Unit Test Answers

Becky is offered the two deals below.Deal 1: She will get a quarter on the first day of the week. Each day thereafter for one week, she will receive double what she received on the previous day.Deal 2: She will get $4 each day for 1 week.Which statement is true in every aspect regarding these two deals?

Which statement is true?

Carissa is budgeting for her next semester at college. She spent $50 on gas this month. Economists are predicting gas prices to rise 8% per month for the next 6 months. How much should she budget for gas if classes start next month and are 4 months long?

A furniture store offers a one-year monthly installment plan for a set of living room furniture. The payment for the first month is $65, and then it increases by 5% each month for the rest of the year. How much money is paid after 12 months? Round your answer to the nearest dollar.

Which recursive formula describes the sequence below?5, 13, 29, 61, 125, ...

What is the value of ?

The expression represents the sum of the first 200 multiples of 3. What is the sum of the first 200 multiples of 3?

A sequence can be defined by the explicit formula . Which recursive formula represents the same sequence of numbers?

Jonathan and Kevin each rewrote and evaluated the expression . They arrived at different answers. JonathanStep1:Step 2:Step 3:Solution:KevinStep 1:Step 2:Step 3:Step 4:Solution:Which of the following is true?

An arithmetic series contains 14 numbers. The first number is 12. The last number is 38. What is the sum of the series?

Cable TV service costs $1,020 per year. Joaquin estimates that the rates go up by $60 each year. The expression below represents the total amount of money spent on cable TV for the next 10 years. Which of the following is another way to write the expression?

Hannah has $1,000 in her savings account. During month 1, she withdraws $25. Each successive month, she withdraws $10 more than the previous month. The amount left in her account after 10 months can be represented by this expression: . How much remains in Hannah’s savings account after 10 months?

Which of the following can be used to evaluate the series ?

Stu takes a job with a starting salary of $65,000 for the first year. He earns a 2% increase each year. To the nearest dollar, how much does Stu make over the first five years?

What is the sum of the first 34 numbers in the series below?147 + 130 + 113 + 96 + . . .

Which geometric series converges?

Dreya is saving money to purchase a $900 computer, and she saves $10 the first week. Each week after that, she saves $3 more than the previous week, except in the last week, when she reaches $900. To have a final sum of exactly $900, how much money does Dreya need to save in her final week of saving?

What is the sum of ?

A sequence is defined by the explicit formula . Which recursive formula represents the same sequence of numbers?

Which summation formula is equivalent to the one below?

How can be rewritten?

Modern Electronics offers a one-year monthly installment plan for a big screen TV. The payment for the first month is $62, and then it increases by 4% each month for the rest of the year. Which expression can be used to find the total amount paid in the first 12 months?

Mya has a picture that measures 10 inches by 10 inches. She uses a photocopier to reduce the length and width of the picture to 75% their original size. What are the dimensions of the picture after five reductions (reducing to 75% each time)? Round any decimals to the nearest tenth.

What is the simplest form of the fraction that represents 0.3333...?

Gas prices are expected to rise 5% each week for the next six weeks. Kevin spent $52.50 to fill his tank this week. Which of the following represents the total amount Kevin can expect to spend to fill his tank over the next three weeks, if he fills his tank once a week?

The amount of interest earned on an account can be represented using the recursive formula . If , and n represents the number of months the money is invested, what is the balance at the end of each month for the first three months?