WorksheetsFinal Exam Review Algebraic Reasoning Spring 2025
Total questions: 25
Worksheet time: 15mins
If you want to buy an item in a store that costs $35 and is on sale for 15% off, then how much would the item actually cost you after the discount? Round to the nearest cent.
$29.75
$30.50
$28.00
$31.25
If you bought a stock last year for a price of $103, and it has risen 18.4% since then, how much is the stock worth now, to the nearest cent?
$121.95
$120.50
$119.00
$125.00
The first three terms of a sequence are given. Write your answer as a decimal or whole number. Round to the nearest thousandth (if necessary).
1, 2/3, 4/9, ...
Find the 9th term.
0.039
0.125
0.222
0.500
The first three terms of a sequence are given. Write your answer as a decimal or whole number. Round to the nearest thousandth (if necessary).
456, 447, 438, ...
Find the 50th term.
6
15
24
81
Find the sum of the first 10 terms of the following sequence. Round to the nearest hundredth if necessary.
Makayla invested $970 in an account paying an interest rate of 3.8% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 10 years?
$1,400
$1,100
$1,300
$1,200
Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form. 36, 6, 1, ... This is __________ sequence and the ________________ is equal to _____
This is geometric sequence and the ratio is equal to 1/6.
This is arithmetic sequence and the difference is equal to 6.
This is arithmetic sequence and the difference is equal to -30.
This is geometric sequence and the ratio is equal to 6.
9. A bouncy ball is dropped such that the height of its first bounce is 6 feet and each successive bounce is 79% of the previous bounce's height. What would be the height of the 13th bounce? Round to the nearest tenth (if necessary).
0.5 feet
0.4 feet
0.7 feet
0.8 feet
You rent an apartment that costs $1600 per month during the first year, but the rent is set to go up 7.5% per year. What would be the rent in the 6th year? Round your answer to the nearest whole number.
$2,200
$2,400
$2,350
$2,297
11. Avery is going to invest in an account paying an interest rate of 3.5% compounded continuously. How much would Avery need to invest, to the nearest hundred dollars, for the value of the account to reach $83,000 in 6 years?
$66,300
$67,300
$70,300
$72,300
Dianelys' school is selling 100 raffle-tickets to raise money for a new gymnasium. The grand-prize is a ten-speed mountain bike. Which word or phrase describes the probability that she will win the raffle if she buys 99 tickets?
impossible
an equal chance or 50-50
likely
unlikely
Malika's school is selling 100 raffle-tickets to raise money for a new gymnasium. The grand-prize is a ten-speed mountain bike. Which word or phrase describes the probability that she will win the raffle if she buys 5 tickets?
impossible
likely
unlikely
an equal chance or 50-50
14. In a certain Algebra 2 class of 20 students, 8 of them play basketball and 5 of them play baseball. There are 10 students who play neither sport. What is the probability that a student chosen randomly from the class plays basketball or baseball?
1/2
3/5
1/4
2/5
In a certain Algebra 2 class of 28 students, 15 of them play basketball and 17 of them play baseball. There are 6 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?
1/7
3/14
2/7
5/14
Find the numerical answer to the summation given below. ∑ (from n=2 to 85) (2n + 9)
7512
8064
7200
6900
Find the numerical answer to the summation given below. ∑ (from n=0 to 60) (7n + 10)
13420
12890
14000
12000
The principal would like to assemble a committee of 16 students from the 19-member student council. How many different committees can be chosen?
4845
969
3876
27132
There were 10 students running in a race. How many different arrangements of first, second, and third place are possible?
720
120
5040
210
Find the mean of the data set shown in the table below. Data Set D: 21, 173, 122, 193, 62
114.2
94.2
134.2
154.2
How many students take 15 minutes to get to school?
3
10
2
8
For a certain class, the following data table compares how many students have a brother or a sister. What is the probability that a randomly chosen student from the class has a brother and a sister?
8/29
5/29
12/29
3/29
For a certain class, the following data table compares how many students have a brother or a sister. What is the probability that a randomly chosen student from the class has a sister?
8/29
7/26
3/13
11/26
Find the median and mean of the data set below: 50, 8, 3, 41, 9, 21
Median: 14.5, Mean: 22
Median: 21, Mean: 14.5
Median: 22, Mean: 14.5
Median: 14.5, Mean: 21
Find the median and mean of the data set below: 43, 18, 24, 49, 24
Median: 24, Mean: 31.6
Median: 24, Mean: 32.5
Median: 24, Mean: 29.6
Median: 24, Mean: 27.5
Fill in the values below and use them to create a box and whiskers plot for the following set of data. 1, 2, 3, 3, 5, 6, 8, 10, 11, 11, 12, 13, 14, 17, 18 Min: ___ Q1: ___ Med: ___ Q3: ___ Max: ___ Create the box plot by dragging the lines:
Min: 1, Q1: 3, Med: 10, Q3: 13, Max: 18
Min: 1, Q1: 5, Med: 10, Q3: 14, Max: 18
Min: 2, Q1: 3, Med: 11, Q3: 13, Max: 18
Min: 1, Q1: 3, Med: 11, Q3: 13, Max: 17
