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10

What is an arithmetic sequence?

  • A sequence of numbers with a common ratio
  • A sequence of numbers with a common sum
  • A sequence of numbers with a common product
  • A sequence of numbers with a common difference
  • A sequence of numbers with a common difference

   

10
  • What is the sum of the first 10 terms of the arithmetic series 3, 7, 11, 15, …?

210

10
  • Simplify the ratio 18:42 to its simplest form.

3:7      

10
  • If y is inversely proportional to x, and y = 4 when x = 8, what is the constant of proportionality, k?

32

10
  • The relationship between two variables, x and y, is given by the table of values: (2, 10), (4, 5), (10, 2). What type of relationship is this?
  • Inverse proportion
10

A population of bacteria starts at 100 and grows by 5% every hour. Which equation models this growth?

  • P(t) = 100(1.05)t
  • P(t) = 100(0.5)t
  • P(t) =  100(5)t  
  • P(t) = 100 + 1.05t
  • P(t) = 100(1.05)t
10
  • What is the common difference in the arithmetic sequence 7, 12, 17, 22, 27?



5 

10

Which of the following is NOT an arithmetic sequence?

  • 2, 5, 8, 11, 14, …   
  • 1, 2, 4, 8, 16, …
  • 10, 7, 4, 1, -2, …    
  • 0, 3, 6, 9, 12, ….
  • 1, 2, 4, 8, 16, …
10

Which of the following equations represents a direct proportion between variables y and x, where k is the constant of proportionality?

  • y = kx2                  
  • y = kx
  • x + y = k               
  • y = k/x

 

  • y = kx
10
  • If y is directly proportional to x, and y = 20 when x = 5, find y when x = 9.


36

10
  • A team of 5 workers can complete a project in 10 days. If the work is inversely proportional to the number of workers, how long would it take 2 workers to complete the same project?

25 days

10
  • What is the equation of the horizontal asymptote for the basic exponential function y = 3x?
  • y = 0
10
  • The first term of an arithmetic sequence is 3, and the common difference is -2. What is the fifth term?





-5

10
  • If the 8th term of an arithmetic sequence is 31 and the common difference is 3, what is the formula for the nth term?
  • an = 3n + 7
10
  • If y is directly proportional to x, and y = 15 when x = 3, what is the constant of proportionality, k?
  • 5
10
  • What is the shape of the graph that represents an inverse proportion, y = k/x (for k > 0)?

A hyperbola

10

For the graph of an inverse proportion, y = k/x (with k>0), what happens to the value of y as the value of x approaches infinity?

  • y approaches infinity.
  • y approaches the value of k.
  • y approaches zero.
  • y approaches a negative number.

      


  • y approaches zero.
10

What is the domain of the function y = 2x?

  • All non-negative real numbers 
  • All positive real numbers 
  • Only integers
  • All real numbers
  • All real numbers
10
  • What is the 10th term of the arithmetic sequence with a common difference of 4 and a first term of -2?
  • 34
10
  • How many terms are in the sequence 8, 11, 14, …, 50?
  • 16
10
  • A graph of a direct proportion (y=kx) is a straight line. Through which point must this line always pass?




(0,0)

10
  • A chef wants to divide 30 kg of rice into two bags in the ratio 2:3. How much rice will be in the larger bag?
  • 18 kg
10

Which of the following equations represents exponential decay?

  • y = 5 (0.80)x        
  • y = 0.5 (2)X
  • y = 3 (1.5)x           
  • y = 2x + 7

y = 5 (0.80)x

10

Which of the following functions exhibits the fastest exponential growth?

  • y = 5(2)x             
  • y = 4x
  • y =  3(1.5)x                   
  • y = 10(3)x
  • y = 4x
10
  • Which term of the arithmetic sequence 3, 8, 13, 18, … is equal to 43?
  • 9
10

Find the value of x such that x + 2, 4x + 1, and 6x + 3 are consecutive terms in an arithmetic sequence.

  • x =1               
  • x = 3
  • x = 2                       
  • x = 4



  • x = 3
10

The time (T) it takes to paint a house is inversely proportional to the number of painters (N). Which equation represents this relationship, where k is the constant of proportionality?

  • T = N + k              
  • T = k square root of N
  • T = Kn                  
  • T = k/N
  • T = k/N
10

Which of the following scenarios represents an inverse proportion?

  • The price of gasoline and the amount of gas you can buy with $20.
  • The age of a person and their height.
  • The circumference of a circle and its diameter.
  • The number of hours worked and the money earned at a fixed hourly rate.
  • The price of gasoline and the amount of gas you can buy with $20.
10

Which of the following equations represents exponential growth?

  • y = 5x2                 
  • y = 10(1/4)x
  • y = 0.5(3)x          
  • y = 100(0.99)x

y = 0.5(3)x 

10
  • An exponential function has a growth factor of 1.15. What is the percentage growth rate?
  • 15%
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