Chapter 5 Test Review

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What is another way to write (2/3)x(2/3)x(2/3)?

(2/3)^3

What is the rule in the sequence: 3, 4.5, 6, 7.5, 9, 10.5, 12, ___

+1.5

What is the rule in this sequence: 3, 6, 9, 12, ___

+3

What is the rule for the following pattern 4, 9, 14, 19...

+5

Given the expression t(n) = 7 - 4n what is the second term in the sequence?

-1

Consider the sequence 7, 3, -1, -5, -9, ... What is the next term?

-13

In an arithmetic sequence, t(6) = 71 and t(18) = 29. What is the common difference?

-3.5

Consider the sequence 7, 3, -1, -5, -9, ... What is the rule?

-4

calculate the slope of the line passing through the points (-5, 7) and (2, -1).

-8/7

A ball is dropped from a height of 3000 cm and rebounds to a height of 2535 cm. What is the rebound ratio of the ball?

.845

Identify the next term in the sequence: 8, 2, 1/2, ___

1/8

Example of Arithmetic Sequence

10, 15, 20, 25, 30...

Identify the next term in the sequence: 200, 160, 128, ___

102.4

Identify the next term in the sequence: 100, 50, 25, ___

12.5

Identify the next term in the sequence: 3, 4.5, 6, 7.5, 9, 10.5, 12, ___

13.5

Identify the next term in the sequence: 3, 6, 9, 12, ___

15

An arithmetic sequence has a first term of 0 and a 9th term of 12. If 27 is an output of the sequence, which term number is it?

18

Etta and Butch are going to have a bike race. Etta rides at a rate of 720 meters per minute, while Butch rides at a rate of 660 meters per minute. Because Butch is a bit slower, he gets a two minute head start. How many minutes before Etta catches Butch?

22

Complete the following pattern. 4, 9, 14, 19, ____

24

Identify the next term in the sequence: 1, 4, 9, 16, ___

25

What is another way to write 64?

2^6

What is the next term in the sequence: 12, 6, 3, ___

3/2

Given the expression t(n) = 2n - 1 what is the 20th term in the sequence?

39

Given the expression t(n) = 5(1)^n what is the 40th term in the sequence?

5

What is another way to write 216?

6^3

Example of Geometric Sequence

7, 21, 63, 189, 567...

In an arithmetic sequence, t(6) = 71 and t(18) = 29. What is the initial value?

88.5

Given the expression t(n) = 2n+3 what is the third term in the sequence?

9

What type of sequence is this? 12, 6, 3, ___

Geometric

Consider the sequence 7, 3, -1, -5, -9, ... What type of sequence is this?

arithmetic

Exponential

creates a curve

Linear

creates a straight line

Discrete

domain is 1,2,3, 4...

Continuous

domain is all real numbers

Describe the following expression: y = 100000 (.99)^x

exponential decreasing

Describe the following expression: y= 2x+3

linear increasing

What is the rule in the sequence: 1, 4, 9, 16, ___

perfect squares

In an arithmetic sequence, t(6) = 71 and t(18) = 29. Write the rule for this sequence.

t(n) = 92 - 3.5n

General form of a geometric sequence

t(n) = a (b)^n

General form of an arithmetic sequence

t(n) = mn + b

What is the rule in the sequence: 100, 50, 25, ___

x (1/2)

What is the rule in the sequence: 8, 2, 1/2, ___

x (1/4)

What is the rule in the sequence: 200, 160, 128, ___

x (4/5)

It costs $20 plus $1.50 per hour to rent a golf cart. Write an equation showing the relationship between the cost of renting a cart (y) and the number of hours it was rented (x).

y = 1.5x + 20

Equation with a slope of -2 passing through the point (-11, 17).

y=-2x-5,

Write the equation of the line parallel to the line -x+2y=12 that goes through the point (10, 8).

y=12x+3

Equation with a slope of 0.25 and an x-intercept of - 4.

y=14x+1

Describe the following expression: y = 7(5)^x

exponential increasing

Example of a decreasing linear function

f(x) = 3 - 2x

Example of increasing exponential function

f(x) = 5 (3)^x

Example of an increasing linear function

f(x) = 5x + 3

Describe the following expression: y= 3-5x

linear decreasing


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