Word Problems
What is the term
Knowledge Scenario
Next 5 terms
Previous Units
200
Alissa is building a block tower. She starts with one block at the top. The tower continuously adds 2 every row that is below the other. How many rows have Alissa built if she had 153 blocks in her build
77 rows
200
What is the 12th term of the following sequence?
34, 31, 28, 25, 22, …
(Please show you work and what equation you used)
The 12th term of this sequence is 1.
200
What is a sequence?
A sequence is a list of numbers or objects, called terms, in a certain order.
(If teams answer was somewhat close then you get the points)
200
What are the next five terms of the following sequence? What is the common ratio or difference?
4, 20, 100, 500, …
2500
12500
62500
312500
1562500
The COMMON RATIO is 5
200
UNIT 1
Each set of data was collected from surveys to answer statistical questions. Select all of the data sets that represent numerical data.
A {1, 1.2, 1.4, 1.4, 1.5, 1.6, 1.8, 1.9, 2, 2, 2.1, 2.5}
B {Red, Red, Yellow, Yellow, Blue, Blue, Blue}
C {45, 60, 60, 70, 75, 80, 85, 90, 90, 100, 100, 100}
D {-7, -5, -3, -1, -1, -1, 0}
E {98.2, 98.4, 98.4, 98.6, 98.6, 98.6, 98.6, 98.7, 98.8, 98.8}
F {Yes, Yes, Yes, Yes, Maybe, Maybe, No, No, No}
G {A, A, A, B, B, B, C, C, C}
A
C
D
E
400
Mariam was filling up her pool with water. The pool already had 5 gallons of water in it. It increased by 2 gallons every minute she left the hose on. The pool has a capacity of 93 gallons. How many minutes will it take until Mariams pool is full?
45 minutes
400
Find the 9th term: 0.01, 0.1, 1, 10, 100, … _________
10,000,000
400
What formula to find any term of an arithmetic sequence?
an=a1+d(n-1)
OR
an=a1+(n-1)d
400
What are the next five terms of the following sequence? What is the common ratio or difference?
32, 26, 20, 14, 8, …
2
-4
-10
-16
-22
The COMMON DIFFERENCE is -6
400
UNIT 2
The line in each graph represents y=2x. Which graph represents 2x>y?
Graph C
600
Jackson owns an adoption center that has 650 dogs in it. 15 different people come by every day and adopt ONLY 1 dog. How many days will it take until Jackson has no more dogs in his adoption center
51 days
600
Find the 7th term: 1, 6, 36, 216, 1,296, … __________
46656
600
1. Fill in the blank
Arithmetic Sequence - is a sequence of terms that have a common _________________ between them.
2. Fill in the blank
Geometric Sequence - is a sequence of terms that have a common _________________ between them.
1. blank- DIFFERENCE
2. Ratio
600
What are the next five terms of the following sequence? What is the common ratio or difference?
2, 5, 8, 11, 14, …
17
20
23
26
39
The COMMON DIFFERENCE is 3
600
UNIT 3
Which of these scatter plots shows data that would best be modeled with a linear function?
A
B
C
D None of the above
C
800
Derek and Samaya get this statement -
Difference is 4 and the term given is 80
Derek thinks that using this equation will help him wih this situation- a80=480-1
Samaya thinks the equation- a80=a1+(80-1)4 will help
Who is correct?
Samaya
(Explain why?)
800
Find the 7th term: 1, –2, 4, –8, 16, … _________
64
800
What forms a geometric sequence?
A geometric sequence is formed by multiplying each preceding term by the same factor
800
What are the next five terms of the following sequence? What is the common ratio or difference?
1, 9, 81, 729, …
6561
59049
531441
4782969
43046721
The COMMON RATIO is 9
800
UNIT 4
Function w gives the weight of a cat, in kilograms, when it is m months old.
Which statement represents the meaning of the equation w(7)=4 in this situation?
A The cat weighs 7 kilograms when it is 4 months old.
B The cat weighs 4 kilograms when it is 7 months old.
C The weight of the cat has been 7 kilograms for 4 months.
D The cat weighs 4 kilograms when it is 7 years old.
B
1000
Amelia has 1 book from her local library center. She luckily had a membership on her and could get one book every day but would have to return the other one. What would be the first few day patterns if she had bought books for 5 days. (Ex. 8, 7, 6, 5)
1, 1, 1, 1, 1
1000
50th term: –9, 2, 13, 24, 35, …
530
1000
True or False
Arithmetic sequences diffrences can be negative
TRUE
1000
What are the next five terms of the following sequence? What is the common ratio or difference?
1,000, 200, 40, 8, ...
1.6
0.32
0.064
0.0128
0.00256
The COMMON RATIO is 1/5
1000
UNIT 5
Which function represents the relationship in the table below?
A 1⋅3x
B 3x + 3
C 3⋅3x
D 6x + 1
A