Patterns
Linear Functions
Quadratic Equations
Exponential Functions
Mystery
100
How many trees are in the Tenth Term of this pattern?
21
100
What is the y -intercept of the line 3x-7y=21 ?
-3
100
What is the smaller of the two solutions to the quadratic equation below?
x^2+6x+5=0
The smaller solution is
x=-5
100
A car depreciates (loses value) at the rate of 17% per year. The equation describing the value of the car t years after purchase is
A=P(r)^t
What is the value of r ?
0.83
100
Each year, the value of an investment increases by 0.6% of its value in the previous year. Which of the following functions best models how the value of the investment changes over time? [Be prepared to defend your answer].
(A) Decreasing exponential
(B) Decreasing linear
(C) Increasing exponential
(D) Increasing linear
(C) Increasing exponential.
200
Given the sequence of numbers
3, 6, 12, 24,...
what is the Seventh Term of this pattern?
This is exponential growth.
The Seventh Term is 192.
200
What is the slope of the line passing through the points (-3,-1) and (-5,-8) ?
m=3.5
200
Below, an equation is being solved by completing the square. What number should be added to both sides of the equation as the next step in the solution?
Equation: x^2+5x-6=0
Step 1: x^2+5x=6
6.25
200
The equation E=5(1.8)^t gives the estimated number of employees at a restaurant t years after the restaurant opened. What is the interpretation of the number 5 in this context?
The number of employees when the restaurant opened.
200
What is the factor that the two expressions below have in common?
x^2-6x+8
x^2-16
(x-4)
300
These are the first two terms of a pattern. Assuming every cube face is painted a different color, how many unit cubes in the Tenth Term have one of their faces painted green?
196
300
For the system of equations below, what value of the constant c will ensure that the system has infinitely many solutions?
4x-5y=9
12x-15y=3c
c=9
300
How many solutions does the equation below have?
7x^2-19x+13=0
The equation has no real solutions.
300
A population of bacteria grows continuously at the rate of 15% every 15 minutes. If the population started with 100 bacteria, how many bacteria are there after two and a half hours? (Round to the nearest whole number)
448
300
The equation f(x)=420(1.025)^t models the value, in dollars, of a bank account t years after 1990 . In this context, what is the most accurate interpretation of the statement " f(6) is approximately 487 "?
In 1996 , there are approximately $487 in the bank account.