Questions

1)

Define a sequence.

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2)

Define an arithmetic sequence.

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3)

Find the next three terms in the following arithmetic sequence:

2, 13, 24, 35, …

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4)

Find the next three terms in the following arithmetic sequence:

31, 24, 17, 10, …

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5)

Find the first five terms of the sequence for which:

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6)

Given the following sequence, find a₁ and d. 34, 40, 46, 52, 58, 64…

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7)

Write the explicit formula for the following sequence: 88, 81, 74, 67, 60…

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8)

Use the following table to write an explicit formula for the sequence.

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9)

Write the formula for the following sequence in function notation.

23, 24, 25, 26, 27…

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10)

Given the explicit formula of a_n = 9 + (n – 1) × 3, find the 50^th term of the sequence.

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11)

When graphed, an explicit formula for an arithmetic sequence looks like:

A) parabola

B) exponential function

C) a line

D) no correlation

12)

Fill in the following table using the formula f (n) = –4 + (n – 1) × 2.

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13)

Given the explicit formula a_n = 6 + (n – 1) × –3, state a₁ and d.

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14)

Find the 29^th term of an arithmetic sequence with a₁ = 2 and d = 5.

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15)

Find the 34^th term of the sequence 55, 51, 47, 43, …

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16)

There are 25 rows of seats in the high school auditorium with 20 seats in the first row, 21 seats in the second row, 22 seats in the third row, and so on. How many seats are in the 15^th row?

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17)

A pile of bricks has 93 bricks in the first row, 89 bricks in the second row, 85 bricks in the third row, and so on. How many bricks are there in the 12^th row?

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18)

The soccer team is doing a fundraiser to earn money for uniforms. They need to earn $805 to have enough to buy uniforms for the entire team. They are selling mugs for $6 and seat cushions for $8. Write an inequality that shows how much they must sell to raise enough money. Define your variables.

Click here to review the unit content explanation for Inequalities in Context.

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19)

Solve for x. x² + 4x + 8 = 0

Click here to review the unit content explanation for Quadratics with Complex Roots.

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20)

Simplify.

Click here to review the unit content explanation for Quotients of Monomials.

A) Choice A

B) Choice B

C) Choice C

D) Choice D

21)

Simplify.

Click here to review the unit content explanation for Rational Expressions and Functions.

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22)

Multiply.

Click here to review the unit content explanation for Rational Expressions.

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23)

Find the inverse of the function f (x) = x + 23.

Click here to review the unit content explanation for Functions and Inverses of Functions.

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24)

Jack charges a flat fee of $55 to make a house call and check plumbing. He then charges an hourly rate of $40 per hour based on how long he is there. Write a function that describes how much Jack will charge for his service.

Click here to review the unit content explanation for Functions and Relations.

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25)

Solve: 7x – 3(x + 2) > 6

Click here to review the unit content explanation for Inequalities and Measurements.

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26)

Factor the quadratic expression completely.

Click here to review the unit content explanation for Factoring.

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27)

How many real solutions does a quadratic equation have if its discriminant has a value that is (a) positive, (b) negative, and (c) zero?

Click here to review the unit content explanation for Quadratics with Complex Roots.

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28)

Solve for “x.”

Click here to review the unit content explanation for Factoring.

Click here to review the unit content explanation for More on Quadratics.

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29)

Describe how the graph of the function f (x) = (x + 7)² – 3 is translated from its parent function f (x) = x².

Click here to review the unit content explanation for Transformations.

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30)

Give the intersection points of the functions f (x) = x² + 3 and g(x) = x + 5.

Click here to review the unit content explanation for Functions – Intersections, Interpretations, and Deeper Understanding.

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31)

Given a best fit line of y = –2.4x + 130, what is the correlation?

Click here to review the unit content explanation for Scatter Plots and Interpreting Graphs.

A) positive

B) negative

C) no correlation

D) zero correlation

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