Final Exam Review Algebraic Reasoning Spring 2025

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