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100
What are the next 3 terms of the sequence AND name the type of sequence (Arithmetic or Geometric): -10, -1, 8, __, __, __
The sequence is Arithmetic and the next 3 terms are 17, 26, 35
100
Write the following equation: Mr. Short's name (N) is directly proportional to his height (H)
N = K*H
100
What is the center of the following circle: x^2 + y^2 = 4
The center is (0,0)
100
Given y = x^2, describe the following graph: y = (x-5)^2 - 3 How does it move?
The new graph moves to the right 5 units and down 3 units
100
Find the sum of the following: 3(3) ^ (x-1) from 1 to 4
sum(seq(3(3) ^ (x-1), x, 1, 4, 1)) = 120
200
the sum of (2x) from 1-3
sum(seq(2x, x, 1, 3, 1)) = 12
200
Set up all variables: The demand of fried chicken (D) varies jointly with the amount of free desserts (F) as well as the number of customers (C)
D = K * F * C
200
Identify the type of conic: y + x^2 = 5
Parabola (only 1 squared term)
200
Find the root of the following f(x) = 2x+2
The only root is -1
200
What are the next 3 terms of the sequence? 1, (1/2), (1/4), ___, ___, ___
(1/8), (1/16), (1/32)
300
Find the sum of 10(3/4) ^x from 0 to infinity
10 / {1 - (3/4)} = 40
300
Set up the variables for the following: The number of touchdowns (T) Adrian Peterson scores is directly proportional to the amount of carries (C) he gets
T = (K / C)
300
Write the equation of a circle with center (0, -1) and a radius of 5
(x^2) + (y+1)^2 = 25
300
Find the inverse: y = 2x + 6
y = (x - 6) / 2
300
Find the equation AND the 18th term of the sequence: 8, 12, 16, 20
The equation is 4x+4 and the 18th term is 4(18)+4=76
400
Find the sum of the following: 3(x^2)-5 FROM 0 TO 10
sum(seq(3x^2 - 5, x, 0, 10, 1)) = 1100
400
Set up the variables and solve: Mr. Short's cell phone bill (B) varies directly with the amount of text messages (T) he sent last month. If his bill last month was 200 dollars and he sent 1,000 text messages, what would his bill be if he sent 5,000 text messages this month?
B = (K * T) 200 = (K * 1,000) ------> so K = 0.2 or (1/5) Then B = (0.2 * 5,000) ------> and B = 1,000 DOLLARS!! (and perhaps another part-time job)
400
Write the equation of any hyperbola
2 squared terms being subtracted
400
The factors are (x-1)(3x-9)(x). What are the roots?
0, 1, and 3
400
Factor: (8x^3) - (64y^3)
Difference of cubes! (2x - 4y) (4x^2 + 8xy + 16y^2)
500
What type (if any) of a sequence is this? 1,-1,1,-1,1,-1, ...
Geometric (each term is being multiplied by -1)
500
Set up the following: The number of hours (H) that it takes to cook a big dinner is inversely proportional to the number of people cooking (C), but directly proportional to the number of people eating (E). If it took 5 hours for 2 chefs to make a meal for 10. How many hours would we expect 4 chefs to make a meal for 30?
H = (K * E) / C 5 = (K * 10) / 2 ------> K = 1 So H = (1 * 30) / 4 ------> H = 7.5
500
Write an equation of an ellipse with center (1, -1) and horizontal (x) length 3 and vertical (y) length of 2
{(x-1)^2 / 9} + {(y+1)^2 / 4} =
500
Write the factors of the equation with roots at 1 and a double root at 2
(x - 1) (x - 2)^2
500
Find the solution set for (x^2) + 2x = -1
{-1} Graph (x^2) + 2x + 1 and see that {-1} is a double root!.