Chapter 5 Test Review
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
