.F-LE.A.2
Write the explicit formula for the following geometric sequence:
10, 20, 40, 80, ...
a)
Option 1
b)
Option 2
c)
Option 3
d)
Option 4
43.
A1.F-LE.A.2
Write the explicit rule for the following geometric sequence:
2, -12, 72, ...
a)
Option 1
b)
Option 2
c)
Option 3
d)
Option 4
44.
A1.F-LE.A.2
A cell phone plan starts with 1 GB of data in the first month, and the data usage doubles each month. How much data will be used in the 8th month?
a)
128 GB
b)
64 GB
c)
256 GB
d)
512 GB
45.
A1.F-LE.A.2
Solving for the nth term of geometric sequence, given that a1 = 1 and r= 2, what is the value of the 4th term?
a)
2
b)
4
c)
8
d)
16
46.
A1.F-LE.A.2
Which of the following best describes this sequence?
{135, 45, 15, 5, ...}
a)
An arithmetic sequence with a common ratio of 1/3
b)
An arithmetic sequence with a common difference of 3.
c)
A geometric sequence with a common difference of 3.
d)
A geometric sequence with a common ratio of 1/3
47.
A1.F-LE.A.2
What is a5 in the sequence defined as follows?
a)
Option 1
b)
Option 2
c)
Option 3
d)
Option 4
48.
A1.F-LE.A.2
The first term of a geometric sequence is a1=3, and the common ratio is r=2. What is the 5th term of the sequence?
a)
48
b)
24
c)
96
d)
192
49.
A1.F-LE.A.2
Which of the following is the correct definition of a geometric sequence?
a)
A sequence in which each term is the sum of the previous term and a constant.
b)
A sequence in which each term is obtained by multiplying the previous term by a constant.
c)
A sequence in which each term is the square of the previous term.
d)
A sequence in which each term is a constant value.
50.
A1.F-LE.A.2
This image shows how a certain bacteria grows in a petri dish. What is the common ratio of this sequence?
a)
4
b)
2
c)
3
d)
6
51.
A1.F-IF.B.6
Solve the given expression using the Product Rule of Exponents
a)
Option 1
b)
Option 2
c)
Option 3
d)
5
52.
A1.F-IF.B.6
Solve the given expression using the Product Rule of Exponents
a)
Option 1
b)
Option 2
c)
Option 3
d)
Option 4
53.
A1.F-IF.B.6
Solve the given expression using the Product Rule of Exponents
a)
Option 1
b)
Option 2
c)
Option 3
d)
Option 4
54.
A1.F-IF.B.6
Solve the given expression using the Product Rule of Exponents
a)
Option 1
b)
Option 2
c)
Option 3
d)
Option 4
55.
A1.F-IF.B.6
Solve the given expression using the Product Rule of Exponents
a)
Option 1
b)
Option 2
c)
Option 3
d)
Option 4
56.
A1.F-IF.B.6
Solve the given expression using the Product Rule of Exponents
a)
Option 1
b)
Option 2
c)
Option 3
d)
Option 4
57.
A1.F-IF.B.6
Solve the given expression using the Product Rule of Exponents
a)
Option 1
b)
Option 2
c)
Option 3
d)
Option 4
58.
A1.F-IF.B.6
Solve the given expression using the Product Rule of Exponents
a)
Option 1
b)
Option 2
c)
Option 3
d)
Option 4
59.
A1.F-IF.B.6
Solve the given expression using the Product Rule of Exponents
a)
Option 1
b)
Option 2
c)
Option 3
d)
Option 4
60.
A1.F-IF.B.6
Solve the given expression using the Product Rule of Exponents
a)
Option 1
b)
Option 2
c)
Option 3
d)
Option 4
61.
A1.F-IF.B.6
Solve the given expression using the Product Rule of Exponents
a)
Option 1
b)
Option 2
c)
Option 3
d)
Option 4
62.
A1.F-IF.B.6
Solve the given expression using the Product Rule of Exponents
a)
Option 1
b)
Option 2
c)
Option 3
d)
Option 4
63.
A1.F-IF.B.6
Solve the given expression using the Product Rule of Exponents
a)
Option 1
b)
Option 2
c)
Option 3
d)
Option 4
64.
A1.F-IF.B.6
Solve the given expression using the
Power Rule of Exponents
a)
Option 1
b)
Option 2
c)
Option 3
d)
Option 4
65.
A1.F-IF.B.6
Solve the given expression using the
Power Rule of Exponents
a)
Option 1
b)
Option 2
c)
Option 3
d)
Option 4
66.
A1.F-IF.B.6
Solve the given expression using the
Power Rule of Exponents
a)
Option 1
b)
Option 2
c)
Option 3
d)
Option 4
67.
A1.F-IF.B.6
Solve the given expression using the
Power Rule of Exponent
a)
Option 1
b)
Option 2
c)
Option 3
d)
Option 4
68.
A1.F-IF.B.6
Solve the given expression using the
Power Rule of Exponents
a)
Option 1
b)
Option 2
c)
Option 3
d)
Option 4
69.
A1.F-IF.B.6
Solve the given expression using the
Power Rule of Exponents
a)
Option 1
b)
Option 2
c)
Option 3
d)
Option 4
70.
A1.F-IF.B.6
Solve the given expression using the
Power Rule of Exponents
a)
Option 1
b)
Option 2
c)
Option 3
d)
Option 4
71.
A1.F-IF.B.6
Solve the given expression using the
Power Rule of Exponents
a)
Option 1
b)
Option 2
c)
Option 3
d)
Option 4
72.
A1.F-IF.B.6
Solve the given expression using the
Power Rule of Exponents
a)
Option 1
b)
Option 2
c)
Option 3
d)
Option 4
73.
A1.F-IF.B.6
Solve the given expression using the
Power Rule of Exponents
a)
Option 1
b)
Option 2
c)
Option 3
d)
Option 4
74.
A1.F-IF.B.6
Solve the given expression using the
Power Rule of Exponents
a)
Option 1
b)
Option 2
c)
Option 3
d)
Option 4
75.
A1.F-IF.B.6
Solve the given expression using the
Power Rule of Exponents
a)
Option 1
b)
Option 2
c)
Option 3
d)
Option 4
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