Linear Functions
Two functions are shown below.
f(x) = 3x + 7
g(x) = 2x + 12
What is the value of x where the graphs of f(x) and g(x) intersect?
x = 5
Simplify
x^3 * x^4
x^7
1,3,9,27
Arithmetic or Geometric?
Geometric r=3
Find the solutions:
(x - 7) ( x + 9)
x = 7
x = -9
Data set B: 5, 9, 12, 4, 6, 8, 33
Calculate the median and the mean for data set B.
mean = 11 median = 8
A function is shown below.
g(x) = 19.60 + 1.74x
What is the value of g(30)?
71.8
In a game show, players play multiple rounds to score points. Each round has 2 times as many points as the round before. Create a table showing the point values for the first 4 rounds if round 1 has 8 points
8, 16, 32, 64
What is the common difference?
0.24, 0.16, 0.08, 0
d=-0.08
Write the standard form
(2x - 9)(x + 2)
2x^2 - 5x - 18
If most of my data is on the left side of the graph, I call this distribution ....
skewed right
What is the value of x in the equation shown below? 2(x + 8) – 4x = 10x + 4
x= 1
The amount of medicine in a person's bloodstream is calculated using the equation a(t) = 300 (2/3)^x
What does the 2/3 represent?
The amount of medicine left in the person's body each hour
Write the explicit equations for this sequence
2, 4 , 8, 16, 32
an = 2 * 2^(n-1)
What are the solutions to the equation
4x^2 – 52x + 169 = 121?
x = 1
x = 12
Abby scored 87, 93, 96, and 89 on her first four history quizzes. What score does Abby need to get on her fifth quiz to have an average of exactly 91 on her history quizz
90
A line, y = mx + b, passes through the point (1, 6) and is parallel to y = 4x + 6. What is the value of b?
b = -23
The amount of medicine in a person's bloodstream is calculated using the equation a(t) = 300 (2/3)^x
How much medicine is left in the body after 3 hours?
88.89
Find the missing term
3, 4.5, _____ , 10.125
6.75
A company models its net income, with the function f(x) = 9x^2 – 54x – 144, where x is the number of units of its product sold. How many units of its product does the company need to sell in order for the net income to equal $0?
$8
A set of nine data points is shown below.
8, 11, 12, 10, 9, 7, 5, 3, 9
Would the median or mean be more affected if 45 is added to the data set?
The mean would be more affected by the outlier. The mean would increase.
What is the value of x in the system of equations shown below?
5x + 4y = 1
y = 1 - x
x = -3
When a child is born, her grandfather decides to put $200 in an account that earns interest. He plans to make no other deposits or withdrawals for 18 years. When the child turns 18 years old, the money in the account will be a birthday gift. The grandfather is choosing between two options:
Option 1: An account that grows by 10.5% each year
Option 2: An account that grows by $20 each year
Which account will be worth more on the child's 18th birthday? Explain your reasoning.
Option 1. The amount will be $1206.56
The function a(n) = 3n – 7 represents a sequence. What is the sum of the 1st and 5th terms of the sequence?
-12
Factor
x^2 - 2x - 15
(x - 5) (x + 3)
What is the best measure of center for skewed distributions? What about symmetric distributions?
Skewed: Median
Symmetric: Mean