Common Core HSF.LE.A.2 worksheet

Question 1

The nth term of a sequence is 4n − 2. What is the 20th term?

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Question 2

A 36 mg sample decays to 9 mg in 4 days. What is its half-life in days?

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Question 3

$3000 is invested at 2% a year, compounded quarterly. Use A = P(1 + r/n)^(nt) to find the value after 10 years, to 2 decimal places.

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Question 4

Write y − 1 = 2(x − 3) in the form y = mx + b. Type the right-hand side.

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Question 5

Find the sum of the first 40 terms of the arithmetic series 16 + 23 + 30 + …

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Question 6

$6000 earns 3% a year compounded continuously: A = Pe^(rt). Find the value after 8 years, to 2 decimal places.

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Question 7

A population of 1800 grows by 8% each year. Write the model P(t) = 1800(b)ᵗ and find P(6), to the nearest whole number.

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Question 8

In an arithmetic sequence, a₆ = 25 and a₈ = 39. Find the first term a₁.

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Question 9

Omar's phone plan costs 2 more for each extra gigabyte of data. A month with 5 GB costs 33. Using cost = m × GB + b, find b, the fixed monthly charge.

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Question 10

Does y = 26(0.95)ˣ show exponential growth or decay?

• A. Growth
• B. Decay

Question 11

The sequence −9, −15, −21, … continues with the same difference. Which term is equal to −267?

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Question 12

Is 76 a term in the sequence with nth term 9n + 1?

• A. Yes
• B. No

Question 13

The half-life of a medicine in the blood is 2 hours. Starting with 100 mg, how much is left after 4 hours?

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Question 14

Find the equation of the line through (−3, 0) and (−6, 1). Type the right-hand side of y = … (fractions are fine).

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Question 15

y = 25 × 2ˣ. Find y when x = 4. Round to 2 decimal places if needed.

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Question 16

An exponential function y = abˣ passes through (1, 20) and (2, 100). What is b?

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