Unit 3 Test Review Algebra

Jack started a new fitness program. The first day he did 12 push-ups. The program

required him to increase the number of push-ups each day by doing 9 more than the

previous day. Which explicit formula correctly models Jack’s new program, where n is the

number of days and an is the number of push-ups on the nth day?

• a) an = 9 + 12n − 1)

• an = 12 + 9(n − 1)

• an = 12 + 9n

• an = 9 + 12n

Tags

CCSS.HSF.BF.A.2

The 22th term of the sequence -5, -11, -17, -23, ... is

• 111

• 131

• -111

• -131

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CCSS.HSF.BF.A.2

The equation A = 6700(1.015)⁸

is being used to calculate the amount of money in a

savings account. What does 1.015 represent in this equation?

• 0.015% growth

• 1.015% growth

• 1.5% growth

• 15% growth

Tags

CCSS.HSF.LE.B.5

Some banks charge a fee on savings accounts that are left inactive for an extended

period of time. In equation, y = 4,000(.78)^x , y represents one account that was left inactive

for a period of x years. What is the y-intercept of this equation and what does it represent?

• 0.78, the percent of money in the

  account initially

• 0.78, the percent of money in the

  account after x years

• 4,000, the amount of money in the

  account initially

• 4,000, the amount of money in the

  account after x years

Tags

CCSS.HSF.LE.B.5

Which situation could be modeled by a linear function?

• A gym charges a $50 initial fee and then $45 monthly

• The value of a car depreciates by 7% annually.

• The amount of money in a bank account increases by 0.21% monthly.

• The number of bacteria in a lab doubles weekly.

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CCSS.HSF.LE.A.2

CCSS.8.F.B.4

Sunny purchases a new car for $29,873. The car depreciates 12% annually.

Which expression can be used to determine the value of the car after t years?

• 29,873(0.12)^t

• 29,873(12)^t

• 29,873(1 − 0.12)^t

• 29,873(1 + 0.20)^t

Which situation could not be modeled by an exponential function?

• A population of bacteria that doubles every 3 hours

• The concentration of medicine in a person’s body that decays by a factor of

  one-third every two hours

• A bank account balance that grows at a rate of 5% per year, compounded annually

• The cost of cell phone service that charges a base amount plus 60 cents per minute

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CCSS.8.F.A.3

A student invests $400 for 3 years in a saving account that earns 4% interest per year. No

further deposits or withdrawals are made during this time. Which statement does yield the

correct balance in the account at the end of 3 years?

• 400(.96)³

• 400(1+ 0.4)³

• 400(.04)³

• 400(1.04)³

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CCSS.HSF.BF.A.2

A computer application generates a sequence of musical notes using the function

f(n) = 6(4)²ⁿ

, where n is the number of the note in the sequence and f(n) is the note

frequency in hertz. Which function will generate the same note sequence as f(n)?

• g(n) = 12(2)⁴ⁿ

• h(n) = 6(2)⁴ⁿ

• p(n) = 12(4)²ⁿ

• k(n) = 6(8)²ⁿ

Tags

CCSS.HSF.LE.A.2

Maggie moved to Chicago and purchased a home for $540,000. Due to the high crime rate, the

housing prices have been declining every year. Houses have been decreasing in value by 3.5% every

year. What is the value of Maggie’s house after 6 years?

Just write the value! $ (a)   (use commas for thousands)

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CCSS.HSF.BF.A.2